"Vestnik St. Petersburg University. Mathematics"

Series "Mathematics, Mechanics, Astronomy"

Issue 1, 2004
CONTENTS
Mathematics
Zhabko A.P., Zaretsky D.V. Stability of differential - difference system with independent parameters. 3
Zuber I. E. The canonical transformations and stabilization of nonlinear discrete control systems. 6
Kvitko A.N. The method of constructing the program motion for nonliner nonstationary system. 14
Kryzhevich S.G., Volpert V. A. On Fredholm Conditions and Solvability of Elliptic Problems in Unbounded Cylinders. 22
Ponomareva A. Yu., Tchirkov M.K. Optimal forms of a generalized finitely-nonstationary automata models set-up. 33
Proskurnikov A. V. On properties of the control system providing the steady output to be small. 43
Stepenko N. A. On some criteria of ultimately boundedness for oscillatory systems with non-stationary parameters. 50
Tovstik Ò. Ì. Filtration of the stationary processes with the rational spectral density. 55
Mechanics
Aksenova Î. A. The comparison of fractal and statistical models of surface roughness in the problem of scattering rare-fied gas atoms. 61
Amosov A. S. Free vibrations of a thin rectangular elastic tube. 67
Akchurin Ò. R., Mal'kov V. Ì. Theoretical and experimental investigation of twisting an elastomeric cylindrical bearing. 73
Grekov Ì. À. The perturbation approach for a two-component composite with a slightly curved interfac. 81
Klikushina M. V. The buckling of a simply supported shell with the rectangular cross-section. 89
Mishina E.N., Ptitsyna T. G. Elliptical shell deformation under the influence of the girdled load. 96
Philippov V. Â. Sea gas pipe line model with surface freezing effect consideration. 103
Astronomy
Orlov S.A., Kholshevnikov Ê.V. Dust torus. III. Equations of enveloping surface of trajectories family of isotropic ejected particles with the due account of nodes and pericenters motion. 112
Chronica
Professor Tateos Artemyevich Agekyan. 115
In memoriam of L. V. Kantorovich. 116
Filippov S.B., Pasynkova I.A. International conference on mechanics "The Third Polyakhov's reading". 117
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