"Vestnik St. Petersburg University. Mathematics"

Series "Mathematics, Mechanics, Astronomy"

Issue 1, 2005
CONTENTS
Mathematics
N.Alekseyeva, A.Alekseyev, Yu.Vakhtin. The inductance problem in the Hardy-Weinberg principle and direct-dual conjunction of the Markov processes on finite geometries 3
P.Yu.Bessonov, V.V.Nekrutkin. Propagation of chaos for Kac particle systems with deterministic number of jumps: the rate of convergence 13
Yu.Ê.Demjanovich, A.Z.Zinovyev. Error evaluation for some interpolation problem. 22
S.M.Ermakov, E.G.Burnaeva. On cubature formulae multicriterial problems 27
N.Ê.Krivulin. The growth rate of the state vector in the generalized linear dynamical sys-tem with a random triangular matrix 33
G.A.Leonov. Global stability of nonlinear non-autonomous systems 39
A.K.Ponomarenko. Two cubature formulae for the cube 43
Î.A.Tarakanov. Non-sensitivity and limit-non-sensitivity properties for dynamical systems 48
Ò.Ì. Tovstik, I.A.Vinogradova, V.A.Myshenskaya. On Simulation of the Isotropic Ho-mogeneous Random Field in R3 56
Mechanics
Yu.Z. Aleshkov. On the motion of a rigid body in the viscous fluid 63
Yu.N.Voroshilova. The structure of plane shock waves in vibrationally non-equilibrium gas 70
S.N.Kirpichnikov, M.V.Ivanova. Minimum-fuel impulsive transfers between circular co-planar orbits 79
E.V.Kustova, L.A.Puzyreva. Specific heat in vibrationally non-equilibrium carbon dioxide 87
I.N.Makarenko, S.Â.Filippov. Buckling of a thin cylindrical shell joint with an annular plate 94
I.A.Pasynkova. An influence of bearings clearance on the rigid unbalanced rotor conical precessions 103
Sh.Kh.Soltakhanov. Determination of generalized controlling forces in a mixed problem of dynamics 111
Astronomy
V.V.Vityazev, A.K.Shuksto. Analysis of Proper Motions with Vectorial Harmonics 116
L.L.Sokolov. On the N-Body Problem Solution in a Domain of Large Energies without Collisions 125
 
Chronicle
Dedicated to the 100th birthday anniversary of Professor K.I.Strakhovich		 138
Summaries 141
Editorial Board of the Complete Journal.
Editor-in-chief:   L.A.Verbitskaya.
Associate editors:   I.V.Murin, V.N.Troyan.
Editorial board:   N.A.Belyaev, S.G.Inge-Vechtomov, A.G.Morachevsky, V.T.Ryazanov, R.V.Svetlov, L.E.Smirnov, P.E.Tovstik, I.Ya.Froyanov, T.N.Peskova.
Secretary of the board: A.V.Suvorov.
Editorial Board of the Series "Mathematics, Mechanics and Astronomy".
Editor-in-chief :   P.E.Tovstik
Associate editor:   N.N.Petrov
Secretary of the board:   T.V.Voloshinova
Editorial board:   T.A.Agekyan, S.M.Ermakov, G.A.Leonov, N.F.Morozov, I.P.Mysovskikh, V.S.Novoselov, L.A.Petrosyan, V.A.Pliss, N.N.Uraltseva, B.V.Filippov, K.V.Kholshevnikov.
Address of the editorial board:  198504, Peterhof, Universitetsky pr., 28.
Translation of articles for a journal “Vestnik St. Petersburg University Mathematics” is performed by E.A.Gurmuzova.
Editor T.V.Semenova.   Technical editor A.V.Borshcheva
Phones: 328-97-84, 323-76-30, 328-21-64. E-mail: ts@ts2340 spb.edu