"Vestnik St. Petersburg University. Mathematics"

Series "Mathematics, Mechanics, Astronomy"

Issue 2, 2005
CONTENTS
Mathematics
Bart A.G., Scherbakova I.S. Recurrent Relations for Partially Inverse Matrices 3
Dodonov N.Yu. On uniform approximation in R2 of continuous banach-valued functions 11
Gelig A.Kh., Zuber I.E. Invariant Stabilization of Time Varying Control Systems with an External Action 25
Katina A.B. Inverse weak shadowing properties for linear systems 34
Krivulin N.K. On evaluation of bounds on the mean growth rate of the state vector for the linear stochastic dynamical system in idempotent algebra 45
Kuznetsov N.V., Leonov G.A. Criteria of stability by the first approximation for discrete nonlinearsystems 55
Lukichev A.S. Using the attribute technique in SYNTAX technology 64
Romanovsky I.V., Kuznetsov S.V. A generalized algorithm of summing enumerators of suboptimal solutions 74
Mechanics
Ershov B.A., Kouteeva G.A. Vibrations of ideal fluid inside a moving rectangular tank taking into account friction in material in elastic part on the wall 88
Zegzhda S.A., Soltakhanov Sh.Kh., Yushkov M.P. The Smooth Transition of a Satellite from a Circular Orbit to a Circular One as an Example of the Motion with a Non-holonomic Constraint of the Third Order 95
Kustova E.V., Kushner I.A. Calculation of transport coefficients in non-equilibrium react-ing gasmixtures using rigorous and approximate formulas 99
Novoselov V.S. Optimal transfers with subdivision of impulse 107
Pasynkova I.A. Stability loss of conical precessions of an unbalanced rotor supported in quasi-linear elastic bearings 113
Soltakhanov Sh.Kh. A mixed problem of dynamics and the principles of Gauss and Man-gero - Deleanus 121
Tovstik P.E., Shekhovtsov V.A. Mathematical models of the mariner fixed off shore plat-forms dynamics 129
Chernyaev S.P. The edges influence on the stability of the plate, lying on the elastic foundation 144
Astronomy
Petrova A.V., Orlov V.V., Brezgunov V.V. Axial rotation of components in binary and multiple stars 149
Papers 155
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