Journal of Applied Mathematics and Mechanics 2002: Vol 66 Table of Contents

7 Pages·2002·1.6 MB·English

JOURNAL OF
APPLIED MATHEMATICS AND MECHANICS
PRIKLADNAYA MATEMATIKA I MEKHANIKA
LIST OF CONTENTS AND AUTHOR INDEX
VOLUME 66, 2002
©
PERGAMON
APPLIED MATHEMATICS AND MECHANICS
The Journal of Applied Mathematics and Mechanics is translated cover to cover (Russian original copyright:
Nauka, 90 Profsoyuznaya ul., Moscow 117864) and has been published by Pergamon since 1958.
Translation Editors:
Professor G. HERRMANN, Stanford University, CA, USA
R. C. GLASS, City University, London, UK
Panel of Translators:
P. CURTIS, R. C. GLASS, D. LOUVISH, E. L. SHORT, V. SILBERSCHMIDT
PRIKLADNAYA MATEMATIKA I MEKHANIKA
Russian Academy of Sciences
Editorial Board
V. V. RUMYANTSEV (Editor-in-Chief)
Yu. P. GUPALO (Deputy Editor)
F. L. CHERNOUS’ KO A. G. KULIKOVSKII
G. G. CHERNYI N. F MOROZOV
I. G. GORYACHEVA Yu. S. OSIPOV
S. S. GRIGORYAN L. V. OVSYANNIKOV
A. Yu. ISHLINSKII S. A. SHESTERIKOV
N. N. KRASOVSKII G. A. TIRSKII
Editorial Advisory Board
D. AKULENKO A. PD. MARKEYEV
M. ALEKSANDROV V. M. MATROSOV
A. AMBARTSUMYAN V. . MOSSAKOVSKII
I. BLEKHMAN D. E. OKHOTSIMSKII
V. BOLOTIN G. I. PETRASHEN’
L. GOL’ DENVEIZER B. E. POBEDRYA
.. V.G OL’ DSHTEIN G. Ya. POPOV
I. GRIGOLYUK V. V. PUKHNACHEV
D. IVLE\ V. L. RVACHEV
.. V. KARAPETYAN Yu. D.S HMYGLEVSKII
. B. KOLMANOVSKII G. Yu. STEPANOV
N. KOSHLYAOV S. Yu. STEPANOV
V. KOZLOV V. V. SYCHEV
N. KRAIKO V. N. TKHAI
\. LYUBIMOV V. F ZHURAVLEV
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VOLUME CONTENTS
VOLUME 66 2002 NUMBER |
F. L.C HERNOUS’ KO: The optimum rectilinear motion of a two-mass system.
L. D. AKULENKO and A. M. SHMATKOV: Time-optimal steering of a point mass onto the ssu rface of
GE SPURNS OI U OMO occ cca ce eros eles a ed cers cuits <esucaguecetnetcocssiversdei suas seattasecesvicasea seid atvee ab eaieseets
A. P. MARKEYEV: The boundedness of trajectories in the neighbourhood of the orbitally unst able
periodic motion of a Hamiltonian system
V. N. PILIPCHUK: Some remarks on non-smooth transformations of space and time for vibrating
systems with rigid barriers
A. A. KOROBKIN: The entry of an elliptical paraboloid into a liquid at variable velocity
R. R. GADYL’SHIN: The scattering of a plane wave by a trap in the critical case
A. M. TER-KRIKOROV: Perturbations from a source in a three-layer atmosphere Bitaskces
V. G. BAIDULOV, Yu. V. KISTOVICH® and Yu. D. CHASHECHKIN: Properties of the exact wave
ty Pe SOMtIONG thy he UIC ORY OF StEARIMIE: OWS 550.0<descretcsassceckencsacadnassesseniocssacoaccsceusesasiccsectisseeacesanens
I. V. STUROVA: The action of periodic surface pressures on a floating elastic platform ...........
S. P. BAUTIN and Yu. Yu. CHERNYSHOV: A flow of a heat-conducting gas analogous to a centred
GIT EAC (SNM estan ORI Sree pep arec re tegen ers PETE APT CTPEPESETE eoea r uae SDT PoRP Re TEF OP OP ETS rTe oe EET A PTERY
