Upload
buikiet
View
224
Download
0
Embed Size (px)
Citation preview
PE~EH3DJI
no KOHKYPC
3a 3aeMaHe Ha aKaneMWfHaTa )lJIbJKHOCT ~OQeHT
IlpofileCHOHaJIHO HarrpaBJ1eHHe 45 MaTeMaTHK3 ( )Ja4raquoepeBQUaJlBB YP8BBeHHD)
06HBeH B l(B 6p 7 OT 2401l2012r
3a HY)J()UiTe Ha KaTezpa AJrre6pa II reoMeIpIDJ KbM ltIgtIIMl1 TY C0ltpIDI
PeneHleHT CHe)f(aHa r eoprneBa XpHcToBa aMH npoqecopIIYIIXDrreH21apCKH
1 06mH DOJ1oeUHH H 6Horpa+ulIuu ~aHRB
CLC 38flOBell N OTI-100 OT 27032012r Ha PelltTopa Ha TY-ColtlnuJ ChM orrpelleJTena 3a
illeR Ha Ha)IHOTO lK)PH Ha KOHKypC 3a 3aeMaae Ha aKaneMlRHaTa nJTbl(flOCT lloueHT B TYshyC04gtIDI no 06naCT Ha RHcme 06pa30Brurne 4 TIPBpOJlHH Ha)KH MaTeMaTHKa H HHlJopMaTIIIlta~
npoqecHOHaJIHO HanpasrrellBe 45 MaTeMaTHKa ()lHqepeHUHaJIHH ypasHeRWI)
3a yqacme B o6smeHIDI ICOmcypC e UOllaJI )loKyMeHTII ezumCTBeH KaH)lHraT
rrr ac IJ-p Kanl feoprnesa nmmmeBa OT TY-COltllRJI
rn ae n-p KaTJI 1JlIIIIJIlIeBa e 3asLpnmrra lIpe3 1978 r lttgtaK)JITeTa no MaTeMaTHKa II
MeXamJKa npn CY Kn OXplUlCKH CLlI(aTa e acnCTeHT OT 1980 roLlHHa omaiano B Macnnyra
3a qygtKDeCTpaHHH cT)lleHTH a OT 2000 r llocera - B TY-C04gtIDI lCaTO OT 1993 r e maseR
acHcTeHT Te TJI e 3aeMaJIa )lJIL)l(HOCTTa rn aCDCTeBT 22 roIJHHH C ROCTO yIoBneTBOpKBa
H3HCKBaHBJITa fia 3PACPE rn ae J-p K )lmnillleBa e 3an(HTBJIa JOKTOpCKa llHCepTaIlHJI Ha TeMa
BbPXY KaleCm8eHama meopWl Na UMnYJlCHU oufjJepelllfUaJlNU ypa8HeNWl u npWlOJICeHWl upe3
2011 r KaHItHnaTKaTa e BOJlHJla ynpa)I(HelDlJl no pa3JIH1IHH MaTeMa11ftieCKH ItHCl(HllJIHBH II e qena
neKr(HH KaKTO B HHcTIlT)Ta 3a qy~ecTpaRHlf cT)lleHTIl Taxa R B lY CbmaTa BJ[~ee aarJIDiiCKR
n pyclCH e3HIC Ha MHoro BHCOKO BHBO KaTO B MOMeHTa ~CTe neKllRH II Ha aHrJmifcKH e3HK 3a
1J))KllOe3HKOBOTO o6yqeHHe B 1Y-Co$HJl
2 06IQO ODBcaHBe ua npellCT8BeHHTe MaTepU3JIB
TIpenCTaseHHTe OT KaTJI nmrnnresa KOMIIJJeKT MaTepHaJTH Ha xaprneu BOCHTeJI e BaJJbJIBO
B CLOTBeTCTBHe C TIpaBHJIHHKa 3a rrpH)lo6HBaae Ha HayqIDr CTeneRD Ff 3aeMaHe Ha aKal(eMHllllH
llJIbJKHOCTH B 1Y-CO$HJI
KaallKllaTKaTa KaTJI nmrumeBa e npHnO)J(JIJIa 3a peneB3IIpaae o6lI(o 25 HayqRH
rry6JDIKaIIDf OT KORTO ellBa MOHorpaqIHI TpII yqe68H ITOMaraJIa (ellHOTo e B OHrulliH BepcIDI) II
OCTaHanHTe 21 ca Ha~ CTanm BCJl1fKHTe ny6JDIKamnt ca D3BLH )lHCepTaIlHOHHIDI 1JlYJl 3a
1
npOZJ06HBaHe Da ORC )OKTOP Te ca B TIICDa SpL3Ka c np06JIeMaTHKaTa Ha KOHKYPca H
nOllJ1egtKaT Da peneH3BpaJIe
3 06m3 xapalCTepKCTHKa Da naYlHo-H3CJ1elloBaTeJlcK8T3 H H8yqHOshy
HpBJlOlla lleiiooCT H3 KaHJHll3T3
fIpellJ1oJKemt ca 3a peneB3Hpaae 21 DayUlli CTaTHH Komo ca8IlBe OCHOBRB HarrprumeHIDlshy
noligtepeHIBaJIHH yprumcHIDI (13 rry6JIHKamm) H MeTO)J1lKa sa o6~eHHeTO rro MaTeMaTHKa (8
ny6Jl11K~) OTDlX 5 ca pe310MeTa B c60PIIHQlI Da MeacayuapOZJHH KOHlaquopepeunIDI fOJUlMatJaCT
OT HaylliHTe CTaTRH oc06eDo Te3B B 06nacTIa Ha IlHlaquoPepelIIlHaJIBBTe ypaBHeHIDl ca Da aRfJmBCKH
e3l1K If ca ny6rrmcyB8HlI B npeCTIDKHH MegtKll)RapOAmr crmcaHlUf 1ltaTO Nonlinear Analysis series B Real World Applications (HMIIaKT ltpaKTOP 2138) International Journal ofDifferential Equations and Applications Communications of Applied Analysis OceM OT npellCTaBemrre CTamB ca
CaMOCTOJlTeJIBlJ KOeTO llOITbJlHlITeJ1ll0 IlOKa3Ba tie KaHlJHlJaTKaTa HMR rOmIM RayqeH nOTeHlIBaJI B
Bb3MOIKHOCTB 3a CaMOCTOJITeJIHO lDCJleIlBaae B 06nacTTa Da MaTeMaTHKaTa Il(e oT6enelKa lfe
npeuCTaaeHBTe pa60TB 06XBaIQaT emm cpaBHHTeJIHO r(bJlbr nepHOn OT IlOBelfe OT 20 TOllHHH
TOBa roBOP 3a npOr(bJDKDTeJIHaTa neDpelCbcHaTa II DJIO)lOTBOpna RayqBa neHBocT Ra
KaHllHnaTKaTa IlpaB8 Il06po BDeqaTJIeRBe 11IBp0KIDIT 06xaaT B Pa3DOCTpaumurr xapaKTep Ha
H3CrrellBaJIHTe OT KaHnHZJaTKaTa rrp06neMH Heibnrre IDcnellB8HHJl BKJIlOIBaT KaKTO n1gtJl60KH
TeopeTWIHH pe3yJITam TaKa n MeTOnwIeCKB B3cnellB3HIDI oc06eHo rrOJIe3HH upu pa60TaTa CbC
cT)neHTHTe H ca TIlCRO CBLP3aH1I C npoligtecHODaJIHOTO B lDpaCTBaHe If H3IpagtKnaae KaTO epYDRpan
B CTOHHOCTeB nperronaBaTeJI B ymmepCHTeT
me Hanpawl KpaThK 0630p Da Hayqmrre H3cnelJBaRIDI Da KaHlUIlaTKaTa KORTO me PaJneJlll
Ha cneMflITe l(Be 06naCTB
AI HCJle()lIanUJI II o6nacmma na ()utjJepenuuartHume ypatfHellUR- OT rrpenCTaBemrre
MaTepHaJllJ KaKTO H nOKTOpCKaTa mcepTauwJ onpeneneHO JIHtJR Ie sa~e
BHTepeCH Ha rn ac Il-P K Laurrmesa s rrocJIenmrre ronmm ca HMeHBO B Ta3H 06nacT
Tg e npoBena pezUIIa TeOpeTIflIHH lf3CrrelJBaHlUI B 06rraCTTa Ha lUfqepeHlJHaJIHHTe
yprumeBIDI H e nonytmJIa cbllJeCTBellll KaIeCTBeHlI pe3YJITarn 3a pememtllTa sa
113CnelJBamITe ypaBSeHBJI me DaJTpaBJI no-nOllp06eH upernell aa Te3H pe3YJITarn KaTO
me IB 06e~ 8 IDIIltOJIKO rpyrm
1 HepeKbcnama 3a6UCIIMOCm - K rmwmeBa e BanpaBHIla 3aznJI6oIeRO II
rumOCTHO R3CneIlBaJIe Da HerrpeKbCHBTaTB 3aBHClIMOCT H JHcpepeHQHpyeMocT Ha
pememurra Ra pa3JIH1JHH TmIOBe llHcpepemlllaJIllH ypaaHeHIDl
B pa60Ta )1 ca pa3rnellaHB Hemmemm HeaBTOBOMHH mcpepemummrn ypaBseIIJUI
aa KORTO MCRaTa CTpaHa e rrOZJJIOlKeHa Da CMYmeHIDI B H3MepBMO speMeBu
nOnMBOlKecTBO Da orprumqeHIDl neligtHliHIlHORen HHTepB3Jl OT BpeMe
B pa60Ta 62 IrLK ce H3CJIelJBaT llHltpepeHIJHarrHH ypasHeHWI Komo HMaT KaKTO
npOMeBJIHBa CTp)KT)Pa TaKB II RMII)nCH Pa3rrrenaBlf ca ypaaHeHIDl Dpe KORTO
MOMeSTIITe BB rrpeBKJUOBaHe CLBDanaT C MOMelITHTe B KORTO IpaeKTopuTa sa
pemeBHeTO BHyrmpa rrpellBapmeJIHo 3ananeHa qYHKIJHJJ Ih~eBo e BlIIDlHHeTO HB
npeBKJII01BaIIlHTe Qgt)HKIllIH BLPxy pemeswrra
2
2 TllaoKocm na peUlellURma - B pa60Ta E3 KaHlUI]lanltaTa e H3crrezrearra rrrallKOCTIa
Ra pemeHruITa Ha AHltpepe~HaIJHH ypaBHeHIDI C BMIl)rrcB BLB ltjgtHKCHPaHB MOMeRTII
OT BpeMe P33rJIe)lan e CJl)WI Ha orpaIIHqeH BpeMeBH mITepBaJI Oco6eHo
BrreIJaTrreHHe MB HCmpaBH ltjgtrucra Ie T33lf pa60Ta e CaMOCTowreJIlfa Ii e rry6J1l1K)BaHa
upe3 2011 B rrpeCTFOlltHOTO CTrnCaRHe Nonlinear Analysis series B Real World Applications C BRCOK 3a MaTeM3THKaTa HMIIaKT IPaKTop (2138) TOBa ome Be)UIb1K
onpeneJJeHO nOK33Ba 3HaIJRMOCTTa oa nOII)IeHIDl OT KawnmaTKaTa pe3ynTaT
3 YcmoulIutlocm - KaJflH)aTKam e [IonylJIDla nOCTaTh1ffiH ycnoBIDI 3a YCTOitIHBOCT
paDHOMepHa YCTOHIJHBOCT H acHMnTOTIflieCKa YCTOHIJJIBOCTHa ayneBoTo pemeHBe Ha
aeJIllHeIiHH IUlIilepeHIUlaJIFIIl ypaBHeHHJI C npOMeBJmBa CTJgtYKTYPa H HMnyrrCH
OCHOBHIDIT H3nOJl3BaH MeTO] e BTOpIDl MeTOll aa JImyHOB KaTO YMeno e BbBe)leHa K
npKJIO)KeHa [I0MOlI(Ha pellBna OT IPymaum aa JUmyHoB
4 MOOeJlUpaHe 6 nonyJlal(UOnHama OUHlIJfUKa - K )lmnJIBeBa e p33rrrenana
KDaCHIeCKlUI MOllerr aa JIOTK3-BoJITepa 3a KOitTO e H3cnezrearra op6marrHaTa
rpaBHTaIlWi I-bYtHJIa e Ii YCTOWnmoClTIl Ha pemeHIDITa Ha MOlleJJa KaTO e
mnOJf3BaHa CneUHaJlHO BbBelleHa MeTpHKa (B)I E4)
5 Ypa6HeHue Ha KllauH-TopOOH - B pa60Ta E6 ce C1gtlJeTaBaT IilleHTe aa
JlHpepeBIUlaJIHlITe ypasHeBIDI C Teoprurra na sepoKfBoCTBTe HaMepea8 e
nOllXO)J)llIa BepOHTHOCrna IIJIl)THOCT KaTO e nocIpoeHo H nOllXo)lJIIIlo eBorrronBOHHO
ypaBRemre KOeTO JlelPuHHpa IP)lIKIlHBTIl Ha pcnnpellerreHHe
fn ac l-P K UHIIIJmeBa yqacTBa B KOHKYPca H c elBa MOHorpaltjgtIDl Specific Asymptotic Properties of the Solutions of Impulsive Differential Equations Methods and Applications CLC
C1gtaBTOPH A [tHIIIJIHeB H CB HeHoB MOHOrpaltpIDITa e ny6JIHKyBaBa IIpe3 2012r CLllLp)(a 291 CTp H e IIOCBeTeHa Ha Teopnwra aa BMIIyncRJI )lDqepeHnHaIImI ypaBReHIDl MOHorpaqHwra e
c1pYKTYPupaaa B 8 masH B e aa aIJrJmHCICB e3mc Koero jI npasH llOCThIIBa llO Me~apO)lBaTa
MaTeMaTHIJeCKa 06mBOCT IT(e oroene)K3 qe B o6JIacTIa aa KMnyJICBlITe llBltpepeHllIaJIHH
ypaBHeHIDI JlOcera HMa ny6JIKKYB3HH OKono 20 MOHorpaltjgtmr 3a pa3llHKa OT OCTIlRamrre KBBIH B
T33H MOHorpatiJIDI ce aKneHTHpa aa WlKOH cneUHamm KalieCTBeHH CBOHCTBa Ha pemeInlJITa B Heg
ca cb6pamr OCHOBHO H3cnezreamurra Ha aBTOpHTe KaTO rOllilMa laCT OT pe3ymanne ca
B3aHMCTBaHH OT mrCepTaJJHJJTa Ha m ac Jl-P K UHlIIJllieBa KaKTO H OT HeitHB CTanm yrIacTBamH
B KOHKypca B MOHorpatiJIDITa e HaITpaBeHO rvmOCTHO H3crrelBaHe aa HerrpenCHaTaTa 3aDHCBMOCT
Ba pemeHIDITa aa HemmeMH HMTI)ncHH IlHtPepeHnHaJIHH ypaBHeHHlI PcnrrreJlaHB ca lltaKTO
cnyqrur aa npelBapHTeJIHo 3aLl3leHH ltjgtmcCHPaHH MOMeHTH (rJIasa 1 11 2) TaKa H crrylaJI KoraTO
KMIIYJIcHTe ce OC1gtmeCTBJIBaT BLPxy XHIlepnOBopXHlmH (maDa 3 4 H 8) UaneHH ca YCJIOBlIJl 3a
OTCbCTBBe aa TH SlBJIeHKe 6Hene KoeTO oKcnBa 3BaIJHTeJIHO BJIRJlHHe BLPxy CLDleCTBYBaBeTO
aa pemeHlIeTO B C11)I3Jl aa HMnynca B1gtPxy TH 6apHepHH KlulBB (rnaBa 4) ce BLBe)(lla
nOHJJTHeTO HenpeK1iCHaTa 3asUCBMOCT no OTBOmeIDfe Ha Te3lf 6apBepHB KpHBli H ca IIolTyrIeHH
llOCTan~ YCJIOBIDI B IIOCJIe)lBaTa rnaBa ca H3nO)KeHH pe3yrrram 3a HenpenCHaTa 3aBBCHMOCT
aa pemeHllJlTa aa ypaBHeHIDl KORTO aT e)lBa c1paBa BMaT npOMeHmma cTPYKTYPa a OT llpyra ca
no~nmKeHB Ha HMIIyJICRB c~eHIDI B npOMeHJIBBH MOMeBTB (Be maBH ca nOCBeTeHH sa
H3n0Jl3BaHeTO aa nollXoIVllIlO 1D6pana XaYCJlOPIPOBa MeTpHKa 3a aBTOHOMllH HMIIYnCElH
JlHtiJepeHDHaJIHH ypaBHeHIDl B CJI)lWl KoraTO HMD)JICHTe ce OCbmeCTIUlBaT BLPXY TO HMIIYrrCHO
MHO)KeCTBO pa3nOJlO)KeHO BLB IPaJOBOTO npoCTpaHCTBO aa ypaBHeHHBTa npaBR BrrelJaTJIeHHe lie
3
pe3ym3nrre B rJIaBa 2 ce OCHOBaBaT H3 paooTa E3 a pe3ynTam OT CTaTImTe E1 H E4 ca
BKJUOIeHH B rJIaBH 1 2 6
KaHZUIlIaTKaI3 e npeJ(cTaBHJIa H 5 pe3IOMeTa H3 J(0K1IanH Ha Me~apOJ(HH
KOHqepeHUKB pe3YJIT3THTe ff3 KORTO H3Tne2KllaT HHTepecmr HO Ha TID HJlMa J(a ce CDHPaM
1l0Pawr mmca R3 no-nOJtPOORa HHlflopMamur
HI HCJletgt6aHUR 8 o6Jlacmma Na wemotgtuKama Ha penotgta(JQHemo Ha MameMamUKamashyrJI ac J(-P K UmmmeB3 e npellCTaBHJIa 8 H3)fHl1 CTanm B Ta3H oonaeT Te3lf CTaTIDI ca
nyoJIHKYBaHH OCBOBRO B rOJ(BLUHHK3 H3 ImCTHTyTa 33 IYgtKllec-rpamm CTYneHTH KaTO 5 OT
TJIX ca CaMOCTowremm OCHOBHHTe npooJleMH H3Cne1lB8RlI B npHJImKeRHTe CTaTHH ca
CBDP3aHH C ocOOeHOCTHTe B 06YQeHHeTO sa CTYJ(eBTBTe-qygtKneHIlH DO MaTeMaTHKa ope3 TH
nonrOTBHTeJIHa rODHHa Pa3meIJaBH ca pa3JmlHB Ie IflOPMlI Ha YCTRH yrrpIDKHeHIDJ (f1)
Ka1ltTO U yMeHHeTona ce mpa3JlBa MaTeM3TH1eCKOTO 3HaHHe B pa3JDfqffil centOPMB (r3) MHoro
J(06po BneQaTJIeHHe oprum H306uJIHeTO OT DOnxONIIIJH rrpHMepH UJOOCTpHPaIIUI
H3CJIeJ(Bamrre upo6JIeMH
Hanpcrneoo e cHCTeMaU13l1paHe Ha rrpooJIeMHTe B qy)K)JOe3HKOBOTO ooyqeHHe no
MaTeMaTIfK3 ()(2 K U3)
B pa60TII r4 H [1 e npe)UIO)l(eHa rpuCTeneHHa MeTOllHIeCKa pa3paooTKa (npOITHJ(eBTHK3
BDBe)KnaHe H 3aTBbpgtKllaBaHe) 3a DBe OT BaH Tpyl(BlITe 3a YCBOJlBaHe TeMH- rpaHUlIa Ha
rPYHKlUU U HenpeKbCHamocm
4 OQeHKa Ha nezarOrB1leCKaT3 DOWOTOBKa H IleUHOCT H3 KaozUIlaT3
He D03SaBaM rlI ac n-p K UH11IlIHeBa mrrmo KaTO npenonaBaTeJI BO ReHBOTO
nenarOrJrIIeCKO yMeHHe MHoro RCBO JIH1llJ OT rrpeJ(cTaBe8llTe y-qefiHH nOMarana KaazumaTKara e
rrpeJ(CTaBmra pH y-qe6HU nocoou 1lBe Ha xapmeR HOCUTerr H eIJHo erreKTpoHHo Ile HanpaBR
KpaThK 0030P aa Te3H IJocoou
EmIOTO OT TJIX YsooeJl KYpc no MameMamuKa MOOYJl 1 e B CbaBTOPCTBO C A PORKOB
CDJlLp)l(a 105 cTp H e H3llalleHO opel 2006 To e npeIJHa3HaQeHO 3a qyxmecTpamnrre cryJ(eHTII OT
TY-COqIDI If BKJ1IltlIBa OCHOBHHTe TeMH HeofixoJ(HM1 KaTO OCHOBa 3a myqaBaHeTo U3
znrltgtepeHIlHaJIHOTO H HHTerparmoTo CMHTaHe TeMHTe KOHTO ce p83rJIegtKllaT ca OCHOBHH
