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BECTHI1K CAHKT-I1ETEPByprCKoro YHI1BEPCI1TETA CEPl15I 10 TIPI1KJIA,n;HAH MATEMATI1KA I1H<l>OPMATI1KA TIPOIJ;ECCbI YTIPADJIEHI1.H BhITIYCK 3 CEHT5IBPh 2006 HaY'IHO-TeopeTI1'leCKI1H )KypUaJ1 Ib)J,aeTOl. C aBrycTa 1946 rO)J,a CO,Ll;EP)KAHME MaTeMaTHKa BUHozpaa06a E. M., Ezopo6 H. B., Bapano6 P. /0. MaTeMaTlf'IeCKOe MO,lJ.eJrnPonaHlfC Ka- TO,lJ.l-IOrO Y3JIa rrOJIenorr 3JIeKTpOIIHorr rrylllKlf . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 rOpb1W60U B. £P. I1I-ITerpaJI 13 paBHOMepUblX npocTpaHC'£Bax. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 rpe1Co6 M. A., Ma/l,b1C06a /0. B. ClfJIOBble If 3HepreTlf'lCCKlfe xapaKTcplfCTlfKlf yrrpyroro nOJIH y BeplIllfHhl KplfBOJIlfnerrHOrr MC)K<pa3HOrr . . . . . . . . . . . . . . . . . . . . . 17 /l.e.MbJl:lw6a B. B. O,lJ.l-IOMepnaH If,lJ.CHTlf<plfKau,lfH MeTO,lJ.OM pa3,lJ.eJIeI-IlfH . . . ... . . .. . ... . ... . . 28 /l.e.MbJl,1t06U"J, /0. K ., Mapm1Owo6 M. A. 0 ,lJ.JllfTCJIhHOCTlf Bhl'llfCJIeHlift MlfHHMaJIhHbIX CrrJIarrHOB nepBorr BblCOTbl Ha napaJIJIeJIbHOrr CHCTeMC . . . . . . . . . . . . . . . . . . . . . . . . . 32 Muxee6 C. E ., I l1031tJl,1C JI. T.I O,D,Ha HOBaH TeopeMa cyll1,eCTllOBaHlfH pelIlelllUl IleJIlfHerrHOro yPaBHCHHH B 6anaxonblx rrpOCTpancTBax ..... ... ............. .. .... .......... 38 013C.x1tHU1C06/l.. A., N!a1Capo6 A. r., Cma/l,e6u"J, A. M., /l.eMuJo6 A. B. MaTCMaTH'lCCKOe MO,lJ.eJIlfpOBaIme BH3Koynpyrlfx npOll,eCCOB nOJIlfMCpOB ...• ......... ..... . .... . 46 llpoHuHa /0. r. OIl;euKa YCTorr'llfnocTlf yrrpyrorr Tpy6hl rro,lJ. ,lJ.aBJIeHHeM KOpp03HomllilX CpC,lJ. 55 P03e1t B. B. I1rphI C KBa3lfynopH,lJ.O'ICHHbIMH lfCXO,lJ.aMH ua rr03lfIJ;HOUHbIX rpaqJax ........ 64 yaepu,o AMOC. CnorrcTBa yCTOrr'lHBOCTH ,lJ.JlH KBa3H,lJ.lf<p<pcpeUI1.lfpyeMhlx CHCTeM ........... 70 Xumpo6 r. M. 06 orrpe,lJ.eJlenUH Pa3JIO)KIIMOrr MaTplfl"l ;hl II ee IIOpMaJIbHOrr <pOPMbl 85 HlI<popMaTHKa 3y6013 n. A., Me1t'bWU1C06 r. r. 06 e,n.m-lUU,C MJIa,lJ.lUerO pa3pH,lJ.a MalIlIDIHoro 'lHCJIa ... . . . 92 Tapyw1CuH B. T. AJIre6phi C KOHC'lnorr Mcporr KOlIcTpyKTlIBlIoro lfC'-lUCJIClllf}f BhlCKa3bIBrullfrr 94 XpOHHKa B. C. HOBOCeJIOB (K 80-JIeTlfIO co ,lJ.liH pO)K,lJ.elIlIH) 106 JI. A. IIcTpocHH (K 65-JIeTlflO co ,lJ.lIH pO)K,lJ.eIllfH) ............................. .. . .... .... . 109 1 ro. 3. AJIelIlKOB . ..................... .. . ........ ......................... .. .. .. ...... .. 111 Pe<pepaThI .............................................................................. 113 B eCTHHK M3,II,ATEJIhCTBO © CaHK'l'-DeTep6yprcKoro CAHKT-fIETEPByprCKOro YHMBEPCl1TETA YHHBepCH'l'eTa, 2006

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  • BECTHI1K CAHKT-I1ETEPByprCKoro

    YHI1BEPCI1TETA

    CEPl15I 10

    TIPI1KJIA,n;HAH MATEMATI1KA

    I1HOPMATI1KA

    TIPOIJ;ECCbI YTIPADJIEHI1.H

    BhITIYCK 3

    CEHT5IBPh

    2006

    HaY'IHO-TeopeTI1'leCKI1H )KypUaJ1 Ib)J,aeTOl. C aBrycTa 1946 rO)J,a

    CO,Ll;EP)KAHME

    npHKJI~Ha}l MaTeMaTHKa

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  • CONTENTS

    Applied mathematics

    Vinogradova E. M., Egorov N. V., Baranov R. Yu. The field electron gun cathode region

    mathematical modeling ....... .......... ... .. ..... ... ......... . ........... .. . 3

    Grekov M. A., Malkova Yu. V. The force and energy parameters of an elastic field near a

    Demjanovich Yu. K., M artushov M. A. On calculate duration of minimal splines of first

    Gorkovoy V. F. Integral in uniform spaces .. ... .. ..... .. . . ........ ..... ......... . ........ 11

    tip of an undulating interface crack .............. .... . . . ... .. •... ,... . .... .... 17

    Demyanova V. V. One-dimensional identification by a separation method. . . . . . . . . . . . . . . . . 28

    height for parallel computer system ......... :................................ 32

    Miheev S. E., 1 Pozniak L. T.I A new theorem of existence of nonlinear equation solution in

    Banach' spaces. . . .. . .... . .. . . .. . . .. . . . .. .. . . .. .. . . .. . . . . . . . . . .. . . .. . . . .. . . ... 38

    Ovsyannikov D. A., Makarov A. G., Stalevich A. M., Demidov A. B. Mathematical modelling

    Pronina Yu. G. Estimation of the stability of a~ elastic tube under the pressure of corrosive

    of visco-elastic processes ...... .......... ..... ........ .. .... . ...... . .... . . . . . . 46

    environments .......... . ....... .. .... ............ .... ... . ... ......... .. . . ... . 55

    Rozen V. V. Games with quasiordered outcomes on positional graphs .................... 64

    Uderzo Amos. Stability properties for quasidifferentiable systems ........................ 70

    Chitrov G. M. On the determination of decomposable matrix and its normal form 85

    Informatics

    Zubov P. A., Menshikov G. G. Least-significant digit of machine number .. .... ..... ..... 92

    Taryshkin V. T. Algebras with finite measure for constructive proposition calculus. .. ... . 94

    Cronicle

    V. S. Novoselov (to 80th anniversary birthday) 106

    L. A. Petrosyan (to 65th anniversary birthday) ........................................... 109

    IYu. Z, Aieshkov I. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111

    Papers . .... .... ................ ..................... .... . ... . ... .... . .. . . . ............... 113

    001-002113-115116