Table Of Content

VOLUME CONTENTS VOLUME 68 2004 NUMBER 1 CONTENTS V. S. GALKIN and V. A. ZHAROV: Exact solutions of the Boltzmann—Maxwell kinetic equation .......... I S. P. BAKANOV: The nature of thermophoresis of highly heat-conducting bodies in gases .................6.. 25 N. D. BERTYAYEVA and V. B. PEN’ KOV: The solution of mixed problems of the theory of elasticity fOr AN GMISOEPODIC HAM-PIGHE ONG COUPTION HAM-PIANES............0.0..0ccecesersverrsonssorcrececssseegneoporencssesstecsnceoeseese 29 G. Z. SHARAFUTDINOV: Stress and concentrated forces in thin annular plates....................:::ccccseeseeeeees 39 A. A.M OVCHAN and L. G. SIL’CHENKO: The stability of a plate of shape-memory alloy in a direct Ca acceso sted snes nevernna sieved ele iran Raaliciaes eaeiieneoeUbuwiadenhbdanenin uiendlegia dears cueeumcs 53 V. I. KONDAUROV: The Clausius—Clapeyron equations for phase transitions of the first kind in a NN itt eters iesipnigvendipistadskshees atese iisiaemitbedest GohcresenNis Woes edaendbthin edeesa bd dbcnian baddt eens 65 R. Ye. LAMPER and V. Ye. LEVIN: The finite element and boundary element methods in problems of GR Bennet OE UMC: WR WYU e Be TI oes sce ceserenivecsscussupenapinnnedecoicsonahsstonsancaneveveddedestasdunnccaresoes 81 A. I. BELOUSOV and V. L. PRISEKIN: A numerical investigation of the stability of a multichannel Re ee ee I Oe I ices ccsceciscittens sivsnorntannnvesnsdinioasceibbinrspudndastuovavasiipasninionence 87 I. I. ARGATOV: The method of averaging in a contact problem for a system of punches ....................66. 93 V. B. ZELENTSOV: Transient dynamic contact problems of the theory of elasticity with varying width Pe a ee inners bahia eee pileicn toh sa bicadaiinaii sige ei tls tance datnchicabiiccivlhasda a deciisbedisbniaal 105 Yu. V. NEMIROVSKII and A. P. YANKOVSKII: Equistressed reinforcement of Kirchhoff plates for I I I isis ciitiscocectanccan se caesisntaaneecennd aie atena gh detodhnitindinsiaetinndctiieemnens 119 S. I. SENASHOYV: Plastic flows of a Mises medium with helical symmetry ................cccccceeeseseeeeeeeeeeeeeees 133 V. K. LASHCHENOV and B. M. NULLER*: The steady motion of a crack in an elastic strip (homogeneous ID idhinscssnseshiviestahsinerincieecnoneduaraens iualsieawdaiooiieissicaepsiiseslahsahaebenakbeoaildl (iii die cishadajGseaai eaea ie 139 V. F BAKIROV and R. V. GOL’ DSHTEIN: The Leonov—Panasyuk—Dugdale model for a crack at the UE Tree ee Wr II oscare scasrstes ss ccs creer se cance vee aderaseantenserturmentcegeepiocanrasnents 153 A. O. VATUL’ YAN: The determination of the configuration of a crack in an anisotropic medium .......... 163 PE TI isi sticansis ects tda nicer cshanenscndencsnsciqveccceiggec aii BAA cia esspachesenidabnaieldaaatuiords daakbessannasebesephernates 171 Cocenccans OE Rt SAGE, (62.85 chests ciessy tv tlnpde ni kth lerehadee dba ted shin Dies she Eh tee I VOLUME 68 2004 NUMBER 2 CONTENTS V. I. KALENOVA and V. M. MOROZOV: The stability of the steady motions of non-holonomic mechanical systems wits cyclic Conriimates .e..1,...6s0i2. 