eneMeHTH OT Teopmrra ua MHO)l(eCTBaTa lleHCTBHRT3 C peaJ1HBTe lHClla aepaBeHcTBa 11
ypaBHeHllJI (mmeHmi KBazwaTHH HPaIUlOHaJIHH IIOKa3aTemm noraplITMH1ffiH) BCRKa TeM3
3aJlOtBa C KpaTKO 80 Maoro HHljlopMaTHBHO H3lIOlKeHHe a3 CbOTBeTH1ITe reopeTIPIBlJ pe3YJITaTH H
e rrocneJ(BaHO OT MRO)l(eCTBO UOJlXOIDIlllO H30PaHR ITpHMepH npaBJf J(06po BnelaTrremte H3llfRa
na IIOJ(pe)l(llaHe Ha npHMepHTe OT IIo-neCHH KLM 1l0-TPYIJHH KOeTO KpaCROpeIBBO roBopn 33
rreIJarOIHIeCKOTO yMeHHe Ha aBTOpHTe JhAHo a3 omc npenopDtJarra ll3 ce n06awrr nOBeqe pemeHH
ITpHMepn n BCHlKHTe nplIMepH ll3 ODnaT nOHe C OTIOBOpB TOBa 6H llaJlO Bb3MOJKBOCT 1l0cooueTO
lla ce H3nOJI3Ba ycnenmo He CaMO B tJ3COBere 33 yrrpIDKHeHIDI HO II 33 CaMOCTOfieJ1Ha OOJ(lOTOBKa
aa cTlleHTIITe
)(pyrOTO y-qe6HO nocoone Mathematics I e B CbaBTOPCTBO C K ileeBa cLmp)I(a 109 cTp
H e rry6JIHKYBaHO npe3 2009 To e oarmCaHO Ha aormmcKH e3HK n e opaeRTHpaHo KLM
lYJK)lOe3HKOBOTO 06yqeHUe oa cT)lleHTHTe B TY-COqIDI no KOMmOTIgtPHH HaKH H MexaTpOHHKa
To OOXBama OCHOBHHTe KJIaClPIeCKH TeMH no mmemm arrre6pa KaTO KOMl1lIeKCHB lHCJIa
4
IIOJIHHOMll MaTpHIUl IeTepMJUlaHTII CHCTeMB JIHEIeftmr ypaBHeHIDl ABTopwre ca CH nOCTaBWTU 3a
nerrna npeLVJOJKaT IIocofiHe KOeTO Jla cnOMorne aa cTyleHTBTe He CaMO 3a no-rreCBOTO YCBOKBaBe
Ha MaTepHaJIa no B Cb~OTO BpeMe H 3a 3aznrr6olienoTO H JlOrwIeCKOTO MY pa3finpaae Tam CH nen
Te ca $I IIOCmTBaJIH ycnenmo ICaTO ca H36eraaJIH CJlO)KlIB lOKaJaTeJlCTBa aa MaTeMaTWIeCKH
IPaKTIf a a HafinernaJIH na IIpHJTO)l(eHHeTO aa CD TBennlTe MeT01H H TeXHHKH BLPxy nolXOlVUIlo
UonpaBH H )MeJIO nOllpeAeHH npHMepH [OJUlMa qaCT OT npHMepHTe ca pemeHH a OCTaHamrre ca
llaAeHH C TeXH1ITe OTrOBopH Maoro Jl06po BrreqaTJTeHHe npaaH rpacpHlHOTO HJllOCTpHPaBe aa
1l0IDJTHJlTa H pememurra KaKTO B cneqHamnrre naparpa4m aa KpaJI aa BCBKa rnaBa B KOHTO ce
IIpaBH KpaTLK 0630p Ha MaTepHaJIa H ce )laBaT 06mu 3alallH 3a 3aTBLp)l(l(aBaae aa B3YQemur
MaTepBan BCHIKO TOBa JIaBa Bl3MOJKHOCT oa yqe6aoTo noc06He Jla 6olle ycrreIIIHo R3nOJl3BaHO
OT c1)neHTIITe B 3a CaMOCTOJITeJIHa nOllTOTOBKa IIO CbOTBeTHHTe zumOBe OT MaTeMaTHKaT3
TPeTOTO rroc06Be e c elHHCTBeo aBTOP K LBDlJIHeBa H e B eneKTpOHea BapHaHT To e
oltpopMeHo KaTO nOMOIllHO cpeJlCTBO 3a yrrproKHeHDJITa no MaTeMaTHKa 1 3a cT)neBTIlTe OT cnen
KOMlIJOTLPHH HaKH IIollToTBeHo e aa 8HTJlHHCKH elHK nopanH eCTeCTBOTO aa 06yqeHHe Ha
CTylleBTIlTe OT CLOTBeTHaTa cnequarrH CT B TOsa noco6He yMeJIO ca 03n0Jl3BaHH CbBpeMeRmrre
Bh3M02KHOCTH aa KOMIIIltgtTDpHHTe CO(1)ryepB BcJIYIKlI TeMll ca rpaIPHq]JO RJIJOCTpHpaHH KoeTO JlaBa
Bb3MOJKHOCT H 3a BH3yaJIHOTO Bb3npoeMaBe H paJ6BpaBe OT CTpaHa aa cryneHTliTe Oc06eHO
JIo6po BnelaTneHHe MIl HanpaBH H3nOiKeHHeTO B mrpepeHI(HaJIHOTO CMJIT8Be B rrO-TOrIHO npH
H3CJIel(BaaeTO aa 4gt~ CLqeTaBaHeTO aa TeOpeTIPIHlITe YMeHWI C rpaIPlIIHHTe mnoCTpaIJHR
onpelleneHO e rOJUlMa 110MOm aa CT)IeHTHTe
DonoJIHHTeITRO 6mc oroeJl$I3aJIa Ie ny6Jll1KaJIIHTe ua KaHllBJIaTIltaTa no MeTO)lBKa aa
MaTeMaTRKaTa (peneH3HpaHH no-rope) JlOnbJllIlITelIHO nOKa3BaT He CaMO npaJlt1HIeCKHTe H YMeHIDl
KaTO DpenOllaBaTerr HO 0 lJDJT601GITe H TeOpeJR1IHH rr03HaHIDI
OCBeH TOBa CPaKTLT qe KaBJlll)laTKaTa pa60TK RaTO aCHCTeHT Beqe 22 rolBHK npe3 ROlITO
e BOlHJla He caMO ynpa)KHemur HO e lena H nelltIIDl 6e3crropHO rOBOpo 3a aeiiHHTe yTBbpneHH
rr03BI(HH KaTO IIpenOJIaBaTen B 3a rreJIarOrHleCKHTe H YMeHIDl
5 OCBOBRD H3Y1HH H H3Y1HO-OpHJJOiKBB npUHOCH
me oroene)Ka Ie B T 3 npo OnHCaBReTO Ha aayqaaTa npollyKIlIDI Ha KaH1HnaTKaTa C1M
nana H JIeTaHlIHO MHeHHe 3a aeitmrre npHHOCH TYK HaKpaTKO CaMO me o606IIJ)J 1Je KaFIl(HIaTKaTa
HMa 3HaqaTeJIHB
ItaylllU npullocu B 06nacTTa Ha 1H~epeHllBanmrre ypaBHemur CBLP3amJ C IDyT-TaBaBeTO Ha
HJlKOH KalJeCT8eHH CBOHCTBa aa pemeHH$IT8 1m KaTO ce mCrrelBaT Pa3HOTHITHH
IHIPepeHlUfaJIBlil ypaBBemur
HaylHo-npWLO~lIU npuHocu
lo H3nelJBamI ca MOlleJIR OT nonyrramlOIIRaTa )UlHaMHKa ( B)l( AI Ii1 E3) gt H3yqeHa e IlI1IaMHKaTa aa 3aTBOpa Ha xBJqJaBJIHIeH npellla3HO BD3BpaTea KJIaIIaH
(IDK MOHorpa~IDI AI pa60Ta E2) )000 B o6naCTTa aa MeTOlHKaTa H3CrrelJBaH1I ca oco6eHocTIITe Ra 06yqeEmeTo no
MareMaTRKaTa 3a cry)leHTHTe-qyraquolt)leHIllf IPopMlITe H MeTOIHTe aa rrpenoJlaBaRe (BlK rl r2 U2 [(4) lncnellBaHlf ca rrOHSI II1HARTe CTpYKTYPR Ha reoMeTpJPmH nOlumUJ B
LJbJITOcpo1JHaTa llaMeT (r2) IDyqaBa ce npexoJlBIDl nepHO)l YliHJIRlIle -yaHBepClITeT
5
KaTO ca nOCOIeB1l H MepKH 3a npeOl01IJ[8aHe Ba TPYllHocnrre II rrp06JIeMJITe B T031I nepHOl
B)K fS) npWZOJICIIU npullocu pa3pa60TeBH ca KOHKpeTIDl TeME 3a 06yqeHHeTO DO MaTeMaTHKa aa
cT)JleHTIITe-qy1K)leHllH (B)I pa60TIl f4 II ll)
6 3HalfHMoCT Ha pRUOeHTe na uayxaTa D npaKTHKaTa
HaymlITe PeJYJITaTII JTonyqeRB OT KaImBnaTKaTa Tn ac l-P K )(ATII1IHeBa HMaT rOJIJlMo
3SaIeJrne 3a Pa3BHTHeTO Ha nBe OCBOBHH 06rracTH B MaTeMaTHKaTa - llHcpepeHI(IIamnITe ypaBHeHIDl
II MeTOIJHKaTa 3a TOBa rOBoplI lOIThITAIITeJIBO H OT3B)KbT Ba Te3B pe3YIITaTII B Me)Kll)HapOZHaTa
MaTeMaTIAeCKa 06maOCT H3pa3eHO Ipe3 TJIXHOTO QJITHpme KllIIJlImaTKaTa e npe1lCTaBHJIa
CDHCbK c ulITHPaBIDITa CbrJIaCRO KoiiTO lIcimI pe3YJITaTB OT 9 BayqmJ TpYJla ca ~ampamr o6mo
19 IThTB (6e3 aBTOmrram) Or TJIX 17 ca B CneIlHaJDI3BpaHH MegtpoundmYBapOllHB BayqmI ClIBCaRBJI
CpeJl MaTeMaTHQ1lTe 3a6eilll3amI II I3D01I3BaJm pe3YJITarn Ba K )(mnmeBa ca Be CaMO 6brrrapH
HO B Me)KIl)HapoJlHH MaTeMaTIlIJH uy6IIHK)BaJIH B Nonlinear Analysis Real World Applications CDHCaHRe ROCTO OMa KMDaKT cjgtaKTOP 2138 R ce Hape)l)Ja I3Me)l(l1) Dbprune 10 CITHcamuI no
MaTeMaTHKa B CBeTa CRJIHO BIleqaTJIeHHe npaJUlT I(IITIlpaBIDITa sa MOHorpaqnUITa KOflO e
ny6JUIKYBaBa npellll nO-MaJIKO OT rO)lHBa HO Beqe e 3a6eJUJ3aa8 II R3D0Jl3BaBa OT
MareMamqeCKaTa 06maOCT
OCBeH TOBS rn ac n-p Kant )(HlTIJIKeBa lIMa h-HH(eKC e 4 (CbrrraCHO Google scholar) a gshy
llH)leKC e 4 KOeTO Jlomnmrremo DOKa3Ba 3Ba1JlIMOCrra Ha pe3JITanrre H
C Ofnen OQeIDIBaBe KOJUJ1JeCTBemrre nOKa3aTemr Ha KpHTepmne 3a 3aeMaHe sa
aKaeMIlIBaTa rolMIltHOCT Jlo~eHT H 3a no-roJTIlMa rrperrre1UlOCT CbM Hanprumrra CpaBHemte
Me)lOl) MHlIHMarrHHTe lI3HCKBamIJI KbM npaBHJlHHKa 3a ycrroBrurra H pena 3a 3aeMaHe Ha
axaIleMlfIHB JlJIbgtKHOCTH B TY-COltPWI B CrrelBaTa Ta6mma
Ibm H1HcKBalUlJr npeliCTaBeHB 3a
peqeHlHpaBe
MOHorpaltpmr 1 1
06m 6pOH HaYJIDI TPynoBe 5 21
- B Tq 6pOB CTaTHH B peIleH3HpaHH CDDC81UUI 3 13
-8 VI 6pOD CaMOCTOJlTeJIHH rpynoBe 2 6
-B TI B crmcaHIDI C HMTIaKT ltp8KTOP 0 1
YIe6HH noc06IDl 1 3 (ertHo e 0 arraBB)
BOleHR B TY neKllllH rrpe3 Docneronrre 3 ro)lUHH 30 Iaca 90 Iaca
Spoil IUITHPaHIDI 3 19
-B Ti 6pOH B 1JYgtK6BHa 1 17 (ertHo e C Hltfraquo r------
YqaCTHe B Ha)IHOH3CJ1enoBaTerrcKH rrpoeKTB 2 2
6
OT rOpHaTa Ta611HIla ce BIDKla qe C npel(CTaBeBBTe 3a peIleB3HpaHe l(oKMeHTIl mac U-P
KaTJI JlHIIlJIHeBa He CaMO rrOKpHBa MmlHMarrmrre IDJfCKBaBIDI aa IIpaBB1IIIHKa Ha TY-COcpIDI 3a
3aeMaHe aa axaneMlflIlIaTa 2l1lbgtKHOCT llOIleHT HO H 3H81HTeJIlIO rn HazurnmaBa
7 KPBTHIBB 3a6eJ1e~KH H npeOOpLKH
Ilpu TlO)lIOTOBKaTa sa UOK)MeHTIITe 3a KOHKypca lIMa IDIKOH HeTOllHOCTII KORTO o6aQe He
HaMaJUlBaT Ha)1IHaTa HM CTOHuOCT HarrpHMep B CIIHCLKa C IUITHPaHIDl KaKTO H B CIIUCLKa C
rry6JIHKaIJH1f K~aTKaTa HerrpaBmmO e OT6erul3arra TH HMIIaKT cfJaKTOP HanpBMep
CilllCaHIleTO Nonlinear Analysis series B Real World Applications HMa R4gt 3a 2011 r 2138 a Re
KaKTO e oroeIDJ3aHo 2 381 CIIBcaHHeTO lnternatinal Journal aPure and Applied Mathematics Bce
oIlle WlMa 11lt1gt a He KaKTO e oroeIDl3rum Hlt1gt 00229 OCBeH TOBa B 72 OT CIDICLllta aa IUITHJgtaHIDr HerrpaBRlIHO e BaImCaHO HMeTO Ha crmCWllIeTo
8 JIH HH BneqaTJleHBJI
II03HaBaM KaTIl JlHIIImleBa nOBeqe OT 15 rolUlHH 3ano3Hax ce C Reg nepCOHaIIHO Ha
e)Kero~e MeJKIlYllapoumrre MaTeMaTHIeCIltB KOHpepeHIlHH IIO l(Hcpepe~amm
ypaBRcHlLllfnpRJIO)KHS MaTeMaTHKa B ThrOBllHB Tjf BHHanI 6eme emm OT HaB-alITHBHHTe UleHOBe
Ha opr3HH3aIlliOHHWI KOMHTeT oc06eHO npu pernCTpaqIDITa Ha yqacl1Dll(Hre a BCJIKa roruma
HMame IIOHe lTO 200 yqac1HHIIH npe)lHMHo OT qyJK6HBa OIlle TOraBa K LtmnrmeBa Me BIJeqaTJIU
He CaMO CLC CBOHTe YMeHHJI l(a opramI3Rpa H PLKOBOl(H BO H C )lhJl601Qrre CH rr03HaHIDJ B
06naCTTa Ha MaTeMaTHKaTS R C yMeHIDlTa CIf aa npeUCTaBjf p836HpaeMO CBOBTe pe3YJITaTH Tsr BHHarH e 6HJIa 11 e H3KJ1JOtmTeJIHO aKYP8ma TPyUomofiHBa H KOpeKTHa OrrpeneneHO fiHX Ka3ana
tie KaT1l JlmmmeBa e H3rpanen IIpoqeCHOH8JDICT H CLM y6eneaa qe Tjf me npOl(bJl1KaBa lla ce
pa3BHBa H yrBLpJKDaBa KaTO el(HB Me)J(llyHapOUHo npH3HaT MaTeMaTIfllt
3AKJIIOlEHIIE
JloKYMeHTHTe H MaTepRamITe rrpencTaBeHB OT rJI ac ll-P KaTjf (mmmeBa OTrOOapliT U8
H3HCKBaBJIJITa Ha 3aKOHa 3a p83BHJHe Ha axaUeMlAHWl CLCTaB B Peny6JIHKa ELlITapHJI (3PACPE)
ITpaBBJ1R1i[J(8 3a DpHJ1aIaRe Ha 3PACPE H CLOTBeTHlUI IIpaBH1IBKK Ha TY-CoqUjf
KaH]lHllaTKaTa B KOHKYpca e rrpeUCTaBHJTa laaIHTeJleH 6poii HayqHH TpYUOBe KOHTO He ca
H3IIOn3BaHH B nucepTanHOHHHjf Tprn 3a npHnOfiUBaHe Ha OHC bullllOKTOp B pa60THTe Ha
KaaJlInaTKaTa BMa OpBTBHaJIHH nayqHH H nayqao-rrpmlOgtKHH npHHOCH KORTO ca IIOrrytlRllH
MeJKllYHapOUHO IIpH3Ha1Dle KaTO npeu-cTaBHTeJIHa qaCT OT Tfi ca rryfiJlllI()BaHH B CIIHCami1I If
Hayqml cfioplJHl(H H3naneHH OT Me)Kl()HaponIDI aKaUeMUqHlf B3llaTenCTBa Teopemqmrre H
p83pa6oTKH raquoMaT npaJCI1J1leCKa rrpHnOJKHMOCT KaTO qaCT OT Tfi ea ITpjJ](O OpHeHTIlpaHU ICbM
yqe6HaTa pafioTIl HayqHaTa H nperrOllaBaTeJlCKaTa KBaJ1BqHKaIlHK Ha f1l ac ll-P KaTSI ~eBa
e OeCLMHeaa IIocmrnaTHTe OT rn ac ll-P KaTjf AmnnueBa pe3ymam B )lie6Harn H HayqBOshy
H3crrenOBaTeJJCKaTa llemOCT 0811LJ1lIO CLOTBeTCTBaT Ha cnelBpJFnIHTe H3HCKBaHIDr B
TIpamumHKa na TY-COltpIDI 3a rrpHJTOlKeBlle na 3PACPE
7
CJIen 3arr03HaBaHe c npenCTaBeHHTe B KOHKYPCa MaTepHarIH H Hayqmr TPYllOBe aHaJIH3 Ha
TJlXHaTa 3Ha1JHMOCT H CLll1gtP)KaJlR ce B TJIX HayqHH aayrmo-rrpWlolKHH H npHlJO)[(HH ITpHHOCH
YEEL(EHO llaBaM CBOjlTa nOJTOjKJflEJIHA OneHKa H npenOpL-maM Ha HayqaoTO raquoeypH na
H3rOTBH llOI(Jlaz(-rrpellJlOlKeHHe no ltbC Ha ltbaxyJITeT no nprurO)J(Ha MaTeMaTHIlta H HHqopMaTHKa
npH eXHHIeCKJ ymmepCHTeT-ColtgtHJ1 3a H360p Ha rn ac n-p KaTJl reopmeBa nmmmeBa Ha
aK3neMH1maT8 nJIL)KBOCT bullnOllen B TY-COltgtIDI no npocpeCHOBaJIHO HarrpaBJIeIfHe 4 IJpupOO1U
HayKU MameMamUKa U uHtP0pMamuKa HayqBa cnellHWlHOCT 45 MamelHamU1(a
ClucentepefllfUaJlIlU ypa6HeHUR)
25042012r PeuemeHT
(npoIP llMH CHeJKaHa XpHCTOBa)
8
npOZJ06HBaHe Da ORC )OKTOP Te ca B TIICDa SpL3Ka c np06JIeMaTHKaTa Ha KOHKYPca H
nOllJ1egtKaT Da peneH3BpaJIe
3 06m3 xapalCTepKCTHKa Da naYlHo-H3CJ1elloBaTeJlcK8T3 H H8yqHOshy
HpBJlOlla lleiiooCT H3 KaHJHll3T3
fIpellJ1oJKemt ca 3a peneB3Hpaae 21 DayUlli CTaTHH Komo ca8IlBe OCHOBRB HarrprumeHIDlshy
noligtepeHIBaJIHH yprumcHIDI (13 rry6JIHKamm) H MeTO)J1lKa sa o6~eHHeTO rro MaTeMaTHKa (8
ny6Jl11K~) OTDlX 5 ca pe310MeTa B c60PIIHQlI Da MeacayuapOZJHH KOHlaquopepeunIDI fOJUlMatJaCT
OT HaylliHTe CTaTRH oc06eDo Te3B B 06nacTIa Ha IlHlaquoPepelIIlHaJIBBTe ypaBHeHIDl ca Da aRfJmBCKH