S. P. BAKANOV, V. ZDIMAL, Sh. Kh. ZARIPOV and J. SMOLIK: The motion of an aerosol drop ii na
thermal diffusion chamber
E. L. AERO: Dynamic problems for the sine-Gordon equation with variable coefficients. Ex act solutions.
A. G. KULIKOVSKII and A. P. CHUGAINOVA: The stability of a metastable shock wave in a visco-
elastic medium under two-dimensional perturbations ................cccccccsscsseesceseeseeseescesseesceccescencesceaceasencentees
K. S. SULTANOV: The attenuation of longitudinal waves in non-linear viscoelastic media........... Ricttces
A. P. MALYSHEV: A differential model of frequency-independent energy dissipation during vibrations
D. D. IVLEV, L. A.M AKSIMOVA and R. I. NEPERSHIN: The indentation of a flat punch into an ideal
rigid-plastic half-space under the action of shear contact stresses
R. I. NEPERSHIN: The indentation of a flat punch into a rigid-plastic half-space
Ye. V. GLUSHKOV, N. V. GLUSHKOVA and A. V. YEKHLAKOV: A mathematical model of the
ultrasonic detection of three-dimensional cracks
Contents of next issue
VOLUME 66 2002 NUMBER 2
Sergei Aleksandrovich Ambartsumyan (80th birthday tribute)
L. D.A KULENKO: Higher-order averaging schemes in systems with fast and slow phases .................
A. S. SMYSHLYAYEYV and F. L. CHERNOUS’ KO: The equilibrium conditions of a rod on a rough
T. V. RUDENKO: The stability of the steady motion of a gyrostat with a liquid in a cavity
V. I. KALENOVA and V. M. MOROZOV: The stability of steady motions of non-holonomic Chaplygin
OALP 10 Sepreerrone cto vr pete eryp PrTh ecaareyearery Orsr ovesS ee eo Ute r RPer reo PUneeP ream Tryr oleR ayC orTe At THON Pye PEE epee errr, TAT
O. I. KOSTYUKOVA: A parametric convex optimal control problem for a linear system
G. A. KURINA: Asymptotic expansion of solutions of optimal control problems for discrete weakly
MI RMN Anes NN cares crits ae cbs as ees tatna es Peta cs cpoabcnghessetacnes ostuscacucacexsasts cose 7éc ukacxanieduaetess isesdonsidesaastaneases
V. A. VAKHRUSHEV and V. N. USHAKOV: A computer realization of control-with-guide procedures ..
D. A. VAGIN and N. N. PETROV: A problem of group pursuit with phase constraints
A. Sh. KUCHKAROV and B. B. RIKHSIYEV: The possibility of avoiding an encounter in a linear
differential game of evasion
A. A. GURCHENKOV: The unsteady motion of a viscous fluid between rotating parallel walls
I. 1. DEMCHIK: The modelling of cyclic filtration and variable-rate filtration
transition from a discrete elastic medium to a
1 of fictitious absorption
ysics for a multilayered inhomogeneous half-space
V. SAAKYAN: The asymptotic solution of the three-
plates of incompressible materials
roblems for an elastic layer
elastic bodies containing screw dislocations ......
ns of the first and second initial-boundary-value
1 for time-dependent linearizations
ng gyroscope.
distributed parameters and
1-autonomous Hamiltonian systems
nomous Hamiltonian system close to a system with
ves in circulatory systems..
quations in case of three linea
ition of a heavy body with a viscous
ses In Burnett's approximation
describing the effective permeability
Saint
4 1. A. I ¢ GUSAET]N KOVA: I ) 9 ) nitt ia i+ incuons in' prt oblie
ith
Ye. V. DIDENKO ; vu. A IN Che critical modeso f oscillationo f
> with i periodic u l <aecee
SELOKON’, A. V. NA DKIN and A. N. SOLOV’ YE\
dynam inalysi wes
I. 1. ARGATOVN nd NAZARO Ener: y reiease caused
inisotropic soli
J.R. OCKENDON anc
science and Industry
The Fourth International Symposium on Classical
Contents of next issue
Announcement Peer
;ev Aleksandrovich Galin (on the ninetieth anniversary of his birth)
’. F. ZHURAVLEV: A model of the mechanism of motion of a snake...... eects Riad
‘ V. KHOLOSTOVA: The periodic motions of a non-autonomous Hi umiltonis in system with two degrees
of freedom at parametric resonance of the fundamental type sisepeidacteveres eioogeass 4h
I. M. ARKHIPOVA: Steady motion of a rigid unbalanced rotor in non-lineat elast ic bearings Bets
E. K. KOSTOUSOVA: Outer polyhedral estimates for attainability sets of systems with bilinear uncertainty
S. M. ZEN’ KOVSKAYA and A. L. SHLEIKEL’: The effect of high 1-frequency vibration on the onset of
Marangoni convection in a horizontal liquid layer vas
O. B. KHAIRULLINA: The initial stage of collapse of symmetric gaseous prisms
V. A. KOVALEV: Matching of asymptotic approximations in the problem of the
waves by an elastic spherical shell ee
Yu. N. SANKIN and A. Ye. TRIFANOV: Axisymmetrical vibrations of ‘lution under abrupt
loading eee
A. KAPANADZE: A problem of the bending «o f or a d1o ubvlAlyy- connecmtMeecdt e }d omainn bohuonnidineded by
polygons
E. 1. GRIGOLYUK and Ye. A. LOPANITSY N: The axisymm etric postb} uc. klLli;n g y beha+ viour of sh} allow
spherical domes aa ieee
V. M. ALEKSANDROV and D PC ZH, ARSKII: The problem of an inclusion in a three-dimensional
elastic wedge ee ;
V. M. ALEKSANDROV and F. V Kt DROVA: Anee xact solution of tl le periodic contact problem for an
elastic layer taking wear into account ..