2S ak, ak ais. Ua SR SL A bem 173 A. A. ZEVIN: A new approach to the theory of the stability of linear canonical systems of differential equations With periodic COCTHICIONIG......................cscsscscssssoserserscecsorsnrensccesscnuehanesbtdashasmddiseendassieandcsve bsleydean s 183 W. KLIEM and A. P. SEYRANIAN: Metelitsyn’s inequality and stability criteria for mechanical systems.. 199 N. B. GRIGOR’ YEVA: Weakening of the sign definiteness condition for the derivative in some theorems of Lyapunov’s second GeCtnOd 5350.5. i6issh eR) LAR OSSULLik abL Lia ee Dla ded oo tdS ass 207 V. N. TKHAIT: Cycle in a system close to a reSOMaNCe SYSLEM .........cccececeeeereeeeseseeeeeeenteeestenneeeeeneeetenneeeeneees 223 L. D. AKULENKO, L. I. KOROVINA, S. A.K UMAKSHEV and S. V. NESTEROV: Self-sustained oscillations of Rayleigh and Van der Pol oscillators with moderately large feedback factors ................ 241 A. P- MARKEYEV: The pendulum-like motions of a rigid body in the Goryachev—Chaplygin case ........ 249 A. S. KOVALEVA: Near-resonance frequency control in the presence of random perturbations of REE ERT ET = Rickee LNA SAR 9 Ae NC et i,“ RE RRR. Aor OS TES. PEE, re Pe ee 259 D. V. BALANDIN, M. M. KOGAN and A. A. FEDYUKOV: Optimum damping of the oscillations of a pendulum with uncertain external and parametric perturbations...............ccccceceeeeeeeeeeeeeeseeneeeeeeeeeeeeeeeseeeees 269 A. M. SHERMENEV: Non-linear long waves in problems with axial SyMMetry .............c:::cceeessseeeeeeeeeeees 279 I. S. ZHUKOVA and A. I. SAICHEV: The properties of clusters of impurity in a turbulent medium ...... 289 E. V. TEQDOROVICH: The renormalization-group method in problems of mechanics .............0:::cceeeeees 299 haha siilr reniph asics tas tacedi ee slgataceaabemagtieeatacain’ apebabeibesaganianin vapid ida ceegoes puabibg ppp inane anneeapn paawnnblaniniiet 327 aN SO UU tin iradshdheacaroiteis canycksaspeanitbnpeaasnn anseedy (eose tPEaEnR eOsRaR riesph eese spohcsaisssechnye eemhot es | VOLUME 68 2004 NUMBER 3 CONTENTS V. V. KOZLOV: Linear systems with a quadratic integral and symplectic geometry of Artin spaces ........ 329 V. N. TKHAIT: Resonant Lyapunov families of periodic motions of reversible systems ..............:..::eeeees 341 A. G. PETROV: Invariant normalization of non-autonomous Hamiltonian systems ..............:ccceeeeeeeeeees 357 O. V. KHOLOSTOVA: Periodic motions of a close to dynamically symmetrical satellite in the neighbour- I ecg tai age todos nannipaainisn cinta innesiieadiashneevense 369 A. M. TER-KRIKOROYV: Internal waves in the middle layer of a three-layer atmosphere from sources AT Te COE eR IR A REEL TOC PERE OSE ERED D 53S CERO ED ECON Te WOT Le ER RT Reo EE 387 M. A. DAVYDOVA and Yu. D.C HASHECHKIN: The structure of three-dimensional periodic boundary Sempern aa -ai ocmmnrnny ett Finh iin asics stin psa sens aed ccsnncnnisanais Sncihbnnbhasbsensssbassunsbnsnindsiessese 39] FE. K. LAVROVSKII and V. V. FOMINYKH: The equilibrium shapes of lenses taking the actual gravita- NE BONG EEN BE CCCI assis nssicann atch dbdrdenssonssnsansvarvcannarvenbonnastepondsanesdyssdetaagdenna ebaerdnss 399 A. V. ORESHINA, I. V. ORESHINA, B. V. SOMOV and N. I. SHAKURA: A two-dimensional model of the magnetosphere of a compact star with an accretion GiSC ...........cccccsscceseceeenseessecesseeeseeceteeeeeeeesenees 405 O. Yu. YEFIMOVA and N. A. KUDRYASHOV: Exact solutions of the Burgers—Huxley equation............ 