e3l1K If ca ny6rrmcyB8HlI B npeCTIDKHH MegtKll)RapOAmr crmcaHlUf 1ltaTO Nonlinear Analysis series B Real World Applications (HMIIaKT ltpaKTOP 2138) International Journal ofDifferential Equations and Applications Communications of Applied Analysis OceM OT npellCTaBemrre CTamB ca
CaMOCTOJlTeJIBlJ KOeTO llOITbJlHlITeJ1ll0 IlOKa3Ba tie KaHlJHlJaTKaTa HMR rOmIM RayqeH nOTeHlIBaJI B
Bb3MOIKHOCTB 3a CaMOCTOJITeJIHO lDCJleIlBaae B 06nacTTa Da MaTeMaTHKaTa Il(e oT6enelKa lfe
npeuCTaaeHBTe pa60TB 06XBaIQaT emm cpaBHHTeJIHO r(bJlbr nepHOn OT IlOBelfe OT 20 TOllHHH
TOBa roBOP 3a npOr(bJDKDTeJIHaTa neDpelCbcHaTa II DJIO)lOTBOpna RayqBa neHBocT Ra
KaHllHnaTKaTa IlpaB8 Il06po BDeqaTJIeRBe 11IBp0KIDIT 06xaaT B Pa3DOCTpaumurr xapaKTep Ha
H3CrrellBaJIHTe OT KaHnHZJaTKaTa rrp06neMH Heibnrre IDcnellB8HHJl BKJIlOIBaT KaKTO n1gtJl60KH
TeopeTWIHH pe3yJITam TaKa n MeTOnwIeCKB B3cnellB3HIDI oc06eHo rrOJIe3HH upu pa60TaTa CbC
cT)neHTHTe H ca TIlCRO CBLP3aH1I C npoligtecHODaJIHOTO B lDpaCTBaHe If H3IpagtKnaae KaTO epYDRpan
B CTOHHOCTeB nperronaBaTeJI B ymmepCHTeT
me Hanpawl KpaThK 0630p Da Hayqmrre H3cnelJBaRIDI Da KaHlUIlaTKaTa KORTO me PaJneJlll
Ha cneMflITe l(Be 06naCTB
AI HCJle()lIanUJI II o6nacmma na ()utjJepenuuartHume ypatfHellUR- OT rrpenCTaBemrre
MaTepHaJllJ KaKTO H nOKTOpCKaTa mcepTauwJ onpeneneHO JIHtJR Ie sa~e
BHTepeCH Ha rn ac Il-P K Laurrmesa s rrocJIenmrre ronmm ca HMeHBO B Ta3H 06nacT
Tg e npoBena pezUIIa TeOpeTIflIHH lf3CrrelJBaHlUI B 06rraCTTa Ha lUfqepeHlJHaJIHHTe
yprumeBIDI H e nonytmJIa cbllJeCTBellll KaIeCTBeHlI pe3YJITarn 3a pememtllTa sa
113CnelJBamITe ypaBSeHBJI me DaJTpaBJI no-nOllp06eH upernell aa Te3H pe3YJITarn KaTO
me IB 06e~ 8 IDIIltOJIKO rpyrm
1 HepeKbcnama 3a6UCIIMOCm - K rmwmeBa e BanpaBHIla 3aznJI6oIeRO II
rumOCTHO R3CneIlBaJIe Da HerrpeKbCHBTaTB 3aBHClIMOCT H JHcpepeHQHpyeMocT Ha
pememurra Ra pa3JIH1JHH TmIOBe llHcpepemlllaJIllH ypaaHeHIDl
B pa60Ta )1 ca pa3rnellaHB Hemmemm HeaBTOBOMHH mcpepemummrn ypaBseIIJUI
aa KORTO MCRaTa CTpaHa e rrOZJJIOlKeHa Da CMYmeHIDI B H3MepBMO speMeBu
nOnMBOlKecTBO Da orprumqeHIDl neligtHliHIlHORen HHTepB3Jl OT BpeMe
B pa60Ta 62 IrLK ce H3CJIelJBaT llHltpepeHIJHarrHH ypasHeHWI Komo HMaT KaKTO
npOMeBJIHBa CTp)KT)Pa TaKB II RMII)nCH Pa3rrrenaBlf ca ypaaHeHIDl Dpe KORTO
MOMeSTIITe BB rrpeBKJUOBaHe CLBDanaT C MOMelITHTe B KORTO IpaeKTopuTa sa
pemeBHeTO BHyrmpa rrpellBapmeJIHo 3ananeHa qYHKIJHJJ Ih~eBo e BlIIDlHHeTO HB
npeBKJII01BaIIlHTe Qgt)HKIllIH BLPxy pemeswrra
2
2 TllaoKocm na peUlellURma - B pa60Ta E3 KaHlUI]lanltaTa e H3crrezrearra rrrallKOCTIa
Ra pemeHruITa Ha AHltpepe~HaIJHH ypaBHeHIDI C BMIl)rrcB BLB ltjgtHKCHPaHB MOMeRTII
OT BpeMe P33rJIe)lan e CJl)WI Ha orpaIIHqeH BpeMeBH mITepBaJI Oco6eHo
BrreIJaTrreHHe MB HCmpaBH ltjgtrucra Ie T33lf pa60Ta e CaMOCTowreJIlfa Ii e rry6J1l1K)BaHa
upe3 2011 B rrpeCTFOlltHOTO CTrnCaRHe Nonlinear Analysis series B Real World Applications C BRCOK 3a MaTeM3THKaTa HMIIaKT IPaKTop (2138) TOBa ome Be)UIb1K
onpeneJJeHO nOK33Ba 3HaIJRMOCTTa oa nOII)IeHIDl OT KawnmaTKaTa pe3ynTaT
3 YcmoulIutlocm - KaJflH)aTKam e [IonylJIDla nOCTaTh1ffiH ycnoBIDI 3a YCTOitIHBOCT
paDHOMepHa YCTOHIJHBOCT H acHMnTOTIflieCKa YCTOHIJJIBOCTHa ayneBoTo pemeHBe Ha
aeJIllHeIiHH IUlIilepeHIUlaJIFIIl ypaBHeHHJI C npOMeBJmBa CTJgtYKTYPa H HMnyrrCH
OCHOBHIDIT H3nOJl3BaH MeTO] e BTOpIDl MeTOll aa JImyHOB KaTO YMeno e BbBe)leHa K
npKJIO)KeHa [I0MOlI(Ha pellBna OT IPymaum aa JUmyHoB
4 MOOeJlUpaHe 6 nonyJlal(UOnHama OUHlIJfUKa - K )lmnJIBeBa e p33rrrenana
KDaCHIeCKlUI MOllerr aa JIOTK3-BoJITepa 3a KOitTO e H3cnezrearra op6marrHaTa
rpaBHTaIlWi I-bYtHJIa e Ii YCTOWnmoClTIl Ha pemeHIDITa Ha MOlleJJa KaTO e
mnOJf3BaHa CneUHaJlHO BbBelleHa MeTpHKa (B)I E4)
5 Ypa6HeHue Ha KllauH-TopOOH - B pa60Ta E6 ce C1gtlJeTaBaT IilleHTe aa
JlHpepeBIUlaJIHlITe ypasHeBIDI C Teoprurra na sepoKfBoCTBTe HaMepea8 e
nOllXO)J)llIa BepOHTHOCrna IIJIl)THOCT KaTO e nocIpoeHo H nOllXo)lJIIIlo eBorrronBOHHO
ypaBRemre KOeTO JlelPuHHpa IP)lIKIlHBTIl Ha pcnnpellerreHHe
fn ac l-P K UHIIIJmeBa yqacTBa B KOHKYPca H c elBa MOHorpaltjgtIDl Specific Asymptotic Properties of the Solutions of Impulsive Differential Equations Methods and Applications CLC
C1gtaBTOPH A [tHIIIJIHeB H CB HeHoB MOHOrpaltpIDITa e ny6JIHKyBaBa IIpe3 2012r CLllLp)(a 291 CTp H e IIOCBeTeHa Ha Teopnwra aa BMIIyncRJI )lDqepeHnHaIImI ypaBReHIDl MOHorpaqHwra e
c1pYKTYPupaaa B 8 masH B e aa aIJrJmHCICB e3mc Koero jI npasH llOCThIIBa llO Me~apO)lBaTa
MaTeMaTHIJeCKa 06mBOCT IT(e oroene)K3 qe B o6JIacTIa aa KMnyJICBlITe llBltpepeHllIaJIHH
ypaBHeHIDI JlOcera HMa ny6JIKKYB3HH OKono 20 MOHorpaltjgtmr 3a pa3llHKa OT OCTIlRamrre KBBIH B
T33H MOHorpatiJIDI ce aKneHTHpa aa WlKOH cneUHamm KalieCTBeHH CBOHCTBa Ha pemeInlJITa B Heg
ca cb6pamr OCHOBHO H3cnezreamurra Ha aBTOpHTe KaTO rOllilMa laCT OT pe3ymanne ca
B3aHMCTBaHH OT mrCepTaJJHJJTa Ha m ac Jl-P K UHlIIJllieBa KaKTO H OT HeitHB CTanm yrIacTBamH
B KOHKypca B MOHorpatiJIDITa e HaITpaBeHO rvmOCTHO H3crrelBaHe aa HerrpenCHaTaTa 3aDHCBMOCT
Ba pemeHIDITa aa HemmeMH HMTI)ncHH IlHtPepeHnHaJIHH ypaBHeHHlI PcnrrreJlaHB ca lltaKTO
cnyqrur aa npelBapHTeJIHo 3aLl3leHH ltjgtmcCHPaHH MOMeHTH (rJIasa 1 11 2) TaKa H crrylaJI KoraTO
KMIIYJIcHTe ce OC1gtmeCTBJIBaT BLPxy XHIlepnOBopXHlmH (maDa 3 4 H 8) UaneHH ca YCJIOBlIJl 3a
OTCbCTBBe aa TH SlBJIeHKe 6Hene KoeTO oKcnBa 3BaIJHTeJIHO BJIRJlHHe BLPxy CLDleCTBYBaBeTO
aa pemeHlIeTO B C11)I3Jl aa HMnynca B1gtPxy TH 6apHepHH KlulBB (rnaBa 4) ce BLBe)(lla
nOHJJTHeTO HenpeK1iCHaTa 3asUCBMOCT no OTBOmeIDfe Ha Te3lf 6apBepHB KpHBli H ca IIolTyrIeHH
llOCTan~ YCJIOBIDI B IIOCJIe)lBaTa rnaBa ca H3nO)KeHH pe3yrrram 3a HenpenCHaTa 3aBBCHMOCT
aa pemeHllJlTa aa ypaBHeHIDl KORTO aT e)lBa c1paBa BMaT npOMeHmma cTPYKTYPa a OT llpyra ca
no~nmKeHB Ha HMIIyJICRB c~eHIDI B npOMeHJIBBH MOMeBTB (Be maBH ca nOCBeTeHH sa
H3n0Jl3BaHeTO aa nollXoIVllIlO 1D6pana XaYCJlOPIPOBa MeTpHKa 3a aBTOHOMllH HMIIYnCElH
JlHtiJepeHDHaJIHH ypaBHeHIDl B CJI)lWl KoraTO HMD)JICHTe ce OCbmeCTIUlBaT BLPXY TO HMIIYrrCHO
MHO)KeCTBO pa3nOJlO)KeHO BLB IPaJOBOTO npoCTpaHCTBO aa ypaBHeHHBTa npaBR BrrelJaTJIeHHe lie
3
pe3ym3nrre B rJIaBa 2 ce OCHOBaBaT H3 paooTa E3 a pe3ynTam OT CTaTImTe E1 H E4 ca
BKJUOIeHH B rJIaBH 1 2 6
KaHZUIlIaTKaI3 e npeJ(cTaBHJIa H 5 pe3IOMeTa H3 J(0K1IanH Ha Me~apOJ(HH
KOHqepeHUKB pe3YJIT3THTe ff3 KORTO H3Tne2KllaT HHTepecmr HO Ha TID HJlMa J(a ce CDHPaM
1l0Pawr mmca R3 no-nOJtPOORa HHlflopMamur
HI HCJletgt6aHUR 8 o6Jlacmma Na wemotgtuKama Ha penotgta(JQHemo Ha MameMamUKamashyrJI ac J(-P K UmmmeB3 e npellCTaBHJIa 8 H3)fHl1 CTanm B Ta3H oonaeT Te3lf CTaTIDI ca
nyoJIHKYBaHH OCBOBRO B rOJ(BLUHHK3 H3 ImCTHTyTa 33 IYgtKllec-rpamm CTYneHTH KaTO 5 OT
TJIX ca CaMOCTowremm OCHOBHHTe npooJleMH H3Cne1lB8RlI B npHJImKeRHTe CTaTHH ca
CBDP3aHH C ocOOeHOCTHTe B 06YQeHHeTO sa CTYJ(eBTBTe-qygtKneHIlH DO MaTeMaTHKa ope3 TH
nonrOTBHTeJIHa rODHHa Pa3meIJaBH ca pa3JmlHB Ie IflOPMlI Ha YCTRH yrrpIDKHeHIDJ (f1)
Ka1ltTO U yMeHHeTona ce mpa3JlBa MaTeM3TH1eCKOTO 3HaHHe B pa3JDfqffil centOPMB (r3) MHoro
J(06po BneQaTJIeHHe oprum H306uJIHeTO OT DOnxONIIIJH rrpHMepH UJOOCTpHPaIIUI
H3CJIeJ(Bamrre upo6JIeMH
Hanpcrneoo e cHCTeMaU13l1paHe Ha rrpooJIeMHTe B qy)K)JOe3HKOBOTO ooyqeHHe no
MaTeMaTIfK3 ()(2 K U3)
B pa60TII r4 H [1 e npe)UIO)l(eHa rpuCTeneHHa MeTOllHIeCKa pa3paooTKa (npOITHJ(eBTHK3
BDBe)KnaHe H 3aTBbpgtKllaBaHe) 3a DBe OT BaH Tpyl(BlITe 3a YCBOJlBaHe TeMH- rpaHUlIa Ha
rPYHKlUU U HenpeKbCHamocm
4 OQeHKa Ha nezarOrB1leCKaT3 DOWOTOBKa H IleUHOCT H3 KaozUIlaT3
He D03SaBaM rlI ac n-p K UH11IlIHeBa mrrmo KaTO npenonaBaTeJI BO ReHBOTO
nenarOrJrIIeCKO yMeHHe MHoro RCBO JIH1llJ OT rrpeJ(cTaBe8llTe y-qefiHH nOMarana KaazumaTKara e
rrpeJ(CTaBmra pH y-qe6HU nocoou 1lBe Ha xapmeR HOCUTerr H eIJHo erreKTpoHHo Ile HanpaBR
KpaThK 0030P aa Te3H IJocoou
EmIOTO OT TJIX YsooeJl KYpc no MameMamuKa MOOYJl 1 e B CbaBTOPCTBO C A PORKOB
CDJlLp)l(a 105 cTp H e H3llalleHO opel 2006 To e npeIJHa3HaQeHO 3a qyxmecTpamnrre cryJ(eHTII OT
TY-COqIDI If BKJ1IltlIBa OCHOBHHTe TeMH HeofixoJ(HM1 KaTO OCHOBa 3a myqaBaHeTo U3
znrltgtepeHIlHaJIHOTO H HHTerparmoTo CMHTaHe TeMHTe KOHTO ce p83rJIegtKllaT ca OCHOBHH
eneMeHTH OT Teopmrra ua MHO)l(eCTBaTa lleHCTBHRT3 C peaJ1HBTe lHClla aepaBeHcTBa 11
ypaBHeHllJI (mmeHmi KBazwaTHH HPaIUlOHaJIHH IIOKa3aTemm noraplITMH1ffiH) BCRKa TeM3
3aJlOtBa C KpaTKO 80 Maoro HHljlopMaTHBHO H3lIOlKeHHe a3 CbOTBeTH1ITe reopeTIPIBlJ pe3YJITaTH H
e rrocneJ(BaHO OT MRO)l(eCTBO UOJlXOIDIlllO H30PaHR ITpHMepH npaBJf J(06po BnelaTrremte H3llfRa
na IIOJ(pe)l(llaHe Ha npHMepHTe OT IIo-neCHH KLM 1l0-TPYIJHH KOeTO KpaCROpeIBBO roBopn 33
rreIJarOIHIeCKOTO yMeHHe Ha aBTOpHTe JhAHo a3 omc npenopDtJarra ll3 ce n06awrr nOBeqe pemeHH
ITpHMepn n BCHlKHTe nplIMepH ll3 ODnaT nOHe C OTIOBOpB TOBa 6H llaJlO Bb3MOJKBOCT 1l0cooueTO
lla ce H3nOJI3Ba ycnenmo He CaMO B tJ3COBere 33 yrrpIDKHeHIDI HO II 33 CaMOCTOfieJ1Ha OOJ(lOTOBKa
aa cTlleHTIITe
)(pyrOTO y-qe6HO nocoone Mathematics I e B CbaBTOPCTBO C K ileeBa cLmp)I(a 109 cTp
H e rry6JIHKYBaHO npe3 2009 To e oarmCaHO Ha aormmcKH e3HK n e opaeRTHpaHo KLM
lYJK)lOe3HKOBOTO 06yqeHUe oa cT)lleHTHTe B TY-COqIDI no KOMmOTIgtPHH HaKH H MexaTpOHHKa
To OOXBama OCHOBHHTe KJIaClPIeCKH TeMH no mmemm arrre6pa KaTO KOMl1lIeKCHB lHCJIa
4
IIOJIHHOMll MaTpHIUl IeTepMJUlaHTII CHCTeMB JIHEIeftmr ypaBHeHIDl ABTopwre ca CH nOCTaBWTU 3a
nerrna npeLVJOJKaT IIocofiHe KOeTO Jla cnOMorne aa cTyleHTBTe He CaMO 3a no-rreCBOTO YCBOKBaBe
Ha MaTepHaJIa no B Cb~OTO BpeMe H 3a 3aznrr6olienoTO H JlOrwIeCKOTO MY pa3finpaae Tam CH nen
Te ca $I IIOCmTBaJIH ycnenmo ICaTO ca H36eraaJIH CJlO)KlIB lOKaJaTeJlCTBa aa MaTeMaTWIeCKH
IPaKTIf a a HafinernaJIH na IIpHJTO)l(eHHeTO aa CD TBennlTe MeT01H H TeXHHKH BLPxy nolXOlVUIlo
UonpaBH H )MeJIO nOllpeAeHH npHMepH [OJUlMa qaCT OT npHMepHTe ca pemeHH a OCTaHamrre ca
llaAeHH C TeXH1ITe OTrOBopH Maoro Jl06po BrreqaTJTeHHe npaaH rpacpHlHOTO HJllOCTpHPaBe aa
1l0IDJTHJlTa H pememurra KaKTO B cneqHamnrre naparpa4m aa KpaJI aa BCBKa rnaBa B KOHTO ce
IIpaBH KpaTLK 0630p Ha MaTepHaJIa H ce )laBaT 06mu 3alallH 3a 3aTBLp)l(l(aBaae aa B3YQemur
MaTepBan BCHIKO TOBa JIaBa Bl3MOJKHOCT oa yqe6aoTo noc06He Jla 6olle ycrreIIIHo R3nOJl3BaHO
OT c1)neHTIITe B 3a CaMOCTOJITeJIHa nOllTOTOBKa IIO CbOTBeTHHTe zumOBe OT MaTeMaTHKaT3
TPeTOTO rroc06Be e c elHHCTBeo aBTOP K LBDlJIHeBa H e B eneKTpOHea BapHaHT To e
oltpopMeHo KaTO nOMOIllHO cpeJlCTBO 3a yrrproKHeHDJITa no MaTeMaTHKa 1 3a cT)neBTIlTe OT cnen
KOMlIJOTLPHH HaKH IIollToTBeHo e aa 8HTJlHHCKH elHK nopanH eCTeCTBOTO aa 06yqeHHe Ha
CTylleBTIlTe OT CLOTBeTHaTa cnequarrH CT B TOsa noco6He yMeJIO ca 03n0Jl3BaHH CbBpeMeRmrre
Bh3M02KHOCTH aa KOMIIIltgtTDpHHTe CO(1)ryepB BcJIYIKlI TeMll ca rpaIPHq]JO RJIJOCTpHpaHH KoeTO JlaBa
Bb3MOJKHOCT H 3a BH3yaJIHOTO Bb3npoeMaBe H paJ6BpaBe OT CTpaHa aa cryneHTliTe Oc06eHO
JIo6po BnelaTneHHe MIl HanpaBH H3nOiKeHHeTO B mrpepeHI(HaJIHOTO CMJIT8Be B rrO-TOrIHO npH
H3CJIel(BaaeTO aa 4gt~ CLqeTaBaHeTO aa TeOpeTIPIHlITe YMeHWI C rpaIPlIIHHTe mnoCTpaIJHR
onpelleneHO e rOJUlMa 110MOm aa CT)IeHTHTe
DonoJIHHTeITRO 6mc oroeJl$I3aJIa Ie ny6Jll1KaJIIHTe ua KaHllBJIaTIltaTa no MeTO)lBKa aa