I. 1. ARGATOV: The pressure of a punch with a rounded edge on an elastic half-space
R. D. BANTSURI and N. N. SHAVLAKADZE: The contact problem for an anisotropic wedge-shaped
plate with an elastic fastening of variable stiffness
V. S. NIKISHIN: Axisymmetric contact problems for a two-layer elastic half space with an annular o1
circular crack at the interface of the layers
G. Ya. POPOV: Exact solutions of some mixed problems of uncoupled therm« i truncated
hollow circular cone with a groove along the generatrix..... ;
G. Ya. POPOV: Exact solutions of some mixed problems of uncoupl
hollow circular cylinder with a groove along the generatrix is undaseteesteetexteets
D. BARDZOKAS and M. I. FIL SHTINSKII: The antiplane problem of electroelasticity for a cylindet
with a tunnel crack excited by an arbitrary system of surface electrode
Vladimir Nikolayevich Rubanovskii (7 February 1941-22 March 2002)
Contents of next issue
2002 NUMBE
L. D. AKULENKO, S. A. KUMAKSHEV and S. V. NESTEROV: Effective numerical—analytical solution
of isoperimetric variational problems of mechanics by an accelerated convergence method..
Yu. I. BERDYSHEV: A problem of the sequential approach to a group of moving points by a third-order
non-linear control system
G. I. IBRAGIMOV: A problem of optimal pursuit in systems with distributed parameters...........
K. V. KORLYAKOV and A. G. CHENTSOV: An example of the construction of a multivé ilued ¢qu asi
strategy by iterative methods
O. R. KAYUMOV: Globally controllable systems of rigid bodies with severér al stable rest states
V. G. VIL’KE and A. V. SHATINA: Slow dissipative evolution of the motion of a viscoelastic sphere in
the restricted circular three-body problem
A. N. KRAIKO: The formulation of problems of lubrication theory for journal bearingS.................:e8
V. G. ZHARINOV: Exact solutions of problems of the three-dimensional flow of ideal viscous incompressible
fluids near cylindrical surfaces
V. V. ALEKSEYEV: The form of the loss of stability of a boundary layer on a flexible surface at high
Reynolds numbers
V. LATYSHEV and A. A. YUSHKANOV: Smoluchowski’s problem for molecular gases taking the
accommodation coefficients of the translational and rotational energy of the molecules into account ..
A. S. MILYAYEV: The action of a concentrated force inside an elastic half-plane with a step
V. K. LASHCHENOV: The steady motion of an elastic cylinder compressed by a fixed shell
H. S. KIT, V. V.M YKHAS’SKIV and O. M. KHAJ: Analysis of the steady oscillations of a plane absolutely
rigid inclusion in a three-dimensional elastic body by the boundary element method
S. N. GAVRILOV and D. A. INDEITSEV: The evolution of a trapped mode of oscillations in a “string
on an elastic foundation—moving inertial inclusion” system
V. M. ALEKSANDROV: A method of solving the integral equation of plane contact problems for semi-
bounded bodies
V. B. ZELENTSOV: An asy mptotic 1
of elasticity for a strip ....
Corrigenda ..
Contents of next issue
VOLUME 66 2002 NUMBER 6
Nikolai Gur’ yevich Chetayev (on the 100th anniversary of his birth) 859
Vladiritir Nikolayevich Koshlyakov (on his 80th birthday) 867
Vladimir Mefod’yevich Matrosov (on his 70th birthday) 869
V. V. RUMYANTSEYV: Integral variational principles in Poincaré and Chetayev variables 873
V. F.Z HURAVLEYV: The normal form of perturbations of non-linear oscillatory systems 881
\. P.- MARKEYEYV: An algorithm for normalizing Hamiltonian systems in the problem of the orbital
stability of periodic motions 889
N. V. DENISOVA and V. V. KOZLOV: Steady motions of a continuous medium, resonances and Lagrangian
turbulence 897
A. G. PETROV: A parametric method «of constructing Poincaré mappings in hydrodynamic systems ...... 905
‘V . S. SERGEEV: Stability in systems with aftereffect when there are singularities in the integral kernels.. 923
S. Ya. STEPANOV: Symmetrization of the sign-definiteness criteria of symmetrical quadratic forms...... 953
G. CANTARELLI: The stability of the equilibrium position of scleronomous mechanical systems.......... 943
A. S. SUMBATOV: A formula for the reactions of ideal constraints 957
\. V. KARAPETYAN: The steady motions of a heavy ellipsoid filled with liquid on a plane with friction.. 963
Yu. D. GLUKHIKH and V. N. TKHAI: Parametric resonance in the problem of a heavy rigid body rolling
along a straight line on a plane é 971
N. B.G RIG YR°YEVA: The stability of Riem: inn ellipsoids in the Lyapunov formulation 985
Yu. F. GOLUBEV: Motion with a constant velocity modulus in a central gravitational field 1001
Contents of next issue
Volume Contents/Author Index for Vi rom1 e 66.
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