413 S. P. BAKANOV: The dynamics of a small drop in a thermal diffusion chamber ................::cccceseseeseeee 42] L. A. TKACHEVA: The diffraction of surface waves by a floating elastic plate at oblique incidence ...... 425 V. P. MYASNIKOV«@ and V. M. SADOVSKII: Variational principles of the theory of the limiting equilibrium OE CRNRIUes WISIN NENG OUR ies ics'cdsccasceniesovsasssvonsonnsnesuoneseinJGshe orQabnbcLisGePaEngebGbiedadbs eA4dElb G 437 O. D. PRYAKHINA and A. V. SMIRNOVA: An effective method of solving dynamic problems for layered media with discontinuous boundary CONItIONS..............ccccccccssceesceesecesseesseeeseesseeeseeeseceeeeseeeeaeeeseceneeenseenes 447 L. M. ZUBOV: Large deformations in the three-dimensional bending of prismatic solids ...............:00+ 455 V. M. ALEKSANDROV and D. A. POZHARSKII: Three-dimensional contact problems taking friction and NObama clmniness Imo BocOunt. <. as AAAAIM OR. Ad M O SU, 463 Contents of next issue SOOTHE EEE HEHEHE EEHEH EE EEE HEHE EE HEHEHE EEE HEHE EEE EEEEEEEEEEE EEE EEEEEEEEE HEHEHE EEEEEHEEEEEEEEEEEEHEEEEEHEEEEHEEEHEHEHEHEEES VOLUME 68 2004 NUMBER 4 CONTENTS FIT sichaiss sin-a lhienicieseyniancerantanicndaiiadile iebdahaueeeaceads dintdeasts unpaateebsiichesedeieapesepnednantereniitowineietknsioenesumcentesumusients 473 Nikolai Nikolayevich Krasovskii (80th birthday tribute) .0..........ccccccccseccesseceecesseecessseecceseeesseccesseeecesseeeens 475 A. B. KURZHANSKII: The problem of measurement feedback control ...............c::cccccsessecessseeeeeesenseeeeeees 487 F. L.C HERNOUSK’O : Optimal control for a class of systems subjected to disturbances ...................005 503 A. G. CHENTSOV: The method of programmed iterations in abstract control problems .....................0006+ 511 R. GABASOV, N. M. DMITRUK and F. M. KIRILLOVA: Optimal conditionally-relative observation of ee ES SU IE reerenensicstnarseuey 11s dob cedars analsclectnese- bat estiorieinguseera: adsl ba 523 D. M. OLENCHIKOV: Global controllability of sampled-data bilinear time-delay systems...................... 537 A. A. MELIKYAN: Primary strategies of simple pursuit in differential games on two-sided plane figures.. 545 D. A. VAGIN and N. N. PETROV: Pursuit of a group of evaders in the Pontryagin example.................... js N. Yu. LUKOYANOV: Strategies for aiming in the direction of invariant gradients ...............cc::cccceeesseeees 561 S.A. BRYKALOV: Continuous single-valued strategies in evasion problem...................ccscccessseeeeeeeeseeeeees 575 V. S. PATSKO: Switching surfaces in linear differential games with a fixed instant of termination .......... 583 Ly, V~ AI RGAR Eee OE Ds, PR. PEs ORES, DMUNUUROMIINE MEINE 5. 5s ssciconsnngnesscapunsepasonvseuinrspesionvasensvopeaseepeaeparena 597 A. S. ANDREYEYV and T. A. BOIKOVA: The stability of the unsteady motion of a mechanical system.. 607 M. I. ZELIKIN: The solution of Riccati’s equation as the Hessian of Bellman’s function ...................... 