MaTeMaTRKaTa (peneH3HpaHH no-rope) JlOnbJllIlITelIHO nOKa3BaT He CaMO npaJlt1HIeCKHTe H YMeHIDl
KaTO DpenOllaBaTerr HO 0 lJDJT601GITe H TeOpeJR1IHH rr03HaHIDI
OCBeH TOBa CPaKTLT qe KaBJlll)laTKaTa pa60TK RaTO aCHCTeHT Beqe 22 rolBHK npe3 ROlITO
e BOlHJla He caMO ynpa)KHemur HO e lena H nelltIIDl 6e3crropHO rOBOpo 3a aeiiHHTe yTBbpneHH
rr03BI(HH KaTO IIpenOJIaBaTen B 3a rreJIarOrHleCKHTe H YMeHIDl
5 OCBOBRD H3Y1HH H H3Y1HO-OpHJJOiKBB npUHOCH
me oroene)Ka Ie B T 3 npo OnHCaBReTO Ha aayqaaTa npollyKIlIDI Ha KaH1HnaTKaTa C1M
nana H JIeTaHlIHO MHeHHe 3a aeitmrre npHHOCH TYK HaKpaTKO CaMO me o606IIJ)J 1Je KaFIl(HIaTKaTa
HMa 3HaqaTeJIHB
ItaylllU npullocu B 06nacTTa Ha 1H~epeHllBanmrre ypaBHemur CBLP3amJ C IDyT-TaBaBeTO Ha
HJlKOH KalJeCT8eHH CBOHCTBa aa pemeHH$IT8 1m KaTO ce mCrrelBaT Pa3HOTHITHH
IHIPepeHlUfaJIBlil ypaBBemur
HaylHo-npWLO~lIU npuHocu
lo H3nelJBamI ca MOlleJIR OT nonyrramlOIIRaTa )UlHaMHKa ( B)l( AI Ii1 E3) gt H3yqeHa e IlI1IaMHKaTa aa 3aTBOpa Ha xBJqJaBJIHIeH npellla3HO BD3BpaTea KJIaIIaH
(IDK MOHorpa~IDI AI pa60Ta E2) )000 B o6naCTTa aa MeTOlHKaTa H3CrrelJBaH1I ca oco6eHocTIITe Ra 06yqeEmeTo no
MareMaTRKaTa 3a cry)leHTHTe-qyraquolt)leHIllf IPopMlITe H MeTOIHTe aa rrpenoJlaBaRe (BlK rl r2 U2 [(4) lncnellBaHlf ca rrOHSI II1HARTe CTpYKTYPR Ha reoMeTpJPmH nOlumUJ B
LJbJITOcpo1JHaTa llaMeT (r2) IDyqaBa ce npexoJlBIDl nepHO)l YliHJIRlIle -yaHBepClITeT
5
KaTO ca nOCOIeB1l H MepKH 3a npeOl01IJ[8aHe Ba TPYllHocnrre II rrp06JIeMJITe B T031I nepHOl
B)K fS) npWZOJICIIU npullocu pa3pa60TeBH ca KOHKpeTIDl TeME 3a 06yqeHHeTO DO MaTeMaTHKa aa
cT)JleHTIITe-qy1K)leHllH (B)I pa60TIl f4 II ll)
6 3HalfHMoCT Ha pRUOeHTe na uayxaTa D npaKTHKaTa
HaymlITe PeJYJITaTII JTonyqeRB OT KaImBnaTKaTa Tn ac l-P K )(ATII1IHeBa HMaT rOJIJlMo
3SaIeJrne 3a Pa3BHTHeTO Ha nBe OCBOBHH 06rracTH B MaTeMaTHKaTa - llHcpepeHI(IIamnITe ypaBHeHIDl
II MeTOIJHKaTa 3a TOBa rOBoplI lOIThITAIITeJIBO H OT3B)KbT Ba Te3B pe3YIITaTII B Me)Kll)HapOZHaTa
MaTeMaTIAeCKa 06maOCT H3pa3eHO Ipe3 TJIXHOTO QJITHpme KllIIJlImaTKaTa e npe1lCTaBHJIa
CDHCbK c ulITHPaBIDITa CbrJIaCRO KoiiTO lIcimI pe3YJITaTB OT 9 BayqmJ TpYJla ca ~ampamr o6mo
19 IThTB (6e3 aBTOmrram) Or TJIX 17 ca B CneIlHaJDI3BpaHH MegtpoundmYBapOllHB BayqmI ClIBCaRBJI
CpeJl MaTeMaTHQ1lTe 3a6eilll3amI II I3D01I3BaJm pe3YJITarn Ba K )(mnmeBa ca Be CaMO 6brrrapH
HO B Me)KIl)HapoJlHH MaTeMaTIlIJH uy6IIHK)BaJIH B Nonlinear Analysis Real World Applications CDHCaHRe ROCTO OMa KMDaKT cjgtaKTOP 2138 R ce Hape)l)Ja I3Me)l(l1) Dbprune 10 CITHcamuI no
MaTeMaTHKa B CBeTa CRJIHO BIleqaTJIeHHe npaJUlT I(IITIlpaBIDITa sa MOHorpaqnUITa KOflO e
ny6JUIKYBaBa npellll nO-MaJIKO OT rO)lHBa HO Beqe e 3a6eJUJ3aa8 II R3D0Jl3BaBa OT
MareMamqeCKaTa 06maOCT
OCBeH TOBS rn ac n-p Kant )(HlTIJIKeBa lIMa h-HH(eKC e 4 (CbrrraCHO Google scholar) a gshy
llH)leKC e 4 KOeTO Jlomnmrremo DOKa3Ba 3Ba1JlIMOCrra Ha pe3JITanrre H
C Ofnen OQeIDIBaBe KOJUJ1JeCTBemrre nOKa3aTemr Ha KpHTepmne 3a 3aeMaHe sa
aKaeMIlIBaTa rolMIltHOCT Jlo~eHT H 3a no-roJTIlMa rrperrre1UlOCT CbM Hanprumrra CpaBHemte
Me)lOl) MHlIHMarrHHTe lI3HCKBamIJI KbM npaBHJlHHKa 3a ycrroBrurra H pena 3a 3aeMaHe Ha
axaIleMlfIHB JlJIbgtKHOCTH B TY-COltPWI B CrrelBaTa Ta6mma
Ibm H1HcKBalUlJr npeliCTaBeHB 3a
peqeHlHpaBe
MOHorpaltpmr 1 1
06m 6pOH HaYJIDI TPynoBe 5 21
- B Tq 6pOB CTaTHH B peIleH3HpaHH CDDC81UUI 3 13
-8 VI 6pOD CaMOCTOJlTeJIHH rpynoBe 2 6
-B TI B crmcaHIDI C HMTIaKT ltp8KTOP 0 1
YIe6HH noc06IDl 1 3 (ertHo e 0 arraBB)
BOleHR B TY neKllllH rrpe3 Docneronrre 3 ro)lUHH 30 Iaca 90 Iaca
Spoil IUITHPaHIDI 3 19
-B Ti 6pOH B 1JYgtK6BHa 1 17 (ertHo e C Hltfraquo r------
YqaCTHe B Ha)IHOH3CJ1enoBaTerrcKH rrpoeKTB 2 2
6
OT rOpHaTa Ta611HIla ce BIDKla qe C npel(CTaBeBBTe 3a peIleB3HpaHe l(oKMeHTIl mac U-P
KaTJI JlHIIlJIHeBa He CaMO rrOKpHBa MmlHMarrmrre IDJfCKBaBIDI aa IIpaBB1IIIHKa Ha TY-COcpIDI 3a
3aeMaHe aa axaneMlflIlIaTa 2l1lbgtKHOCT llOIleHT HO H 3H81HTeJIlIO rn HazurnmaBa
7 KPBTHIBB 3a6eJ1e~KH H npeOOpLKH
Ilpu TlO)lIOTOBKaTa sa UOK)MeHTIITe 3a KOHKypca lIMa IDIKOH HeTOllHOCTII KORTO o6aQe He
HaMaJUlBaT Ha)1IHaTa HM CTOHuOCT HarrpHMep B CIIHCLKa C IUITHPaHIDl KaKTO H B CIIUCLKa C
rry6JIHKaIJH1f K~aTKaTa HerrpaBmmO e OT6erul3arra TH HMIIaKT cfJaKTOP HanpBMep
CilllCaHIleTO Nonlinear Analysis series B Real World Applications HMa R4gt 3a 2011 r 2138 a Re
KaKTO e oroeIDJ3aHo 2 381 CIIBcaHHeTO lnternatinal Journal aPure and Applied Mathematics Bce
oIlle WlMa 11lt1gt a He KaKTO e oroeIDl3rum Hlt1gt 00229 OCBeH TOBa B 72 OT CIDICLllta aa IUITHJgtaHIDr HerrpaBRlIHO e BaImCaHO HMeTO Ha crmCWllIeTo
8 JIH HH BneqaTJleHBJI
II03HaBaM KaTIl JlHIIImleBa nOBeqe OT 15 rolUlHH 3ano3Hax ce C Reg nepCOHaIIHO Ha
e)Kero~e MeJKIlYllapoumrre MaTeMaTHIeCIltB KOHpepeHIlHH IIO l(Hcpepe~amm
ypaBRcHlLllfnpRJIO)KHS MaTeMaTHKa B ThrOBllHB Tjf BHHanI 6eme emm OT HaB-alITHBHHTe UleHOBe
Ha opr3HH3aIlliOHHWI KOMHTeT oc06eHO npu pernCTpaqIDITa Ha yqacl1Dll(Hre a BCJIKa roruma
HMame IIOHe lTO 200 yqac1HHIIH npe)lHMHo OT qyJK6HBa OIlle TOraBa K LtmnrmeBa Me BIJeqaTJIU
He CaMO CLC CBOHTe YMeHHJI l(a opramI3Rpa H PLKOBOl(H BO H C )lhJl601Qrre CH rr03HaHIDJ B
06naCTTa Ha MaTeMaTHKaTS R C yMeHIDlTa CIf aa npeUCTaBjf p836HpaeMO CBOBTe pe3YJITaTH Tsr BHHarH e 6HJIa 11 e H3KJ1JOtmTeJIHO aKYP8ma TPyUomofiHBa H KOpeKTHa OrrpeneneHO fiHX Ka3ana
tie KaT1l JlmmmeBa e H3rpanen IIpoqeCHOH8JDICT H CLM y6eneaa qe Tjf me npOl(bJl1KaBa lla ce
pa3BHBa H yrBLpJKDaBa KaTO el(HB Me)J(llyHapOUHo npH3HaT MaTeMaTIfllt
3AKJIIOlEHIIE
JloKYMeHTHTe H MaTepRamITe rrpencTaBeHB OT rJI ac ll-P KaTjf (mmmeBa OTrOOapliT U8
H3HCKBaBJIJITa Ha 3aKOHa 3a p83BHJHe Ha axaUeMlAHWl CLCTaB B Peny6JIHKa ELlITapHJI (3PACPE)
ITpaBBJ1R1i[J(8 3a DpHJ1aIaRe Ha 3PACPE H CLOTBeTHlUI IIpaBH1IBKK Ha TY-CoqUjf
KaH]lHllaTKaTa B KOHKYpca e rrpeUCTaBHJTa laaIHTeJleH 6poii HayqHH TpYUOBe KOHTO He ca
H3IIOn3BaHH B nucepTanHOHHHjf Tprn 3a npHnOfiUBaHe Ha OHC bullllOKTOp B pa60THTe Ha
KaaJlInaTKaTa BMa OpBTBHaJIHH nayqHH H nayqao-rrpmlOgtKHH npHHOCH KORTO ca IIOrrytlRllH
MeJKllYHapOUHO IIpH3Ha1Dle KaTO npeu-cTaBHTeJIHa qaCT OT Tfi ca rryfiJlllI()BaHH B CIIHCami1I If
Hayqml cfioplJHl(H H3naneHH OT Me)Kl()HaponIDI aKaUeMUqHlf B3llaTenCTBa Teopemqmrre H
p83pa6oTKH raquoMaT npaJCI1J1leCKa rrpHnOJKHMOCT KaTO qaCT OT Tfi ea ITpjJ](O OpHeHTIlpaHU ICbM
yqe6HaTa pafioTIl HayqHaTa H nperrOllaBaTeJlCKaTa KBaJ1BqHKaIlHK Ha f1l ac ll-P KaTSI ~eBa
e OeCLMHeaa IIocmrnaTHTe OT rn ac ll-P KaTjf AmnnueBa pe3ymam B )lie6Harn H HayqBOshy
H3crrenOBaTeJJCKaTa llemOCT 0811LJ1lIO CLOTBeTCTBaT Ha cnelBpJFnIHTe H3HCKBaHIDr B
TIpamumHKa na TY-COltpIDI 3a rrpHJTOlKeBlle na 3PACPE
7
CJIen 3arr03HaBaHe c npenCTaBeHHTe B KOHKYPCa MaTepHarIH H Hayqmr TPYllOBe aHaJIH3 Ha
TJlXHaTa 3Ha1JHMOCT H CLll1gtP)KaJlR ce B TJIX HayqHH aayrmo-rrpWlolKHH H npHlJO)[(HH ITpHHOCH
YEEL(EHO llaBaM CBOjlTa nOJTOjKJflEJIHA OneHKa H npenOpL-maM Ha HayqaoTO raquoeypH na
H3rOTBH llOI(Jlaz(-rrpellJlOlKeHHe no ltbC Ha ltbaxyJITeT no nprurO)J(Ha MaTeMaTHIlta H HHqopMaTHKa
npH eXHHIeCKJ ymmepCHTeT-ColtgtHJ1 3a H360p Ha rn ac n-p KaTJl reopmeBa nmmmeBa Ha
aK3neMH1maT8 nJIL)KBOCT bullnOllen B TY-COltgtIDI no npocpeCHOBaJIHO HarrpaBJIeIfHe 4 IJpupOO1U
HayKU MameMamUKa U uHtP0pMamuKa HayqBa cnellHWlHOCT 45 MamelHamU1(a
ClucentepefllfUaJlIlU ypa6HeHUR)
25042012r PeuemeHT
(npoIP llMH CHeJKaHa XpHCTOBa)
8
2 TllaoKocm na peUlellURma - B pa60Ta E3 KaHlUI]lanltaTa e H3crrezrearra rrrallKOCTIa
Ra pemeHruITa Ha AHltpepe~HaIJHH ypaBHeHIDI C BMIl)rrcB BLB ltjgtHKCHPaHB MOMeRTII
OT BpeMe P33rJIe)lan e CJl)WI Ha orpaIIHqeH BpeMeBH mITepBaJI Oco6eHo
BrreIJaTrreHHe MB HCmpaBH ltjgtrucra Ie T33lf pa60Ta e CaMOCTowreJIlfa Ii e rry6J1l1K)BaHa
upe3 2011 B rrpeCTFOlltHOTO CTrnCaRHe Nonlinear Analysis series B Real World Applications C BRCOK 3a MaTeM3THKaTa HMIIaKT IPaKTop (2138) TOBa ome Be)UIb1K
onpeneJJeHO nOK33Ba 3HaIJRMOCTTa oa nOII)IeHIDl OT KawnmaTKaTa pe3ynTaT
3 YcmoulIutlocm - KaJflH)aTKam e [IonylJIDla nOCTaTh1ffiH ycnoBIDI 3a YCTOitIHBOCT
paDHOMepHa YCTOHIJHBOCT H acHMnTOTIflieCKa YCTOHIJJIBOCTHa ayneBoTo pemeHBe Ha
aeJIllHeIiHH IUlIilepeHIUlaJIFIIl ypaBHeHHJI C npOMeBJmBa CTJgtYKTYPa H HMnyrrCH
OCHOBHIDIT H3nOJl3BaH MeTO] e BTOpIDl MeTOll aa JImyHOB KaTO YMeno e BbBe)leHa K
npKJIO)KeHa [I0MOlI(Ha pellBna OT IPymaum aa JUmyHoB
4 MOOeJlUpaHe 6 nonyJlal(UOnHama OUHlIJfUKa - K )lmnJIBeBa e p33rrrenana
KDaCHIeCKlUI MOllerr aa JIOTK3-BoJITepa 3a KOitTO e H3cnezrearra op6marrHaTa
rpaBHTaIlWi I-bYtHJIa e Ii YCTOWnmoClTIl Ha pemeHIDITa Ha MOlleJJa KaTO e
mnOJf3BaHa CneUHaJlHO BbBelleHa MeTpHKa (B)I E4)
5 Ypa6HeHue Ha KllauH-TopOOH - B pa60Ta E6 ce C1gtlJeTaBaT IilleHTe aa
JlHpepeBIUlaJIHlITe ypasHeBIDI C Teoprurra na sepoKfBoCTBTe HaMepea8 e
nOllXO)J)llIa BepOHTHOCrna IIJIl)THOCT KaTO e nocIpoeHo H nOllXo)lJIIIlo eBorrronBOHHO
ypaBRemre KOeTO JlelPuHHpa IP)lIKIlHBTIl Ha pcnnpellerreHHe
fn ac l-P K UHIIIJmeBa yqacTBa B KOHKYPca H c elBa MOHorpaltjgtIDl Specific Asymptotic Properties of the Solutions of Impulsive Differential Equations Methods and Applications CLC
C1gtaBTOPH A [tHIIIJIHeB H CB HeHoB MOHOrpaltpIDITa e ny6JIHKyBaBa IIpe3 2012r CLllLp)(a 291 CTp H e IIOCBeTeHa Ha Teopnwra aa BMIIyncRJI )lDqepeHnHaIImI ypaBReHIDl MOHorpaqHwra e
c1pYKTYPupaaa B 8 masH B e aa aIJrJmHCICB e3mc Koero jI npasH llOCThIIBa llO Me~apO)lBaTa
MaTeMaTHIJeCKa 06mBOCT IT(e oroene)K3 qe B o6JIacTIa aa KMnyJICBlITe llBltpepeHllIaJIHH
ypaBHeHIDI JlOcera HMa ny6JIKKYB3HH OKono 20 MOHorpaltjgtmr 3a pa3llHKa OT OCTIlRamrre KBBIH B
T33H MOHorpatiJIDI ce aKneHTHpa aa WlKOH cneUHamm KalieCTBeHH CBOHCTBa Ha pemeInlJITa B Heg
ca cb6pamr OCHOBHO H3cnezreamurra Ha aBTOpHTe KaTO rOllilMa laCT OT pe3ymanne ca
B3aHMCTBaHH OT mrCepTaJJHJJTa Ha m ac Jl-P K UHlIIJllieBa KaKTO H OT HeitHB CTanm yrIacTBamH
B KOHKypca B MOHorpatiJIDITa e HaITpaBeHO rvmOCTHO H3crrelBaHe aa HerrpenCHaTaTa 3aDHCBMOCT
Ba pemeHIDITa aa HemmeMH HMTI)ncHH IlHtPepeHnHaJIHH ypaBHeHHlI PcnrrreJlaHB ca lltaKTO
cnyqrur aa npelBapHTeJIHo 3aLl3leHH ltjgtmcCHPaHH MOMeHTH (rJIasa 1 11 2) TaKa H crrylaJI KoraTO
KMIIYJIcHTe ce OC1gtmeCTBJIBaT BLPxy XHIlepnOBopXHlmH (maDa 3 4 H 8) UaneHH ca YCJIOBlIJl 3a
OTCbCTBBe aa TH SlBJIeHKe 6Hene KoeTO oKcnBa 3BaIJHTeJIHO BJIRJlHHe BLPxy CLDleCTBYBaBeTO
aa pemeHlIeTO B C11)I3Jl aa HMnynca B1gtPxy TH 6apHepHH KlulBB (rnaBa 4) ce BLBe)(lla
nOHJJTHeTO HenpeK1iCHaTa 3asUCBMOCT no OTBOmeIDfe Ha Te3lf 6apBepHB KpHBli H ca IIolTyrIeHH
llOCTan~ YCJIOBIDI B IIOCJIe)lBaTa rnaBa ca H3nO)KeHH pe3yrrram 3a HenpenCHaTa 3aBBCHMOCT
aa pemeHllJlTa aa ypaBHeHIDl KORTO aT e)lBa c1paBa BMaT npOMeHmma cTPYKTYPa a OT llpyra ca
no~nmKeHB Ha HMIIyJICRB c~eHIDI B npOMeHJIBBH MOMeBTB (Be maBH ca nOCBeTeHH sa
H3n0Jl3BaHeTO aa nollXoIVllIlO 1D6pana XaYCJlOPIPOBa MeTpHKa 3a aBTOHOMllH HMIIYnCElH
JlHtiJepeHDHaJIHH ypaBHeHIDl B CJI)lWl KoraTO HMD)JICHTe ce OCbmeCTIUlBaT BLPXY TO HMIIYrrCHO
MHO)KeCTBO pa3nOJlO)KeHO BLB IPaJOBOTO npoCTpaHCTBO aa ypaBHeHHBTa npaBR BrrelJaTJIeHHe lie
3
pe3ym3nrre B rJIaBa 2 ce OCHOBaBaT H3 paooTa E3 a pe3ynTam OT CTaTImTe E1 H E4 ca
BKJUOIeHH B rJIaBH 1 2 6
KaHZUIlIaTKaI3 e npeJ(cTaBHJIa H 5 pe3IOMeTa H3 J(0K1IanH Ha Me~apOJ(HH
KOHqepeHUKB pe3YJIT3THTe ff3 KORTO H3Tne2KllaT HHTepecmr HO Ha TID HJlMa J(a ce CDHPaM
1l0Pawr mmca R3 no-nOJtPOORa HHlflopMamur
HI HCJletgt6aHUR 8 o6Jlacmma Na wemotgtuKama Ha penotgta(JQHemo Ha MameMamUKamashyrJI ac J(-P K UmmmeB3 e npellCTaBHJIa 8 H3)fHl1 CTanm B Ta3H oonaeT Te3lf CTaTIDI ca
nyoJIHKYBaHH OCBOBRO B rOJ(BLUHHK3 H3 ImCTHTyTa 33 IYgtKllec-rpamm CTYneHTH KaTO 5 OT
TJIX ca CaMOCTowremm OCHOBHHTe npooJleMH H3Cne1lB8RlI B npHJImKeRHTe CTaTHH ca
CBDP3aHH C ocOOeHOCTHTe B 06YQeHHeTO sa CTYJ(eBTBTe-qygtKneHIlH DO MaTeMaTHKa ope3 TH
nonrOTBHTeJIHa rODHHa Pa3meIJaBH ca pa3JmlHB Ie IflOPMlI Ha YCTRH yrrpIDKHeHIDJ (f1)
Ka1ltTO U yMeHHeTona ce mpa3JlBa MaTeM3TH1eCKOTO 3HaHHe B pa3JDfqffil centOPMB (r3) MHoro
J(06po BneQaTJIeHHe oprum H306uJIHeTO OT DOnxONIIIJH rrpHMepH UJOOCTpHPaIIUI
H3CJIeJ(Bamrre upo6JIeMH
Hanpcrneoo e cHCTeMaU13l1paHe Ha rrpooJIeMHTe B qy)K)JOe3HKOBOTO ooyqeHHe no
MaTeMaTIfK3 ()(2 K U3)
B pa60TII r4 H [1 e npe)UIO)l(eHa rpuCTeneHHa MeTOllHIeCKa pa3paooTKa (npOITHJ(eBTHK3
BDBe)KnaHe H 3aTBbpgtKllaBaHe) 3a DBe OT BaH Tpyl(BlITe 3a YCBOJlBaHe TeMH- rpaHUlIa Ha
rPYHKlUU U HenpeKbCHamocm
4 OQeHKa Ha nezarOrB1leCKaT3 DOWOTOBKa H IleUHOCT H3 KaozUIlaT3
He D03SaBaM rlI ac n-p K UH11IlIHeBa mrrmo KaTO npenonaBaTeJI BO ReHBOTO
nenarOrJrIIeCKO yMeHHe MHoro RCBO JIH1llJ OT rrpeJ(cTaBe8llTe y-qefiHH nOMarana KaazumaTKara e
rrpeJ(CTaBmra pH y-qe6HU nocoou 1lBe Ha xapmeR HOCUTerr H eIJHo erreKTpoHHo Ile HanpaBR
KpaThK 0030P aa Te3H IJocoou
EmIOTO OT TJIX YsooeJl KYpc no MameMamuKa MOOYJl 1 e B CbaBTOPCTBO C A PORKOB
CDJlLp)l(a 105 cTp H e H3llalleHO opel 2006 To e npeIJHa3HaQeHO 3a qyxmecTpamnrre cryJ(eHTII OT
TY-COqIDI If BKJ1IltlIBa OCHOBHHTe TeMH HeofixoJ(HM1 KaTO OCHOBa 3a myqaBaHeTo U3
znrltgtepeHIlHaJIHOTO H HHTerparmoTo CMHTaHe TeMHTe KOHTO ce p83rJIegtKllaT ca OCHOBHH
eneMeHTH OT Teopmrra ua MHO)l(eCTBaTa lleHCTBHRT3 C peaJ1HBTe lHClla aepaBeHcTBa 11
ypaBHeHllJI (mmeHmi KBazwaTHH HPaIUlOHaJIHH IIOKa3aTemm noraplITMH1ffiH) BCRKa TeM3
3aJlOtBa C KpaTKO 80 Maoro HHljlopMaTHBHO H3lIOlKeHHe a3 CbOTBeTH1ITe reopeTIPIBlJ pe3YJITaTH H
e rrocneJ(BaHO OT MRO)l(eCTBO UOJlXOIDIlllO H30PaHR ITpHMepH npaBJf J(06po BnelaTrremte H3llfRa
na IIOJ(pe)l(llaHe Ha npHMepHTe OT IIo-neCHH KLM 1l0-TPYIJHH KOeTO KpaCROpeIBBO roBopn 33
rreIJarOIHIeCKOTO yMeHHe Ha aBTOpHTe JhAHo a3 omc npenopDtJarra ll3 ce n06awrr nOBeqe pemeHH
ITpHMepn n BCHlKHTe nplIMepH ll3 ODnaT nOHe C OTIOBOpB TOBa 6H llaJlO Bb3MOJKBOCT 1l0cooueTO
lla ce H3nOJI3Ba ycnenmo He CaMO B tJ3COBere 33 yrrpIDKHeHIDI HO II 33 CaMOCTOfieJ1Ha OOJ(lOTOBKa
aa cTlleHTIITe
)(pyrOTO y-qe6HO nocoone Mathematics I e B CbaBTOPCTBO C K ileeBa cLmp)I(a 109 cTp
H e rry6JIHKYBaHO npe3 2009 To e oarmCaHO Ha aormmcKH e3HK n e opaeRTHpaHo KLM
lYJK)lOe3HKOBOTO 06yqeHUe oa cT)lleHTHTe B TY-COqIDI no KOMmOTIgtPHH HaKH H MexaTpOHHKa
To OOXBama OCHOBHHTe KJIaClPIeCKH TeMH no mmemm arrre6pa KaTO KOMl1lIeKCHB lHCJIa
4
IIOJIHHOMll MaTpHIUl IeTepMJUlaHTII CHCTeMB JIHEIeftmr ypaBHeHIDl ABTopwre ca CH nOCTaBWTU 3a
nerrna npeLVJOJKaT IIocofiHe KOeTO Jla cnOMorne aa cTyleHTBTe He CaMO 3a no-rreCBOTO YCBOKBaBe
Ha MaTepHaJIa no B Cb~OTO BpeMe H 3a 3aznrr6olienoTO H JlOrwIeCKOTO MY pa3finpaae Tam CH nen
Te ca $I IIOCmTBaJIH ycnenmo ICaTO ca H36eraaJIH CJlO)KlIB lOKaJaTeJlCTBa aa MaTeMaTWIeCKH
IPaKTIf a a HafinernaJIH na IIpHJTO)l(eHHeTO aa CD TBennlTe MeT01H H TeXHHKH BLPxy nolXOlVUIlo
UonpaBH H )MeJIO nOllpeAeHH npHMepH [OJUlMa qaCT OT npHMepHTe ca pemeHH a OCTaHamrre ca
llaAeHH C TeXH1ITe OTrOBopH Maoro Jl06po BrreqaTJTeHHe npaaH rpacpHlHOTO HJllOCTpHPaBe aa
1l0IDJTHJlTa H pememurra KaKTO B cneqHamnrre naparpa4m aa KpaJI aa BCBKa rnaBa B KOHTO ce
IIpaBH KpaTLK 0630p Ha MaTepHaJIa H ce )laBaT 06mu 3alallH 3a 3aTBLp)l(l(aBaae aa B3YQemur
MaTepBan BCHIKO TOBa JIaBa Bl3MOJKHOCT oa yqe6aoTo noc06He Jla 6olle ycrreIIIHo R3nOJl3BaHO
OT c1)neHTIITe B 3a CaMOCTOJITeJIHa nOllTOTOBKa IIO CbOTBeTHHTe zumOBe OT MaTeMaTHKaT3
TPeTOTO rroc06Be e c elHHCTBeo aBTOP K LBDlJIHeBa H e B eneKTpOHea BapHaHT To e
oltpopMeHo KaTO nOMOIllHO cpeJlCTBO 3a yrrproKHeHDJITa no MaTeMaTHKa 1 3a cT)neBTIlTe OT cnen
KOMlIJOTLPHH HaKH IIollToTBeHo e aa 8HTJlHHCKH elHK nopanH eCTeCTBOTO aa 06yqeHHe Ha
CTylleBTIlTe OT CLOTBeTHaTa cnequarrH CT B TOsa noco6He yMeJIO ca 03n0Jl3BaHH CbBpeMeRmrre
Bh3M02KHOCTH aa KOMIIIltgtTDpHHTe CO(1)ryepB BcJIYIKlI TeMll ca rpaIPHq]JO RJIJOCTpHpaHH KoeTO JlaBa
Bb3MOJKHOCT H 3a BH3yaJIHOTO Bb3npoeMaBe H paJ6BpaBe OT CTpaHa aa cryneHTliTe Oc06eHO
JIo6po BnelaTneHHe MIl HanpaBH H3nOiKeHHeTO B mrpepeHI(HaJIHOTO CMJIT8Be B rrO-TOrIHO npH
H3CJIel(BaaeTO aa 4gt~ CLqeTaBaHeTO aa TeOpeTIPIHlITe YMeHWI C rpaIPlIIHHTe mnoCTpaIJHR
onpelleneHO e rOJUlMa 110MOm aa CT)IeHTHTe
DonoJIHHTeITRO 6mc oroeJl$I3aJIa Ie ny6Jll1KaJIIHTe ua KaHllBJIaTIltaTa no MeTO)lBKa aa
MaTeMaTRKaTa (peneH3HpaHH no-rope) JlOnbJllIlITelIHO nOKa3BaT He CaMO npaJlt1HIeCKHTe H YMeHIDl
KaTO DpenOllaBaTerr HO 0 lJDJT601GITe H TeOpeJR1IHH rr03HaHIDI
OCBeH TOBa CPaKTLT qe KaBJlll)laTKaTa pa60TK RaTO aCHCTeHT Beqe 22 rolBHK npe3 ROlITO
e BOlHJla He caMO ynpa)KHemur HO e lena H nelltIIDl 6e3crropHO rOBOpo 3a aeiiHHTe yTBbpneHH
rr03BI(HH KaTO IIpenOJIaBaTen B 3a rreJIarOrHleCKHTe H YMeHIDl
5 OCBOBRD H3Y1HH H H3Y1HO-OpHJJOiKBB npUHOCH
me oroene)Ka Ie B T 3 npo OnHCaBReTO Ha aayqaaTa npollyKIlIDI Ha KaH1HnaTKaTa C1M
nana H JIeTaHlIHO MHeHHe 3a aeitmrre npHHOCH TYK HaKpaTKO CaMO me o606IIJ)J 1Je KaFIl(HIaTKaTa
HMa 3HaqaTeJIHB
ItaylllU npullocu B 06nacTTa Ha 1H~epeHllBanmrre ypaBHemur CBLP3amJ C IDyT-TaBaBeTO Ha
HJlKOH KalJeCT8eHH CBOHCTBa aa pemeHH$IT8 1m KaTO ce mCrrelBaT Pa3HOTHITHH
IHIPepeHlUfaJIBlil ypaBBemur
HaylHo-npWLO~lIU npuHocu
lo H3nelJBamI ca MOlleJIR OT nonyrramlOIIRaTa )UlHaMHKa ( B)l( AI Ii1 E3) gt H3yqeHa e IlI1IaMHKaTa aa 3aTBOpa Ha xBJqJaBJIHIeH npellla3HO BD3BpaTea KJIaIIaH
(IDK MOHorpa~IDI AI pa60Ta E2) )000 B o6naCTTa aa MeTOlHKaTa H3CrrelJBaH1I ca oco6eHocTIITe Ra 06yqeEmeTo no
MareMaTRKaTa 3a cry)leHTHTe-qyraquolt)leHIllf IPopMlITe H MeTOIHTe aa rrpenoJlaBaRe (BlK rl r2 U2 [(4) lncnellBaHlf ca rrOHSI II1HARTe CTpYKTYPR Ha reoMeTpJPmH nOlumUJ B
LJbJITOcpo1JHaTa llaMeT (r2) IDyqaBa ce npexoJlBIDl nepHO)l YliHJIRlIle -yaHBepClITeT
5
KaTO ca nOCOIeB1l H MepKH 3a npeOl01IJ[8aHe Ba TPYllHocnrre II rrp06JIeMJITe B T031I nepHOl
B)K fS) npWZOJICIIU npullocu pa3pa60TeBH ca KOHKpeTIDl TeME 3a 06yqeHHeTO DO MaTeMaTHKa aa
cT)JleHTIITe-qy1K)leHllH (B)I pa60TIl f4 II ll)
6 3HalfHMoCT Ha pRUOeHTe na uayxaTa D npaKTHKaTa
HaymlITe PeJYJITaTII JTonyqeRB OT KaImBnaTKaTa Tn ac l-P K )(ATII1IHeBa HMaT rOJIJlMo
3SaIeJrne 3a Pa3BHTHeTO Ha nBe OCBOBHH 06rracTH B MaTeMaTHKaTa - llHcpepeHI(IIamnITe ypaBHeHIDl
II MeTOIJHKaTa 3a TOBa rOBoplI lOIThITAIITeJIBO H OT3B)KbT Ba Te3B pe3YIITaTII B Me)Kll)HapOZHaTa
MaTeMaTIAeCKa 06maOCT H3pa3eHO Ipe3 TJIXHOTO QJITHpme KllIIJlImaTKaTa e npe1lCTaBHJIa
CDHCbK c ulITHPaBIDITa CbrJIaCRO KoiiTO lIcimI pe3YJITaTB OT 9 BayqmJ TpYJla ca ~ampamr o6mo
19 IThTB (6e3 aBTOmrram) Or TJIX 17 ca B CneIlHaJDI3BpaHH MegtpoundmYBapOllHB BayqmI ClIBCaRBJI
CpeJl MaTeMaTHQ1lTe 3a6eilll3amI II I3D01I3BaJm pe3YJITarn Ba K )(mnmeBa ca Be CaMO 6brrrapH
HO B Me)KIl)HapoJlHH MaTeMaTIlIJH uy6IIHK)BaJIH B Nonlinear Analysis Real World Applications CDHCaHRe ROCTO OMa KMDaKT cjgtaKTOP 2138 R ce Hape)l)Ja I3Me)l(l1) Dbprune 10 CITHcamuI no
MaTeMaTHKa B CBeTa CRJIHO BIleqaTJIeHHe npaJUlT I(IITIlpaBIDITa sa MOHorpaqnUITa KOflO e
ny6JUIKYBaBa npellll nO-MaJIKO OT rO)lHBa HO Beqe e 3a6eJUJ3aa8 II R3D0Jl3BaBa OT
MareMamqeCKaTa 06maOCT
OCBeH TOBS rn ac n-p Kant )(HlTIJIKeBa lIMa h-HH(eKC e 4 (CbrrraCHO Google scholar) a gshy
llH)leKC e 4 KOeTO Jlomnmrremo DOKa3Ba 3Ba1JlIMOCrra Ha pe3JITanrre H
C Ofnen OQeIDIBaBe KOJUJ1JeCTBemrre nOKa3aTemr Ha KpHTepmne 3a 3aeMaHe sa
aKaeMIlIBaTa rolMIltHOCT Jlo~eHT H 3a no-roJTIlMa rrperrre1UlOCT CbM Hanprumrra CpaBHemte
Me)lOl) MHlIHMarrHHTe lI3HCKBamIJI KbM npaBHJlHHKa 3a ycrroBrurra H pena 3a 3aeMaHe Ha
axaIleMlfIHB JlJIbgtKHOCTH B TY-COltPWI B CrrelBaTa Ta6mma
Ibm H1HcKBalUlJr npeliCTaBeHB 3a
peqeHlHpaBe
MOHorpaltpmr 1 1
06m 6pOH HaYJIDI TPynoBe 5 21
- B Tq 6pOB CTaTHH B peIleH3HpaHH CDDC81UUI 3 13
-8 VI 6pOD CaMOCTOJlTeJIHH rpynoBe 2 6
-B TI B crmcaHIDI C HMTIaKT ltp8KTOP 0 1
YIe6HH noc06IDl 1 3 (ertHo e 0 arraBB)
BOleHR B TY neKllllH rrpe3 Docneronrre 3 ro)lUHH 30 Iaca 90 Iaca
Spoil IUITHPaHIDI 3 19
-B Ti 6pOH B 1JYgtK6BHa 1 17 (ertHo e C Hltfraquo r------
YqaCTHe B Ha)IHOH3CJ1enoBaTerrcKH rrpoeKTB 2 2
6
OT rOpHaTa Ta611HIla ce BIDKla qe C npel(CTaBeBBTe 3a peIleB3HpaHe l(oKMeHTIl mac U-P
KaTJI JlHIIlJIHeBa He CaMO rrOKpHBa MmlHMarrmrre IDJfCKBaBIDI aa IIpaBB1IIIHKa Ha TY-COcpIDI 3a
3aeMaHe aa axaneMlflIlIaTa 2l1lbgtKHOCT llOIleHT HO H 3H81HTeJIlIO rn HazurnmaBa
7 KPBTHIBB 3a6eJ1e~KH H npeOOpLKH
Ilpu TlO)lIOTOBKaTa sa UOK)MeHTIITe 3a KOHKypca lIMa IDIKOH HeTOllHOCTII KORTO o6aQe He
HaMaJUlBaT Ha)1IHaTa HM CTOHuOCT HarrpHMep B CIIHCLKa C IUITHPaHIDl KaKTO H B CIIUCLKa C
rry6JIHKaIJH1f K~aTKaTa HerrpaBmmO e OT6erul3arra TH HMIIaKT cfJaKTOP HanpBMep
CilllCaHIleTO Nonlinear Analysis series B Real World Applications HMa R4gt 3a 2011 r 2138 a Re
KaKTO e oroeIDJ3aHo 2 381 CIIBcaHHeTO lnternatinal Journal aPure and Applied Mathematics Bce
oIlle WlMa 11lt1gt a He KaKTO e oroeIDl3rum Hlt1gt 00229 OCBeH TOBa B 72 OT CIDICLllta aa IUITHJgtaHIDr HerrpaBRlIHO e BaImCaHO HMeTO Ha crmCWllIeTo
8 JIH HH BneqaTJleHBJI
II03HaBaM KaTIl JlHIIImleBa nOBeqe OT 15 rolUlHH 3ano3Hax ce C Reg nepCOHaIIHO Ha
e)Kero~e MeJKIlYllapoumrre MaTeMaTHIeCIltB KOHpepeHIlHH IIO l(Hcpepe~amm
ypaBRcHlLllfnpRJIO)KHS MaTeMaTHKa B ThrOBllHB Tjf BHHanI 6eme emm OT HaB-alITHBHHTe UleHOBe
Ha opr3HH3aIlliOHHWI KOMHTeT oc06eHO npu pernCTpaqIDITa Ha yqacl1Dll(Hre a BCJIKa roruma
HMame IIOHe lTO 200 yqac1HHIIH npe)lHMHo OT qyJK6HBa OIlle TOraBa K LtmnrmeBa Me BIJeqaTJIU
He CaMO CLC CBOHTe YMeHHJI l(a opramI3Rpa H PLKOBOl(H BO H C )lhJl601Qrre CH rr03HaHIDJ B
06naCTTa Ha MaTeMaTHKaTS R C yMeHIDlTa CIf aa npeUCTaBjf p836HpaeMO CBOBTe pe3YJITaTH Tsr BHHarH e 6HJIa 11 e H3KJ1JOtmTeJIHO aKYP8ma TPyUomofiHBa H KOpeKTHa OrrpeneneHO fiHX Ka3ana
tie KaT1l JlmmmeBa e H3rpanen IIpoqeCHOH8JDICT H CLM y6eneaa qe Tjf me npOl(bJl1KaBa lla ce
pa3BHBa H yrBLpJKDaBa KaTO el(HB Me)J(llyHapOUHo npH3HaT MaTeMaTIfllt
3AKJIIOlEHIIE
JloKYMeHTHTe H MaTepRamITe rrpencTaBeHB OT rJI ac ll-P KaTjf (mmmeBa OTrOOapliT U8
H3HCKBaBJIJITa Ha 3aKOHa 3a p83BHJHe Ha axaUeMlAHWl CLCTaB B Peny6JIHKa ELlITapHJI (3PACPE)
ITpaBBJ1R1i[J(8 3a DpHJ1aIaRe Ha 3PACPE H CLOTBeTHlUI IIpaBH1IBKK Ha TY-CoqUjf
KaH]lHllaTKaTa B KOHKYpca e rrpeUCTaBHJTa laaIHTeJleH 6poii HayqHH TpYUOBe KOHTO He ca
H3IIOn3BaHH B nucepTanHOHHHjf Tprn 3a npHnOfiUBaHe Ha OHC bullllOKTOp B pa60THTe Ha
KaaJlInaTKaTa BMa OpBTBHaJIHH nayqHH H nayqao-rrpmlOgtKHH npHHOCH KORTO ca IIOrrytlRllH
MeJKllYHapOUHO IIpH3Ha1Dle KaTO npeu-cTaBHTeJIHa qaCT OT Tfi ca rryfiJlllI()BaHH B CIIHCami1I If