617 AL. DD, WET SEERES. BSC SEEUIPUOOL CERCEUUE SYGUET WITT TOEMMMUNON cnc. ccccecsssinscscccrcceoscspedeccocnscssonsgeecosousvesevecees 623 Fe eeeeneenee tC NNN OUI Salt EE WIN oo oooh cacacercrapsrucarercgabarcsvdeesreec éegsrvecpesvvoosstaesnesesuroscetens’ 629 gg Retlemidbcet tae meat oP rcs nk. Rdalinbne apy ceci sy RB Me Birt el Artes AO oa SA Rioerd ihr eee fi 630 VOLUME 68 2004 NUMBER 5 CONTENTS S.A. VDOVIN, A. M TARAS’ YEV and V. N. USHAKOV: Construction of the attainability set of a Bracks te eae. ee SE Ack REINER ras ech onsderieteeciatesAsieteheth Alieseeten, 631 G. Ye. IVANOV: Differential games with ellipsoidal pemalties 2.0.0.0... cececccsessseeeeesseeeeeeeseeeeeesenseeeeeenseees 647 A. A. CHIKRII, G. Ts. CHIKRII and S. D. EIDEL’ MAN: Linear fractal games of pursuit ..................06 665 V. I. MATYUKHIN: The controllability of non-holonomic mechanical systems with constrained I ia ih iieiecccccseinisecinhirincnniandas iitaa: tMaekna iinsniinncsiiiisnnsiannnncvgeca deApNDl iUis e 675 D. K. ANDREICHENKO, K. P. ANDREICHENKO and T. Yu. PETROVA: Dynamic modelling of a POAT Ve GinCTOte-COMTAMOUS BYBUOM «....05.050000c0cesescscsscentcsonenesnrscsnicnsescesanrsnnsaanpsnnennsssonssneretonsenes 691 A.S. KOVALEVA: Frequency and phase control of the resonance oscillations of a non-linear system I I iii ici ics sucicseasansntnsvianp kb Rig Meaneib devenssatennnsseniansebuvssisevsaveseasvatoanioves 699 L. D. AKULENKO: Optimal control of motions of a bifilar pendulum .............:ccccccceesseeeeeeesreeeeeeseeeeaeees 707 Yu. F. GOLUBEV and A. Ye. DITKOVSKII: The control of an elastic manipulator taking into account Oa GE I isis caine cern ce Ngati patee anc ececeseesasnsonsesataneseisesadénstanecevecees 719 A. S. BRATUS’ and K. A. VOLOSOV: Exact solutions of the Hamilton—Jacobi—Bellman equation for problems of optimal correction with a constrained overall control reSOULCe .............:cceeseeeseeeeteeeeteeeneees 731 A.N.SIROTIN: The problem of power-consumption-optimal reorientation with simultaneous retardation of a spherically symmetric body with an unspecified time .............:cccssceeesssesseeeseeeeseeeeeseeeenes 743 MPT AAO Ste BWUAG: TOTRTIIETTIC TODOTOICE oii aici LA, Baksh. ne csccsccesersnscrssccsnconscceseoosenes 757 V. S. SERGEEV: The limit periodic motions of certain systems with aftereffect ............ccccceessseeeeseeeeeees 765 A.A. BUROV: The necessary conditions for the stability of steady motions of systems with constraints I ED I I sis icassaincs savennsnahnactcch nsaxcenstebdinbyenacsneabeviensbasiaiseisasseencnonnasnidnse ss 777 A. P. LEUTIN: The extremal property of the constraint reactions of systems of connected bodies .......... 785 Yu. P,B YCHKOV: The rolling of a rigid body on a MOVING SUTFACE................ccccesescrrrecssseecsssssreserseseeeees 793 I a ae Lid aus ale a cise ahaa saabw b sac udatakvonteincugneveansie I VOLUME 68 2004 NUMBER 6 CONTENTS V. V. KOZLOV: Dynamics of variable systems and Lie QrOuUpS ...........csscscseeseeeseeesssesseeessessseceesseeeeeeees V. N. KOSHLYAKOV and V. L.M AKAROV: The stability of non-conservative systems with singular Matrices of ciigaipative RINGO 20.1 WTR AINA RT AR ad sted abba Seadervebovedin V. I. KALENOVA, V. M. MOROZOV and M. A. SALMINA: The stability and stabilization of the steady motions of a class of non-holonomic mechanical SySteMS ..........ceeeeesseeeeteeeseeesseeeseeeeseeeeeeeens G. A. LEONOV: First-approximation instability criteria for non-stationary linearizations ................ I. 1. BLEKHMAN and N. P. YAROSHEVICH: Extension of the domain of applicability of the integral stability criterion (extremum property) in synchronization probleMS ....c.ec.e .eee.eee.seee.een.eeee.see es Yu. G.M ARTYNENKO: The theory of the generalized Magnus effect for non-holonomic mechanical recipes ccanncarsesesteruincscnccnsntaedlpigetnccoianiapeasissncrogtesaspusscesnvemrewtegr- tretpoeuatp iibcepctraasinein oscpnimenls A. A. BUROV: The “restricted” formulation of the problem of the motion of a heavy rigid IE senshcctedivocveianiniecacaiekaataindtesndiniianonpntjitebd iiigentciaentinhciocmhaiaatiaabtihaiineiiimiepmdrnaidvibaonnEst itcoanriennstt Ye. K. UZBEK: A new solution of Kirchhoff’s equations of the problem of the motion of a gyrostat ROTOR GOR OY COCCI BOG BIN, BOS rebiscinnsureuingienasrinesnecet pentniaipe S. V. CHAIKIN: The stability of a family of non-trivial equilibrium orientations to the attracting centre Se Sr Or IN MINE: icai s eciitehinitSeniitasncnicsdlinc iaestea hiiTa baani eicieiigiteithaiiiinibapwiaainiseeieiinadhiecner e N. V.D ERENDYAYEYV and I. N. SOLDATOV: The stability of the steady motions of a rotor system SO as cciclestc scence unectchcorcenouneuiasaahinadaoucaunaiannsRavahatenidevemsicies A. V. KARAPETYAN, V. A. SAMSONOV and T. S. SUMIN: The stability and branching of the permanent rotations of a rigid body with a fluid filling oo... eeseeeeeeteeeseeeeeeseeeeeeeesneeeneseneees V. S. ASLANOV and A. V. DOROSHIN: The motion of a system of coaxial bodies of variable i aiicsaacrhreitana heen aiciedienaetadclctah kieran ae atceeiehineripennasadeloniinnlicbinigainnectnnnens V. G. VIL’KE and I. F KOZHEVNIKOV: The rolling of a wheel with a reinforced tyre along a plane ES Eee TERE”, | | EN naT een nnn amT «<4 ae Fy P. M. BELOTSERKOVSKII: The interaction of an infinite wheel-train with a constant spacing between the wheels moving uniformly Over a rail track .0....... eee eesecsteeeeesseceessecesssceeeseceeseseeeenseeesees A. B. KISELEV, A. V. KOKOREVA, V. F. NIKITIN and N. N. SMIRNOV: Mathematical modelling OF (5 REC TIE OG CORONO G BODIE resis cerss cenes vik por deeb cheoi sede denrnte toh cab skid ohne desticdebaes tarsaghtboieoon D. V. GEORGIYEVSKII and B. Ye. POBEDRYA: The number of independent compatibility equations.in the mechanics of deformable Sle picicsdesdnakeinccavsiseventdnpenncsepsnncnso-deshacacsneaedenetcceprdiecsde s D. V. DOLGIKH and V. V. KISELEV: Transverse corrugation solitons in a three-layered non-linearly elastic medium PESOS HESS E EE EE EEE EEE SESH EEE EEE EEE EEE EESEEE SHEE EE EEE EE EEE EEE SESE EEEE EES ESSE SEES EEE EEE SESE EE EEEEEESE EEE EEEEE SEES EE EEEEE EE EEEES POPPE SEETHER EEE HEEE EEE SEES EE EES EEE EEE SEE EE EEE EEEEEEEEEEEEEEE SEES EEEE SES EE ESE EEEEEEEEEESESEEES HEHE SEES EE EEEEESESEEEEEEEEESEEEEEES