Hayqml cfioplJHl(H H3naneHH OT Me)Kl()HaponIDI aKaUeMUqHlf B3llaTenCTBa Teopemqmrre H
p83pa6oTKH raquoMaT npaJCI1J1leCKa rrpHnOJKHMOCT KaTO qaCT OT Tfi ea ITpjJ](O OpHeHTIlpaHU ICbM
yqe6HaTa pafioTIl HayqHaTa H nperrOllaBaTeJlCKaTa KBaJ1BqHKaIlHK Ha f1l ac ll-P KaTSI ~eBa
e OeCLMHeaa IIocmrnaTHTe OT rn ac ll-P KaTjf AmnnueBa pe3ymam B )lie6Harn H HayqBOshy
H3crrenOBaTeJJCKaTa llemOCT 0811LJ1lIO CLOTBeTCTBaT Ha cnelBpJFnIHTe H3HCKBaHIDr B
TIpamumHKa na TY-COltpIDI 3a rrpHJTOlKeBlle na 3PACPE
7
CJIen 3arr03HaBaHe c npenCTaBeHHTe B KOHKYPCa MaTepHarIH H Hayqmr TPYllOBe aHaJIH3 Ha
TJlXHaTa 3Ha1JHMOCT H CLll1gtP)KaJlR ce B TJIX HayqHH aayrmo-rrpWlolKHH H npHlJO)[(HH ITpHHOCH
YEEL(EHO llaBaM CBOjlTa nOJTOjKJflEJIHA OneHKa H npenOpL-maM Ha HayqaoTO raquoeypH na
H3rOTBH llOI(Jlaz(-rrpellJlOlKeHHe no ltbC Ha ltbaxyJITeT no nprurO)J(Ha MaTeMaTHIlta H HHqopMaTHKa
npH eXHHIeCKJ ymmepCHTeT-ColtgtHJ1 3a H360p Ha rn ac n-p KaTJl reopmeBa nmmmeBa Ha
aK3neMH1maT8 nJIL)KBOCT bullnOllen B TY-COltgtIDI no npocpeCHOBaJIHO HarrpaBJIeIfHe 4 IJpupOO1U
HayKU MameMamUKa U uHtP0pMamuKa HayqBa cnellHWlHOCT 45 MamelHamU1(a
ClucentepefllfUaJlIlU ypa6HeHUR)
25042012r PeuemeHT
(npoIP llMH CHeJKaHa XpHCTOBa)
8
pe3ym3nrre B rJIaBa 2 ce OCHOBaBaT H3 paooTa E3 a pe3ynTam OT CTaTImTe E1 H E4 ca
BKJUOIeHH B rJIaBH 1 2 6
KaHZUIlIaTKaI3 e npeJ(cTaBHJIa H 5 pe3IOMeTa H3 J(0K1IanH Ha Me~apOJ(HH
KOHqepeHUKB pe3YJIT3THTe ff3 KORTO H3Tne2KllaT HHTepecmr HO Ha TID HJlMa J(a ce CDHPaM
1l0Pawr mmca R3 no-nOJtPOORa HHlflopMamur
HI HCJletgt6aHUR 8 o6Jlacmma Na wemotgtuKama Ha penotgta(JQHemo Ha MameMamUKamashyrJI ac J(-P K UmmmeB3 e npellCTaBHJIa 8 H3)fHl1 CTanm B Ta3H oonaeT Te3lf CTaTIDI ca
nyoJIHKYBaHH OCBOBRO B rOJ(BLUHHK3 H3 ImCTHTyTa 33 IYgtKllec-rpamm CTYneHTH KaTO 5 OT
TJIX ca CaMOCTowremm OCHOBHHTe npooJleMH H3Cne1lB8RlI B npHJImKeRHTe CTaTHH ca
CBDP3aHH C ocOOeHOCTHTe B 06YQeHHeTO sa CTYJ(eBTBTe-qygtKneHIlH DO MaTeMaTHKa ope3 TH
nonrOTBHTeJIHa rODHHa Pa3meIJaBH ca pa3JmlHB Ie IflOPMlI Ha YCTRH yrrpIDKHeHIDJ (f1)
Ka1ltTO U yMeHHeTona ce mpa3JlBa MaTeM3TH1eCKOTO 3HaHHe B pa3JDfqffil centOPMB (r3) MHoro
J(06po BneQaTJIeHHe oprum H306uJIHeTO OT DOnxONIIIJH rrpHMepH UJOOCTpHPaIIUI
H3CJIeJ(Bamrre upo6JIeMH
Hanpcrneoo e cHCTeMaU13l1paHe Ha rrpooJIeMHTe B qy)K)JOe3HKOBOTO ooyqeHHe no
MaTeMaTIfK3 ()(2 K U3)
B pa60TII r4 H [1 e npe)UIO)l(eHa rpuCTeneHHa MeTOllHIeCKa pa3paooTKa (npOITHJ(eBTHK3
BDBe)KnaHe H 3aTBbpgtKllaBaHe) 3a DBe OT BaH Tpyl(BlITe 3a YCBOJlBaHe TeMH- rpaHUlIa Ha
rPYHKlUU U HenpeKbCHamocm
4 OQeHKa Ha nezarOrB1leCKaT3 DOWOTOBKa H IleUHOCT H3 KaozUIlaT3
He D03SaBaM rlI ac n-p K UH11IlIHeBa mrrmo KaTO npenonaBaTeJI BO ReHBOTO
nenarOrJrIIeCKO yMeHHe MHoro RCBO JIH1llJ OT rrpeJ(cTaBe8llTe y-qefiHH nOMarana KaazumaTKara e
rrpeJ(CTaBmra pH y-qe6HU nocoou 1lBe Ha xapmeR HOCUTerr H eIJHo erreKTpoHHo Ile HanpaBR
KpaThK 0030P aa Te3H IJocoou
EmIOTO OT TJIX YsooeJl KYpc no MameMamuKa MOOYJl 1 e B CbaBTOPCTBO C A PORKOB
CDJlLp)l(a 105 cTp H e H3llalleHO opel 2006 To e npeIJHa3HaQeHO 3a qyxmecTpamnrre cryJ(eHTII OT
TY-COqIDI If BKJ1IltlIBa OCHOBHHTe TeMH HeofixoJ(HM1 KaTO OCHOBa 3a myqaBaHeTo U3
znrltgtepeHIlHaJIHOTO H HHTerparmoTo CMHTaHe TeMHTe KOHTO ce p83rJIegtKllaT ca OCHOBHH
eneMeHTH OT Teopmrra ua MHO)l(eCTBaTa lleHCTBHRT3 C peaJ1HBTe lHClla aepaBeHcTBa 11
ypaBHeHllJI (mmeHmi KBazwaTHH HPaIUlOHaJIHH IIOKa3aTemm noraplITMH1ffiH) BCRKa TeM3
3aJlOtBa C KpaTKO 80 Maoro HHljlopMaTHBHO H3lIOlKeHHe a3 CbOTBeTH1ITe reopeTIPIBlJ pe3YJITaTH H
e rrocneJ(BaHO OT MRO)l(eCTBO UOJlXOIDIlllO H30PaHR ITpHMepH npaBJf J(06po BnelaTrremte H3llfRa
na IIOJ(pe)l(llaHe Ha npHMepHTe OT IIo-neCHH KLM 1l0-TPYIJHH KOeTO KpaCROpeIBBO roBopn 33
rreIJarOIHIeCKOTO yMeHHe Ha aBTOpHTe JhAHo a3 omc npenopDtJarra ll3 ce n06awrr nOBeqe pemeHH
ITpHMepn n BCHlKHTe nplIMepH ll3 ODnaT nOHe C OTIOBOpB TOBa 6H llaJlO Bb3MOJKBOCT 1l0cooueTO
lla ce H3nOJI3Ba ycnenmo He CaMO B tJ3COBere 33 yrrpIDKHeHIDI HO II 33 CaMOCTOfieJ1Ha OOJ(lOTOBKa
aa cTlleHTIITe
)(pyrOTO y-qe6HO nocoone Mathematics I e B CbaBTOPCTBO C K ileeBa cLmp)I(a 109 cTp
H e rry6JIHKYBaHO npe3 2009 To e oarmCaHO Ha aormmcKH e3HK n e opaeRTHpaHo KLM
lYJK)lOe3HKOBOTO 06yqeHUe oa cT)lleHTHTe B TY-COqIDI no KOMmOTIgtPHH HaKH H MexaTpOHHKa
To OOXBama OCHOBHHTe KJIaClPIeCKH TeMH no mmemm arrre6pa KaTO KOMl1lIeKCHB lHCJIa
4
IIOJIHHOMll MaTpHIUl IeTepMJUlaHTII CHCTeMB JIHEIeftmr ypaBHeHIDl ABTopwre ca CH nOCTaBWTU 3a
nerrna npeLVJOJKaT IIocofiHe KOeTO Jla cnOMorne aa cTyleHTBTe He CaMO 3a no-rreCBOTO YCBOKBaBe
Ha MaTepHaJIa no B Cb~OTO BpeMe H 3a 3aznrr6olienoTO H JlOrwIeCKOTO MY pa3finpaae Tam CH nen
Te ca $I IIOCmTBaJIH ycnenmo ICaTO ca H36eraaJIH CJlO)KlIB lOKaJaTeJlCTBa aa MaTeMaTWIeCKH
IPaKTIf a a HafinernaJIH na IIpHJTO)l(eHHeTO aa CD TBennlTe MeT01H H TeXHHKH BLPxy nolXOlVUIlo
UonpaBH H )MeJIO nOllpeAeHH npHMepH [OJUlMa qaCT OT npHMepHTe ca pemeHH a OCTaHamrre ca
llaAeHH C TeXH1ITe OTrOBopH Maoro Jl06po BrreqaTJTeHHe npaaH rpacpHlHOTO HJllOCTpHPaBe aa
1l0IDJTHJlTa H pememurra KaKTO B cneqHamnrre naparpa4m aa KpaJI aa BCBKa rnaBa B KOHTO ce
IIpaBH KpaTLK 0630p Ha MaTepHaJIa H ce )laBaT 06mu 3alallH 3a 3aTBLp)l(l(aBaae aa B3YQemur
MaTepBan BCHIKO TOBa JIaBa Bl3MOJKHOCT oa yqe6aoTo noc06He Jla 6olle ycrreIIIHo R3nOJl3BaHO
OT c1)neHTIITe B 3a CaMOCTOJITeJIHa nOllTOTOBKa IIO CbOTBeTHHTe zumOBe OT MaTeMaTHKaT3
TPeTOTO rroc06Be e c elHHCTBeo aBTOP K LBDlJIHeBa H e B eneKTpOHea BapHaHT To e
oltpopMeHo KaTO nOMOIllHO cpeJlCTBO 3a yrrproKHeHDJITa no MaTeMaTHKa 1 3a cT)neBTIlTe OT cnen
KOMlIJOTLPHH HaKH IIollToTBeHo e aa 8HTJlHHCKH elHK nopanH eCTeCTBOTO aa 06yqeHHe Ha
CTylleBTIlTe OT CLOTBeTHaTa cnequarrH CT B TOsa noco6He yMeJIO ca 03n0Jl3BaHH CbBpeMeRmrre
Bh3M02KHOCTH aa KOMIIIltgtTDpHHTe CO(1)ryepB BcJIYIKlI TeMll ca rpaIPHq]JO RJIJOCTpHpaHH KoeTO JlaBa
Bb3MOJKHOCT H 3a BH3yaJIHOTO Bb3npoeMaBe H paJ6BpaBe OT CTpaHa aa cryneHTliTe Oc06eHO
JIo6po BnelaTneHHe MIl HanpaBH H3nOiKeHHeTO B mrpepeHI(HaJIHOTO CMJIT8Be B rrO-TOrIHO npH
H3CJIel(BaaeTO aa 4gt~ CLqeTaBaHeTO aa TeOpeTIPIHlITe YMeHWI C rpaIPlIIHHTe mnoCTpaIJHR
onpelleneHO e rOJUlMa 110MOm aa CT)IeHTHTe
DonoJIHHTeITRO 6mc oroeJl$I3aJIa Ie ny6Jll1KaJIIHTe ua KaHllBJIaTIltaTa no MeTO)lBKa aa
MaTeMaTRKaTa (peneH3HpaHH no-rope) JlOnbJllIlITelIHO nOKa3BaT He CaMO npaJlt1HIeCKHTe H YMeHIDl
KaTO DpenOllaBaTerr HO 0 lJDJT601GITe H TeOpeJR1IHH rr03HaHIDI
OCBeH TOBa CPaKTLT qe KaBJlll)laTKaTa pa60TK RaTO aCHCTeHT Beqe 22 rolBHK npe3 ROlITO
e BOlHJla He caMO ynpa)KHemur HO e lena H nelltIIDl 6e3crropHO rOBOpo 3a aeiiHHTe yTBbpneHH
rr03BI(HH KaTO IIpenOJIaBaTen B 3a rreJIarOrHleCKHTe H YMeHIDl
5 OCBOBRD H3Y1HH H H3Y1HO-OpHJJOiKBB npUHOCH
me oroene)Ka Ie B T 3 npo OnHCaBReTO Ha aayqaaTa npollyKIlIDI Ha KaH1HnaTKaTa C1M
nana H JIeTaHlIHO MHeHHe 3a aeitmrre npHHOCH TYK HaKpaTKO CaMO me o606IIJ)J 1Je KaFIl(HIaTKaTa
HMa 3HaqaTeJIHB
ItaylllU npullocu B 06nacTTa Ha 1H~epeHllBanmrre ypaBHemur CBLP3amJ C IDyT-TaBaBeTO Ha
HJlKOH KalJeCT8eHH CBOHCTBa aa pemeHH$IT8 1m KaTO ce mCrrelBaT Pa3HOTHITHH
IHIPepeHlUfaJIBlil ypaBBemur
HaylHo-npWLO~lIU npuHocu
lo H3nelJBamI ca MOlleJIR OT nonyrramlOIIRaTa )UlHaMHKa ( B)l( AI Ii1 E3) gt H3yqeHa e IlI1IaMHKaTa aa 3aTBOpa Ha xBJqJaBJIHIeH npellla3HO BD3BpaTea KJIaIIaH
(IDK MOHorpa~IDI AI pa60Ta E2) )000 B o6naCTTa aa MeTOlHKaTa H3CrrelJBaH1I ca oco6eHocTIITe Ra 06yqeEmeTo no
MareMaTRKaTa 3a cry)leHTHTe-qyraquolt)leHIllf IPopMlITe H MeTOIHTe aa rrpenoJlaBaRe (BlK rl r2 U2 [(4) lncnellBaHlf ca rrOHSI II1HARTe CTpYKTYPR Ha reoMeTpJPmH nOlumUJ B
LJbJITOcpo1JHaTa llaMeT (r2) IDyqaBa ce npexoJlBIDl nepHO)l YliHJIRlIle -yaHBepClITeT
5
KaTO ca nOCOIeB1l H MepKH 3a npeOl01IJ[8aHe Ba TPYllHocnrre II rrp06JIeMJITe B T031I nepHOl
B)K fS) npWZOJICIIU npullocu pa3pa60TeBH ca KOHKpeTIDl TeME 3a 06yqeHHeTO DO MaTeMaTHKa aa
cT)JleHTIITe-qy1K)leHllH (B)I pa60TIl f4 II ll)
6 3HalfHMoCT Ha pRUOeHTe na uayxaTa D npaKTHKaTa
HaymlITe PeJYJITaTII JTonyqeRB OT KaImBnaTKaTa Tn ac l-P K )(ATII1IHeBa HMaT rOJIJlMo
3SaIeJrne 3a Pa3BHTHeTO Ha nBe OCBOBHH 06rracTH B MaTeMaTHKaTa - llHcpepeHI(IIamnITe ypaBHeHIDl
II MeTOIJHKaTa 3a TOBa rOBoplI lOIThITAIITeJIBO H OT3B)KbT Ba Te3B pe3YIITaTII B Me)Kll)HapOZHaTa
MaTeMaTIAeCKa 06maOCT H3pa3eHO Ipe3 TJIXHOTO QJITHpme KllIIJlImaTKaTa e npe1lCTaBHJIa
CDHCbK c ulITHPaBIDITa CbrJIaCRO KoiiTO lIcimI pe3YJITaTB OT 9 BayqmJ TpYJla ca ~ampamr o6mo
19 IThTB (6e3 aBTOmrram) Or TJIX 17 ca B CneIlHaJDI3BpaHH MegtpoundmYBapOllHB BayqmI ClIBCaRBJI
CpeJl MaTeMaTHQ1lTe 3a6eilll3amI II I3D01I3BaJm pe3YJITarn Ba K )(mnmeBa ca Be CaMO 6brrrapH
HO B Me)KIl)HapoJlHH MaTeMaTIlIJH uy6IIHK)BaJIH B Nonlinear Analysis Real World Applications CDHCaHRe ROCTO OMa KMDaKT cjgtaKTOP 2138 R ce Hape)l)Ja I3Me)l(l1) Dbprune 10 CITHcamuI no
MaTeMaTHKa B CBeTa CRJIHO BIleqaTJIeHHe npaJUlT I(IITIlpaBIDITa sa MOHorpaqnUITa KOflO e
ny6JUIKYBaBa npellll nO-MaJIKO OT rO)lHBa HO Beqe e 3a6eJUJ3aa8 II R3D0Jl3BaBa OT
MareMamqeCKaTa 06maOCT
OCBeH TOBS rn ac n-p Kant )(HlTIJIKeBa lIMa h-HH(eKC e 4 (CbrrraCHO Google scholar) a gshy
llH)leKC e 4 KOeTO Jlomnmrremo DOKa3Ba 3Ba1JlIMOCrra Ha pe3JITanrre H
C Ofnen OQeIDIBaBe KOJUJ1JeCTBemrre nOKa3aTemr Ha KpHTepmne 3a 3aeMaHe sa
aKaeMIlIBaTa rolMIltHOCT Jlo~eHT H 3a no-roJTIlMa rrperrre1UlOCT CbM Hanprumrra CpaBHemte
Me)lOl) MHlIHMarrHHTe lI3HCKBamIJI KbM npaBHJlHHKa 3a ycrroBrurra H pena 3a 3aeMaHe Ha
axaIleMlfIHB JlJIbgtKHOCTH B TY-COltPWI B CrrelBaTa Ta6mma
Ibm H1HcKBalUlJr npeliCTaBeHB 3a
peqeHlHpaBe
MOHorpaltpmr 1 1
06m 6pOH HaYJIDI TPynoBe 5 21
- B Tq 6pOB CTaTHH B peIleH3HpaHH CDDC81UUI 3 13
-8 VI 6pOD CaMOCTOJlTeJIHH rpynoBe 2 6
-B TI B crmcaHIDI C HMTIaKT ltp8KTOP 0 1
YIe6HH noc06IDl 1 3 (ertHo e 0 arraBB)
BOleHR B TY neKllllH rrpe3 Docneronrre 3 ro)lUHH 30 Iaca 90 Iaca
Spoil IUITHPaHIDI 3 19
-B Ti 6pOH B 1JYgtK6BHa 1 17 (ertHo e C Hltfraquo r------
YqaCTHe B Ha)IHOH3CJ1enoBaTerrcKH rrpoeKTB 2 2
6
OT rOpHaTa Ta611HIla ce BIDKla qe C npel(CTaBeBBTe 3a peIleB3HpaHe l(oKMeHTIl mac U-P
KaTJI JlHIIlJIHeBa He CaMO rrOKpHBa MmlHMarrmrre IDJfCKBaBIDI aa IIpaBB1IIIHKa Ha TY-COcpIDI 3a
3aeMaHe aa axaneMlflIlIaTa 2l1lbgtKHOCT llOIleHT HO H 3H81HTeJIlIO rn HazurnmaBa
7 KPBTHIBB 3a6eJ1e~KH H npeOOpLKH
Ilpu TlO)lIOTOBKaTa sa UOK)MeHTIITe 3a KOHKypca lIMa IDIKOH HeTOllHOCTII KORTO o6aQe He
HaMaJUlBaT Ha)1IHaTa HM CTOHuOCT HarrpHMep B CIIHCLKa C IUITHPaHIDl KaKTO H B CIIUCLKa C
rry6JIHKaIJH1f K~aTKaTa HerrpaBmmO e OT6erul3arra TH HMIIaKT cfJaKTOP HanpBMep
CilllCaHIleTO Nonlinear Analysis series B Real World Applications HMa R4gt 3a 2011 r 2138 a Re
KaKTO e oroeIDJ3aHo 2 381 CIIBcaHHeTO lnternatinal Journal aPure and Applied Mathematics Bce
oIlle WlMa 11lt1gt a He KaKTO e oroeIDl3rum Hlt1gt 00229 OCBeH TOBa B 72 OT CIDICLllta aa IUITHJgtaHIDr HerrpaBRlIHO e BaImCaHO HMeTO Ha crmCWllIeTo
8 JIH HH BneqaTJleHBJI
II03HaBaM KaTIl JlHIIImleBa nOBeqe OT 15 rolUlHH 3ano3Hax ce C Reg nepCOHaIIHO Ha
e)Kero~e MeJKIlYllapoumrre MaTeMaTHIeCIltB KOHpepeHIlHH IIO l(Hcpepe~amm
ypaBRcHlLllfnpRJIO)KHS MaTeMaTHKa B ThrOBllHB Tjf BHHanI 6eme emm OT HaB-alITHBHHTe UleHOBe
Ha opr3HH3aIlliOHHWI KOMHTeT oc06eHO npu pernCTpaqIDITa Ha yqacl1Dll(Hre a BCJIKa roruma
HMame IIOHe lTO 200 yqac1HHIIH npe)lHMHo OT qyJK6HBa OIlle TOraBa K LtmnrmeBa Me BIJeqaTJIU
He CaMO CLC CBOHTe YMeHHJI l(a opramI3Rpa H PLKOBOl(H BO H C )lhJl601Qrre CH rr03HaHIDJ B
06naCTTa Ha MaTeMaTHKaTS R C yMeHIDlTa CIf aa npeUCTaBjf p836HpaeMO CBOBTe pe3YJITaTH Tsr BHHarH e 6HJIa 11 e H3KJ1JOtmTeJIHO aKYP8ma TPyUomofiHBa H KOpeKTHa OrrpeneneHO fiHX Ka3ana
tie KaT1l JlmmmeBa e H3rpanen IIpoqeCHOH8JDICT H CLM y6eneaa qe Tjf me npOl(bJl1KaBa lla ce
pa3BHBa H yrBLpJKDaBa KaTO el(HB Me)J(llyHapOUHo npH3HaT MaTeMaTIfllt
3AKJIIOlEHIIE
JloKYMeHTHTe H MaTepRamITe rrpencTaBeHB OT rJI ac ll-P KaTjf (mmmeBa OTrOOapliT U8
H3HCKBaBJIJITa Ha 3aKOHa 3a p83BHJHe Ha axaUeMlAHWl CLCTaB B Peny6JIHKa ELlITapHJI (3PACPE)
ITpaBBJ1R1i[J(8 3a DpHJ1aIaRe Ha 3PACPE H CLOTBeTHlUI IIpaBH1IBKK Ha TY-CoqUjf
KaH]lHllaTKaTa B KOHKYpca e rrpeUCTaBHJTa laaIHTeJleH 6poii HayqHH TpYUOBe KOHTO He ca
H3IIOn3BaHH B nucepTanHOHHHjf Tprn 3a npHnOfiUBaHe Ha OHC bullllOKTOp B pa60THTe Ha
KaaJlInaTKaTa BMa OpBTBHaJIHH nayqHH H nayqao-rrpmlOgtKHH npHHOCH KORTO ca IIOrrytlRllH
MeJKllYHapOUHO IIpH3Ha1Dle KaTO npeu-cTaBHTeJIHa qaCT OT Tfi ca rryfiJlllI()BaHH B CIIHCami1I If
Hayqml cfioplJHl(H H3naneHH OT Me)Kl()HaponIDI aKaUeMUqHlf B3llaTenCTBa Teopemqmrre H
p83pa6oTKH raquoMaT npaJCI1J1leCKa rrpHnOJKHMOCT KaTO qaCT OT Tfi ea ITpjJ](O OpHeHTIlpaHU ICbM
yqe6HaTa pafioTIl HayqHaTa H nperrOllaBaTeJlCKaTa KBaJ1BqHKaIlHK Ha f1l ac ll-P KaTSI ~eBa
e OeCLMHeaa IIocmrnaTHTe OT rn ac ll-P KaTjf AmnnueBa pe3ymam B )lie6Harn H HayqBOshy
H3crrenOBaTeJJCKaTa llemOCT 0811LJ1lIO CLOTBeTCTBaT Ha cnelBpJFnIHTe H3HCKBaHIDr B
TIpamumHKa na TY-COltpIDI 3a rrpHJTOlKeBlle na 3PACPE
7
CJIen 3arr03HaBaHe c npenCTaBeHHTe B KOHKYPCa MaTepHarIH H Hayqmr TPYllOBe aHaJIH3 Ha
TJlXHaTa 3Ha1JHMOCT H CLll1gtP)KaJlR ce B TJIX HayqHH aayrmo-rrpWlolKHH H npHlJO)[(HH ITpHHOCH
YEEL(EHO llaBaM CBOjlTa nOJTOjKJflEJIHA OneHKa H npenOpL-maM Ha HayqaoTO raquoeypH na
H3rOTBH llOI(Jlaz(-rrpellJlOlKeHHe no ltbC Ha ltbaxyJITeT no nprurO)J(Ha MaTeMaTHIlta H HHqopMaTHKa
npH eXHHIeCKJ ymmepCHTeT-ColtgtHJ1 3a H360p Ha rn ac n-p KaTJl reopmeBa nmmmeBa Ha
aK3neMH1maT8 nJIL)KBOCT bullnOllen B TY-COltgtIDI no npocpeCHOBaJIHO HarrpaBJIeIfHe 4 IJpupOO1U
HayKU MameMamUKa U uHtP0pMamuKa HayqBa cnellHWlHOCT 45 MamelHamU1(a
ClucentepefllfUaJlIlU ypa6HeHUR)
25042012r PeuemeHT
(npoIP llMH CHeJKaHa XpHCTOBa)
8
IIOJIHHOMll MaTpHIUl IeTepMJUlaHTII CHCTeMB JIHEIeftmr ypaBHeHIDl ABTopwre ca CH nOCTaBWTU 3a
nerrna npeLVJOJKaT IIocofiHe KOeTO Jla cnOMorne aa cTyleHTBTe He CaMO 3a no-rreCBOTO YCBOKBaBe
Ha MaTepHaJIa no B Cb~OTO BpeMe H 3a 3aznrr6olienoTO H JlOrwIeCKOTO MY pa3finpaae Tam CH nen
Te ca $I IIOCmTBaJIH ycnenmo ICaTO ca H36eraaJIH CJlO)KlIB lOKaJaTeJlCTBa aa MaTeMaTWIeCKH
IPaKTIf a a HafinernaJIH na IIpHJTO)l(eHHeTO aa CD TBennlTe MeT01H H TeXHHKH BLPxy nolXOlVUIlo
UonpaBH H )MeJIO nOllpeAeHH npHMepH [OJUlMa qaCT OT npHMepHTe ca pemeHH a OCTaHamrre ca
llaAeHH C TeXH1ITe OTrOBopH Maoro Jl06po BrreqaTJTeHHe npaaH rpacpHlHOTO HJllOCTpHPaBe aa
1l0IDJTHJlTa H pememurra KaKTO B cneqHamnrre naparpa4m aa KpaJI aa BCBKa rnaBa B KOHTO ce
IIpaBH KpaTLK 0630p Ha MaTepHaJIa H ce )laBaT 06mu 3alallH 3a 3aTBLp)l(l(aBaae aa B3YQemur
MaTepBan BCHIKO TOBa JIaBa Bl3MOJKHOCT oa yqe6aoTo noc06He Jla 6olle ycrreIIIHo R3nOJl3BaHO
OT c1)neHTIITe B 3a CaMOCTOJITeJIHa nOllTOTOBKa IIO CbOTBeTHHTe zumOBe OT MaTeMaTHKaT3
TPeTOTO rroc06Be e c elHHCTBeo aBTOP K LBDlJIHeBa H e B eneKTpOHea BapHaHT To e
oltpopMeHo KaTO nOMOIllHO cpeJlCTBO 3a yrrproKHeHDJITa no MaTeMaTHKa 1 3a cT)neBTIlTe OT cnen
KOMlIJOTLPHH HaKH IIollToTBeHo e aa 8HTJlHHCKH elHK nopanH eCTeCTBOTO aa 06yqeHHe Ha
CTylleBTIlTe OT CLOTBeTHaTa cnequarrH CT B TOsa noco6He yMeJIO ca 03n0Jl3BaHH CbBpeMeRmrre
Bh3M02KHOCTH aa KOMIIIltgtTDpHHTe CO(1)ryepB BcJIYIKlI TeMll ca rpaIPHq]JO RJIJOCTpHpaHH KoeTO JlaBa
Bb3MOJKHOCT H 3a BH3yaJIHOTO Bb3npoeMaBe H paJ6BpaBe OT CTpaHa aa cryneHTliTe Oc06eHO
JIo6po BnelaTneHHe MIl HanpaBH H3nOiKeHHeTO B mrpepeHI(HaJIHOTO CMJIT8Be B rrO-TOrIHO npH
H3CJIel(BaaeTO aa 4gt~ CLqeTaBaHeTO aa TeOpeTIPIHlITe YMeHWI C rpaIPlIIHHTe mnoCTpaIJHR
onpelleneHO e rOJUlMa 110MOm aa CT)IeHTHTe
DonoJIHHTeITRO 6mc oroeJl$I3aJIa Ie ny6Jll1KaJIIHTe ua KaHllBJIaTIltaTa no MeTO)lBKa aa
MaTeMaTRKaTa (peneH3HpaHH no-rope) JlOnbJllIlITelIHO nOKa3BaT He CaMO npaJlt1HIeCKHTe H YMeHIDl
KaTO DpenOllaBaTerr HO 0 lJDJT601GITe H TeOpeJR1IHH rr03HaHIDI
OCBeH TOBa CPaKTLT qe KaBJlll)laTKaTa pa60TK RaTO aCHCTeHT Beqe 22 rolBHK npe3 ROlITO
e BOlHJla He caMO ynpa)KHemur HO e lena H nelltIIDl 6e3crropHO rOBOpo 3a aeiiHHTe yTBbpneHH
rr03BI(HH KaTO IIpenOJIaBaTen B 3a rreJIarOrHleCKHTe H YMeHIDl
5 OCBOBRD H3Y1HH H H3Y1HO-OpHJJOiKBB npUHOCH
me oroene)Ka Ie B T 3 npo OnHCaBReTO Ha aayqaaTa npollyKIlIDI Ha KaH1HnaTKaTa C1M
nana H JIeTaHlIHO MHeHHe 3a aeitmrre npHHOCH TYK HaKpaTKO CaMO me o606IIJ)J 1Je KaFIl(HIaTKaTa
HMa 3HaqaTeJIHB
ItaylllU npullocu B 06nacTTa Ha 1H~epeHllBanmrre ypaBHemur CBLP3amJ C IDyT-TaBaBeTO Ha
HJlKOH KalJeCT8eHH CBOHCTBa aa pemeHH$IT8 1m KaTO ce mCrrelBaT Pa3HOTHITHH
IHIPepeHlUfaJIBlil ypaBBemur
HaylHo-npWLO~lIU npuHocu
lo H3nelJBamI ca MOlleJIR OT nonyrramlOIIRaTa )UlHaMHKa ( B)l( AI Ii1 E3) gt H3yqeHa e IlI1IaMHKaTa aa 3aTBOpa Ha xBJqJaBJIHIeH npellla3HO BD3BpaTea KJIaIIaH
(IDK MOHorpa~IDI AI pa60Ta E2) )000 B o6naCTTa aa MeTOlHKaTa H3CrrelJBaH1I ca oco6eHocTIITe Ra 06yqeEmeTo no
MareMaTRKaTa 3a cry)leHTHTe-qyraquolt)leHIllf IPopMlITe H MeTOIHTe aa rrpenoJlaBaRe (BlK rl r2 U2 [(4) lncnellBaHlf ca rrOHSI II1HARTe CTpYKTYPR Ha reoMeTpJPmH nOlumUJ B
LJbJITOcpo1JHaTa llaMeT (r2) IDyqaBa ce npexoJlBIDl nepHO)l YliHJIRlIle -yaHBepClITeT
5
KaTO ca nOCOIeB1l H MepKH 3a npeOl01IJ[8aHe Ba TPYllHocnrre II rrp06JIeMJITe B T031I nepHOl
B)K fS) npWZOJICIIU npullocu pa3pa60TeBH ca KOHKpeTIDl TeME 3a 06yqeHHeTO DO MaTeMaTHKa aa
cT)JleHTIITe-qy1K)leHllH (B)I pa60TIl f4 II ll)
6 3HalfHMoCT Ha pRUOeHTe na uayxaTa D npaKTHKaTa
HaymlITe PeJYJITaTII JTonyqeRB OT KaImBnaTKaTa Tn ac l-P K )(ATII1IHeBa HMaT rOJIJlMo
3SaIeJrne 3a Pa3BHTHeTO Ha nBe OCBOBHH 06rracTH B MaTeMaTHKaTa - llHcpepeHI(IIamnITe ypaBHeHIDl
II MeTOIJHKaTa 3a TOBa rOBoplI lOIThITAIITeJIBO H OT3B)KbT Ba Te3B pe3YIITaTII B Me)Kll)HapOZHaTa
MaTeMaTIAeCKa 06maOCT H3pa3eHO Ipe3 TJIXHOTO QJITHpme KllIIJlImaTKaTa e npe1lCTaBHJIa
CDHCbK c ulITHPaBIDITa CbrJIaCRO KoiiTO lIcimI pe3YJITaTB OT 9 BayqmJ TpYJla ca ~ampamr o6mo
19 IThTB (6e3 aBTOmrram) Or TJIX 17 ca B CneIlHaJDI3BpaHH MegtpoundmYBapOllHB BayqmI ClIBCaRBJI
CpeJl MaTeMaTHQ1lTe 3a6eilll3amI II I3D01I3BaJm pe3YJITarn Ba K )(mnmeBa ca Be CaMO 6brrrapH
HO B Me)KIl)HapoJlHH MaTeMaTIlIJH uy6IIHK)BaJIH B Nonlinear Analysis Real World Applications CDHCaHRe ROCTO OMa KMDaKT cjgtaKTOP 2138 R ce Hape)l)Ja I3Me)l(l1) Dbprune 10 CITHcamuI no
MaTeMaTHKa B CBeTa CRJIHO BIleqaTJIeHHe npaJUlT I(IITIlpaBIDITa sa MOHorpaqnUITa KOflO e
ny6JUIKYBaBa npellll nO-MaJIKO OT rO)lHBa HO Beqe e 3a6eJUJ3aa8 II R3D0Jl3BaBa OT
MareMamqeCKaTa 06maOCT
OCBeH TOBS rn ac n-p Kant )(HlTIJIKeBa lIMa h-HH(eKC e 4 (CbrrraCHO Google scholar) a gshy
llH)leKC e 4 KOeTO Jlomnmrremo DOKa3Ba 3Ba1JlIMOCrra Ha pe3JITanrre H
C Ofnen OQeIDIBaBe KOJUJ1JeCTBemrre nOKa3aTemr Ha KpHTepmne 3a 3aeMaHe sa
aKaeMIlIBaTa rolMIltHOCT Jlo~eHT H 3a no-roJTIlMa rrperrre1UlOCT CbM Hanprumrra CpaBHemte
Me)lOl) MHlIHMarrHHTe lI3HCKBamIJI KbM npaBHJlHHKa 3a ycrroBrurra H pena 3a 3aeMaHe Ha
axaIleMlfIHB JlJIbgtKHOCTH B TY-COltPWI B CrrelBaTa Ta6mma
Ibm H1HcKBalUlJr npeliCTaBeHB 3a
peqeHlHpaBe
MOHorpaltpmr 1 1
06m 6pOH HaYJIDI TPynoBe 5 21
- B Tq 6pOB CTaTHH B peIleH3HpaHH CDDC81UUI 3 13
-8 VI 6pOD CaMOCTOJlTeJIHH rpynoBe 2 6
-B TI B crmcaHIDI C HMTIaKT ltp8KTOP 0 1
YIe6HH noc06IDl 1 3 (ertHo e 0 arraBB)
BOleHR B TY neKllllH rrpe3 Docneronrre 3 ro)lUHH 30 Iaca 90 Iaca
Spoil IUITHPaHIDI 3 19
-B Ti 6pOH B 1JYgtK6BHa 1 17 (ertHo e C Hltfraquo r------
YqaCTHe B Ha)IHOH3CJ1enoBaTerrcKH rrpoeKTB 2 2
6
OT rOpHaTa Ta611HIla ce BIDKla qe C npel(CTaBeBBTe 3a peIleB3HpaHe l(oKMeHTIl mac U-P
KaTJI JlHIIlJIHeBa He CaMO rrOKpHBa MmlHMarrmrre IDJfCKBaBIDI aa IIpaBB1IIIHKa Ha TY-COcpIDI 3a
3aeMaHe aa axaneMlflIlIaTa 2l1lbgtKHOCT llOIleHT HO H 3H81HTeJIlIO rn HazurnmaBa
7 KPBTHIBB 3a6eJ1e~KH H npeOOpLKH
Ilpu TlO)lIOTOBKaTa sa UOK)MeHTIITe 3a KOHKypca lIMa IDIKOH HeTOllHOCTII KORTO o6aQe He
HaMaJUlBaT Ha)1IHaTa HM CTOHuOCT HarrpHMep B CIIHCLKa C IUITHPaHIDl KaKTO H B CIIUCLKa C
rry6JIHKaIJH1f K~aTKaTa HerrpaBmmO e OT6erul3arra TH HMIIaKT cfJaKTOP HanpBMep
CilllCaHIleTO Nonlinear Analysis series B Real World Applications HMa R4gt 3a 2011 r 2138 a Re
KaKTO e oroeIDJ3aHo 2 381 CIIBcaHHeTO lnternatinal Journal aPure and Applied Mathematics Bce
oIlle WlMa 11lt1gt a He KaKTO e oroeIDl3rum Hlt1gt 00229 OCBeH TOBa B 72 OT CIDICLllta aa IUITHJgtaHIDr HerrpaBRlIHO e BaImCaHO HMeTO Ha crmCWllIeTo
8 JIH HH BneqaTJleHBJI
II03HaBaM KaTIl JlHIIImleBa nOBeqe OT 15 rolUlHH 3ano3Hax ce C Reg nepCOHaIIHO Ha
e)Kero~e MeJKIlYllapoumrre MaTeMaTHIeCIltB KOHpepeHIlHH IIO l(Hcpepe~amm
ypaBRcHlLllfnpRJIO)KHS MaTeMaTHKa B ThrOBllHB Tjf BHHanI 6eme emm OT HaB-alITHBHHTe UleHOBe
Ha opr3HH3aIlliOHHWI KOMHTeT oc06eHO npu pernCTpaqIDITa Ha yqacl1Dll(Hre a BCJIKa roruma
HMame IIOHe lTO 200 yqac1HHIIH npe)lHMHo OT qyJK6HBa OIlle TOraBa K LtmnrmeBa Me BIJeqaTJIU
He CaMO CLC CBOHTe YMeHHJI l(a opramI3Rpa H PLKOBOl(H BO H C )lhJl601Qrre CH rr03HaHIDJ B
06naCTTa Ha MaTeMaTHKaTS R C yMeHIDlTa CIf aa npeUCTaBjf p836HpaeMO CBOBTe pe3YJITaTH Tsr BHHarH e 6HJIa 11 e H3KJ1JOtmTeJIHO aKYP8ma TPyUomofiHBa H KOpeKTHa OrrpeneneHO fiHX Ka3ana
tie KaT1l JlmmmeBa e H3rpanen IIpoqeCHOH8JDICT H CLM y6eneaa qe Tjf me npOl(bJl1KaBa lla ce
pa3BHBa H yrBLpJKDaBa KaTO el(HB Me)J(llyHapOUHo npH3HaT MaTeMaTIfllt
3AKJIIOlEHIIE
JloKYMeHTHTe H MaTepRamITe rrpencTaBeHB OT rJI ac ll-P KaTjf (mmmeBa OTrOOapliT U8
H3HCKBaBJIJITa Ha 3aKOHa 3a p83BHJHe Ha axaUeMlAHWl CLCTaB B Peny6JIHKa ELlITapHJI (3PACPE)
ITpaBBJ1R1i[J(8 3a DpHJ1aIaRe Ha 3PACPE H CLOTBeTHlUI IIpaBH1IBKK Ha TY-CoqUjf
KaH]lHllaTKaTa B KOHKYpca e rrpeUCTaBHJTa laaIHTeJleH 6poii HayqHH TpYUOBe KOHTO He ca
H3IIOn3BaHH B nucepTanHOHHHjf Tprn 3a npHnOfiUBaHe Ha OHC bullllOKTOp B pa60THTe Ha
KaaJlInaTKaTa BMa OpBTBHaJIHH nayqHH H nayqao-rrpmlOgtKHH npHHOCH KORTO ca IIOrrytlRllH
MeJKllYHapOUHO IIpH3Ha1Dle KaTO npeu-cTaBHTeJIHa qaCT OT Tfi ca rryfiJlllI()BaHH B CIIHCami1I If
Hayqml cfioplJHl(H H3naneHH OT Me)Kl()HaponIDI aKaUeMUqHlf B3llaTenCTBa Teopemqmrre H
p83pa6oTKH raquoMaT npaJCI1J1leCKa rrpHnOJKHMOCT KaTO qaCT OT Tfi ea ITpjJ](O OpHeHTIlpaHU ICbM
yqe6HaTa pafioTIl HayqHaTa H nperrOllaBaTeJlCKaTa KBaJ1BqHKaIlHK Ha f1l ac ll-P KaTSI ~eBa
e OeCLMHeaa IIocmrnaTHTe OT rn ac ll-P KaTjf AmnnueBa pe3ymam B )lie6Harn H HayqBOshy
H3crrenOBaTeJJCKaTa llemOCT 0811LJ1lIO CLOTBeTCTBaT Ha cnelBpJFnIHTe H3HCKBaHIDr B
TIpamumHKa na TY-COltpIDI 3a rrpHJTOlKeBlle na 3PACPE
7
CJIen 3arr03HaBaHe c npenCTaBeHHTe B KOHKYPCa MaTepHarIH H Hayqmr TPYllOBe aHaJIH3 Ha
TJlXHaTa 3Ha1JHMOCT H CLll1gtP)KaJlR ce B TJIX HayqHH aayrmo-rrpWlolKHH H npHlJO)[(HH ITpHHOCH
YEEL(EHO llaBaM CBOjlTa nOJTOjKJflEJIHA OneHKa H npenOpL-maM Ha HayqaoTO raquoeypH na
H3rOTBH llOI(Jlaz(-rrpellJlOlKeHHe no ltbC Ha ltbaxyJITeT no nprurO)J(Ha MaTeMaTHIlta H HHqopMaTHKa
npH eXHHIeCKJ ymmepCHTeT-ColtgtHJ1 3a H360p Ha rn ac n-p KaTJl reopmeBa nmmmeBa Ha
aK3neMH1maT8 nJIL)KBOCT bullnOllen B TY-COltgtIDI no npocpeCHOBaJIHO HarrpaBJIeIfHe 4 IJpupOO1U
HayKU MameMamUKa U uHtP0pMamuKa HayqBa cnellHWlHOCT 45 MamelHamU1(a
ClucentepefllfUaJlIlU ypa6HeHUR)
25042012r PeuemeHT
(npoIP llMH CHeJKaHa XpHCTOBa)
8
KaTO ca nOCOIeB1l H MepKH 3a npeOl01IJ[8aHe Ba TPYllHocnrre II rrp06JIeMJITe B T031I nepHOl
B)K fS) npWZOJICIIU npullocu pa3pa60TeBH ca KOHKpeTIDl TeME 3a 06yqeHHeTO DO MaTeMaTHKa aa
cT)JleHTIITe-qy1K)leHllH (B)I pa60TIl f4 II ll)
6 3HalfHMoCT Ha pRUOeHTe na uayxaTa D npaKTHKaTa
HaymlITe PeJYJITaTII JTonyqeRB OT KaImBnaTKaTa Tn ac l-P K )(ATII1IHeBa HMaT rOJIJlMo
3SaIeJrne 3a Pa3BHTHeTO Ha nBe OCBOBHH 06rracTH B MaTeMaTHKaTa - llHcpepeHI(IIamnITe ypaBHeHIDl
II MeTOIJHKaTa 3a TOBa rOBoplI lOIThITAIITeJIBO H OT3B)KbT Ba Te3B pe3YIITaTII B Me)Kll)HapOZHaTa
MaTeMaTIAeCKa 06maOCT H3pa3eHO Ipe3 TJIXHOTO QJITHpme KllIIJlImaTKaTa e npe1lCTaBHJIa
CDHCbK c ulITHPaBIDITa CbrJIaCRO KoiiTO lIcimI pe3YJITaTB OT 9 BayqmJ TpYJla ca ~ampamr o6mo
19 IThTB (6e3 aBTOmrram) Or TJIX 17 ca B CneIlHaJDI3BpaHH MegtpoundmYBapOllHB BayqmI ClIBCaRBJI
CpeJl MaTeMaTHQ1lTe 3a6eilll3amI II I3D01I3BaJm pe3YJITarn Ba K )(mnmeBa ca Be CaMO 6brrrapH
HO B Me)KIl)HapoJlHH MaTeMaTIlIJH uy6IIHK)BaJIH B Nonlinear Analysis Real World Applications CDHCaHRe ROCTO OMa KMDaKT cjgtaKTOP 2138 R ce Hape)l)Ja I3Me)l(l1) Dbprune 10 CITHcamuI no
MaTeMaTHKa B CBeTa CRJIHO BIleqaTJIeHHe npaJUlT I(IITIlpaBIDITa sa MOHorpaqnUITa KOflO e
ny6JUIKYBaBa npellll nO-MaJIKO OT rO)lHBa HO Beqe e 3a6eJUJ3aa8 II R3D0Jl3BaBa OT
MareMamqeCKaTa 06maOCT
OCBeH TOBS rn ac n-p Kant )(HlTIJIKeBa lIMa h-HH(eKC e 4 (CbrrraCHO Google scholar) a gshy
llH)leKC e 4 KOeTO Jlomnmrremo DOKa3Ba 3Ba1JlIMOCrra Ha pe3JITanrre H
C Ofnen OQeIDIBaBe KOJUJ1JeCTBemrre nOKa3aTemr Ha KpHTepmne 3a 3aeMaHe sa
aKaeMIlIBaTa rolMIltHOCT Jlo~eHT H 3a no-roJTIlMa rrperrre1UlOCT CbM Hanprumrra CpaBHemte
Me)lOl) MHlIHMarrHHTe lI3HCKBamIJI KbM npaBHJlHHKa 3a ycrroBrurra H pena 3a 3aeMaHe Ha
axaIleMlfIHB JlJIbgtKHOCTH B TY-COltPWI B CrrelBaTa Ta6mma
Ibm H1HcKBalUlJr npeliCTaBeHB 3a
peqeHlHpaBe
MOHorpaltpmr 1 1
06m 6pOH HaYJIDI TPynoBe 5 21
- B Tq 6pOB CTaTHH B peIleH3HpaHH CDDC81UUI 3 13
-8 VI 6pOD CaMOCTOJlTeJIHH rpynoBe 2 6
-B TI B crmcaHIDI C HMTIaKT ltp8KTOP 0 1
YIe6HH noc06IDl 1 3 (ertHo e 0 arraBB)
BOleHR B TY neKllllH rrpe3 Docneronrre 3 ro)lUHH 30 Iaca 90 Iaca
Spoil IUITHPaHIDI 3 19
-B Ti 6pOH B 1JYgtK6BHa 1 17 (ertHo e C Hltfraquo r------
YqaCTHe B Ha)IHOH3CJ1enoBaTerrcKH rrpoeKTB 2 2
6
OT rOpHaTa Ta611HIla ce BIDKla qe C npel(CTaBeBBTe 3a peIleB3HpaHe l(oKMeHTIl mac U-P
KaTJI JlHIIlJIHeBa He CaMO rrOKpHBa MmlHMarrmrre IDJfCKBaBIDI aa IIpaBB1IIIHKa Ha TY-COcpIDI 3a
3aeMaHe aa axaneMlflIlIaTa 2l1lbgtKHOCT llOIleHT HO H 3H81HTeJIlIO rn HazurnmaBa
7 KPBTHIBB 3a6eJ1e~KH H npeOOpLKH
Ilpu TlO)lIOTOBKaTa sa UOK)MeHTIITe 3a KOHKypca lIMa IDIKOH HeTOllHOCTII KORTO o6aQe He
HaMaJUlBaT Ha)1IHaTa HM CTOHuOCT HarrpHMep B CIIHCLKa C IUITHPaHIDl KaKTO H B CIIUCLKa C
rry6JIHKaIJH1f K~aTKaTa HerrpaBmmO e OT6erul3arra TH HMIIaKT cfJaKTOP HanpBMep
CilllCaHIleTO Nonlinear Analysis series B Real World Applications HMa R4gt 3a 2011 r 2138 a Re
KaKTO e oroeIDJ3aHo 2 381 CIIBcaHHeTO lnternatinal Journal aPure and Applied Mathematics Bce
oIlle WlMa 11lt1gt a He KaKTO e oroeIDl3rum Hlt1gt 00229 OCBeH TOBa B 72 OT CIDICLllta aa IUITHJgtaHIDr HerrpaBRlIHO e BaImCaHO HMeTO Ha crmCWllIeTo
8 JIH HH BneqaTJleHBJI
II03HaBaM KaTIl JlHIIImleBa nOBeqe OT 15 rolUlHH 3ano3Hax ce C Reg nepCOHaIIHO Ha
e)Kero~e MeJKIlYllapoumrre MaTeMaTHIeCIltB KOHpepeHIlHH IIO l(Hcpepe~amm
ypaBRcHlLllfnpRJIO)KHS MaTeMaTHKa B ThrOBllHB Tjf BHHanI 6eme emm OT HaB-alITHBHHTe UleHOBe
Ha opr3HH3aIlliOHHWI KOMHTeT oc06eHO npu pernCTpaqIDITa Ha yqacl1Dll(Hre a BCJIKa roruma
HMame IIOHe lTO 200 yqac1HHIIH npe)lHMHo OT qyJK6HBa OIlle TOraBa K LtmnrmeBa Me BIJeqaTJIU
He CaMO CLC CBOHTe YMeHHJI l(a opramI3Rpa H PLKOBOl(H BO H C )lhJl601Qrre CH rr03HaHIDJ B
06naCTTa Ha MaTeMaTHKaTS R C yMeHIDlTa CIf aa npeUCTaBjf p836HpaeMO CBOBTe pe3YJITaTH Tsr BHHarH e 6HJIa 11 e H3KJ1JOtmTeJIHO aKYP8ma TPyUomofiHBa H KOpeKTHa OrrpeneneHO fiHX Ka3ana
tie KaT1l JlmmmeBa e H3rpanen IIpoqeCHOH8JDICT H CLM y6eneaa qe Tjf me npOl(bJl1KaBa lla ce
pa3BHBa H yrBLpJKDaBa KaTO el(HB Me)J(llyHapOUHo npH3HaT MaTeMaTIfllt
3AKJIIOlEHIIE
JloKYMeHTHTe H MaTepRamITe rrpencTaBeHB OT rJI ac ll-P KaTjf (mmmeBa OTrOOapliT U8
H3HCKBaBJIJITa Ha 3aKOHa 3a p83BHJHe Ha axaUeMlAHWl CLCTaB B Peny6JIHKa ELlITapHJI (3PACPE)
ITpaBBJ1R1i[J(8 3a DpHJ1aIaRe Ha 3PACPE H CLOTBeTHlUI IIpaBH1IBKK Ha TY-CoqUjf
KaH]lHllaTKaTa B KOHKYpca e rrpeUCTaBHJTa laaIHTeJleH 6poii HayqHH TpYUOBe KOHTO He ca
H3IIOn3BaHH B nucepTanHOHHHjf Tprn 3a npHnOfiUBaHe Ha OHC bullllOKTOp B pa60THTe Ha
KaaJlInaTKaTa BMa OpBTBHaJIHH nayqHH H nayqao-rrpmlOgtKHH npHHOCH KORTO ca IIOrrytlRllH
MeJKllYHapOUHO IIpH3Ha1Dle KaTO npeu-cTaBHTeJIHa qaCT OT Tfi ca rryfiJlllI()BaHH B CIIHCami1I If
Hayqml cfioplJHl(H H3naneHH OT Me)Kl()HaponIDI aKaUeMUqHlf B3llaTenCTBa Teopemqmrre H
p83pa6oTKH raquoMaT npaJCI1J1leCKa rrpHnOJKHMOCT KaTO qaCT OT Tfi ea ITpjJ](O OpHeHTIlpaHU ICbM
yqe6HaTa pafioTIl HayqHaTa H nperrOllaBaTeJlCKaTa KBaJ1BqHKaIlHK Ha f1l ac ll-P KaTSI ~eBa
e OeCLMHeaa IIocmrnaTHTe OT rn ac ll-P KaTjf AmnnueBa pe3ymam B )lie6Harn H HayqBOshy
H3crrenOBaTeJJCKaTa llemOCT 0811LJ1lIO CLOTBeTCTBaT Ha cnelBpJFnIHTe H3HCKBaHIDr B
TIpamumHKa na TY-COltpIDI 3a rrpHJTOlKeBlle na 3PACPE
7
CJIen 3arr03HaBaHe c npenCTaBeHHTe B KOHKYPCa MaTepHarIH H Hayqmr TPYllOBe aHaJIH3 Ha
TJlXHaTa 3Ha1JHMOCT H CLll1gtP)KaJlR ce B TJIX HayqHH aayrmo-rrpWlolKHH H npHlJO)[(HH ITpHHOCH
YEEL(EHO llaBaM CBOjlTa nOJTOjKJflEJIHA OneHKa H npenOpL-maM Ha HayqaoTO raquoeypH na
H3rOTBH llOI(Jlaz(-rrpellJlOlKeHHe no ltbC Ha ltbaxyJITeT no nprurO)J(Ha MaTeMaTHIlta H HHqopMaTHKa
npH eXHHIeCKJ ymmepCHTeT-ColtgtHJ1 3a H360p Ha rn ac n-p KaTJl reopmeBa nmmmeBa Ha
aK3neMH1maT8 nJIL)KBOCT bullnOllen B TY-COltgtIDI no npocpeCHOBaJIHO HarrpaBJIeIfHe 4 IJpupOO1U
HayKU MameMamUKa U uHtP0pMamuKa HayqBa cnellHWlHOCT 45 MamelHamU1(a
ClucentepefllfUaJlIlU ypa6HeHUR)
25042012r PeuemeHT
(npoIP llMH CHeJKaHa XpHCTOBa)
8
OT rOpHaTa Ta611HIla ce BIDKla qe C npel(CTaBeBBTe 3a peIleB3HpaHe l(oKMeHTIl mac U-P
KaTJI JlHIIlJIHeBa He CaMO rrOKpHBa MmlHMarrmrre IDJfCKBaBIDI aa IIpaBB1IIIHKa Ha TY-COcpIDI 3a
3aeMaHe aa axaneMlflIlIaTa 2l1lbgtKHOCT llOIleHT HO H 3H81HTeJIlIO rn HazurnmaBa
7 KPBTHIBB 3a6eJ1e~KH H npeOOpLKH
Ilpu TlO)lIOTOBKaTa sa UOK)MeHTIITe 3a KOHKypca lIMa IDIKOH HeTOllHOCTII KORTO o6aQe He
HaMaJUlBaT Ha)1IHaTa HM CTOHuOCT HarrpHMep B CIIHCLKa C IUITHPaHIDl KaKTO H B CIIUCLKa C
rry6JIHKaIJH1f K~aTKaTa HerrpaBmmO e OT6erul3arra TH HMIIaKT cfJaKTOP HanpBMep
CilllCaHIleTO Nonlinear Analysis series B Real World Applications HMa R4gt 3a 2011 r 2138 a Re
KaKTO e oroeIDJ3aHo 2 381 CIIBcaHHeTO lnternatinal Journal aPure and Applied Mathematics Bce
oIlle WlMa 11lt1gt a He KaKTO e oroeIDl3rum Hlt1gt 00229 OCBeH TOBa B 72 OT CIDICLllta aa IUITHJgtaHIDr HerrpaBRlIHO e BaImCaHO HMeTO Ha crmCWllIeTo
8 JIH HH BneqaTJleHBJI
II03HaBaM KaTIl JlHIIImleBa nOBeqe OT 15 rolUlHH 3ano3Hax ce C Reg nepCOHaIIHO Ha
e)Kero~e MeJKIlYllapoumrre MaTeMaTHIeCIltB KOHpepeHIlHH IIO l(Hcpepe~amm
ypaBRcHlLllfnpRJIO)KHS MaTeMaTHKa B ThrOBllHB Tjf BHHanI 6eme emm OT HaB-alITHBHHTe UleHOBe
Ha opr3HH3aIlliOHHWI KOMHTeT oc06eHO npu pernCTpaqIDITa Ha yqacl1Dll(Hre a BCJIKa roruma
HMame IIOHe lTO 200 yqac1HHIIH npe)lHMHo OT qyJK6HBa OIlle TOraBa K LtmnrmeBa Me BIJeqaTJIU
He CaMO CLC CBOHTe YMeHHJI l(a opramI3Rpa H PLKOBOl(H BO H C )lhJl601Qrre CH rr03HaHIDJ B
06naCTTa Ha MaTeMaTHKaTS R C yMeHIDlTa CIf aa npeUCTaBjf p836HpaeMO CBOBTe pe3YJITaTH Tsr BHHarH e 6HJIa 11 e H3KJ1JOtmTeJIHO aKYP8ma TPyUomofiHBa H KOpeKTHa OrrpeneneHO fiHX Ka3ana
tie KaT1l JlmmmeBa e H3rpanen IIpoqeCHOH8JDICT H CLM y6eneaa qe Tjf me npOl(bJl1KaBa lla ce
pa3BHBa H yrBLpJKDaBa KaTO el(HB Me)J(llyHapOUHo npH3HaT MaTeMaTIfllt
3AKJIIOlEHIIE
JloKYMeHTHTe H MaTepRamITe rrpencTaBeHB OT rJI ac ll-P KaTjf (mmmeBa OTrOOapliT U8
H3HCKBaBJIJITa Ha 3aKOHa 3a p83BHJHe Ha axaUeMlAHWl CLCTaB B Peny6JIHKa ELlITapHJI (3PACPE)
ITpaBBJ1R1i[J(8 3a DpHJ1aIaRe Ha 3PACPE H CLOTBeTHlUI IIpaBH1IBKK Ha TY-CoqUjf
KaH]lHllaTKaTa B KOHKYpca e rrpeUCTaBHJTa laaIHTeJleH 6poii HayqHH TpYUOBe KOHTO He ca
H3IIOn3BaHH B nucepTanHOHHHjf Tprn 3a npHnOfiUBaHe Ha OHC bullllOKTOp B pa60THTe Ha
KaaJlInaTKaTa BMa OpBTBHaJIHH nayqHH H nayqao-rrpmlOgtKHH npHHOCH KORTO ca IIOrrytlRllH
MeJKllYHapOUHO IIpH3Ha1Dle KaTO npeu-cTaBHTeJIHa qaCT OT Tfi ca rryfiJlllI()BaHH B CIIHCami1I If
Hayqml cfioplJHl(H H3naneHH OT Me)Kl()HaponIDI aKaUeMUqHlf B3llaTenCTBa Teopemqmrre H
p83pa6oTKH raquoMaT npaJCI1J1leCKa rrpHnOJKHMOCT KaTO qaCT OT Tfi ea ITpjJ](O OpHeHTIlpaHU ICbM
yqe6HaTa pafioTIl HayqHaTa H nperrOllaBaTeJlCKaTa KBaJ1BqHKaIlHK Ha f1l ac ll-P KaTSI ~eBa
e OeCLMHeaa IIocmrnaTHTe OT rn ac ll-P KaTjf AmnnueBa pe3ymam B )lie6Harn H HayqBOshy
H3crrenOBaTeJJCKaTa llemOCT 0811LJ1lIO CLOTBeTCTBaT Ha cnelBpJFnIHTe H3HCKBaHIDr B
TIpamumHKa na TY-COltpIDI 3a rrpHJTOlKeBlle na 3PACPE
7
CJIen 3arr03HaBaHe c npenCTaBeHHTe B KOHKYPCa MaTepHarIH H Hayqmr TPYllOBe aHaJIH3 Ha
TJlXHaTa 3Ha1JHMOCT H CLll1gtP)KaJlR ce B TJIX HayqHH aayrmo-rrpWlolKHH H npHlJO)[(HH ITpHHOCH
YEEL(EHO llaBaM CBOjlTa nOJTOjKJflEJIHA OneHKa H npenOpL-maM Ha HayqaoTO raquoeypH na
H3rOTBH llOI(Jlaz(-rrpellJlOlKeHHe no ltbC Ha ltbaxyJITeT no nprurO)J(Ha MaTeMaTHIlta H HHqopMaTHKa
npH eXHHIeCKJ ymmepCHTeT-ColtgtHJ1 3a H360p Ha rn ac n-p KaTJl reopmeBa nmmmeBa Ha
aK3neMH1maT8 nJIL)KBOCT bullnOllen B TY-COltgtIDI no npocpeCHOBaJIHO HarrpaBJIeIfHe 4 IJpupOO1U
HayKU MameMamUKa U uHtP0pMamuKa HayqBa cnellHWlHOCT 45 MamelHamU1(a
ClucentepefllfUaJlIlU ypa6HeHUR)
25042012r PeuemeHT
(npoIP llMH CHeJKaHa XpHCTOBa)
8
CJIen 3arr03HaBaHe c npenCTaBeHHTe B KOHKYPCa MaTepHarIH H Hayqmr TPYllOBe aHaJIH3 Ha
TJlXHaTa 3Ha1JHMOCT H CLll1gtP)KaJlR ce B TJIX HayqHH aayrmo-rrpWlolKHH H npHlJO)[(HH ITpHHOCH
YEEL(EHO llaBaM CBOjlTa nOJTOjKJflEJIHA OneHKa H npenOpL-maM Ha HayqaoTO raquoeypH na
H3rOTBH llOI(Jlaz(-rrpellJlOlKeHHe no ltbC Ha ltbaxyJITeT no nprurO)J(Ha MaTeMaTHIlta H HHqopMaTHKa
npH eXHHIeCKJ ymmepCHTeT-ColtgtHJ1 3a H360p Ha rn ac n-p KaTJl reopmeBa nmmmeBa Ha
aK3neMH1maT8 nJIL)KBOCT bullnOllen B TY-COltgtIDI no npocpeCHOBaJIHO HarrpaBJIeIfHe 4 IJpupOO1U
HayKU MameMamUKa U uHtP0pMamuKa HayqBa cnellHWlHOCT 45 MamelHamU1(a
ClucentepefllfUaJlIlU ypa6HeHUR)
25042012r PeuemeHT
(npoIP llMH CHeJKaHa XpHCTOBa)
8