"Vestnik St. Petersburg University"

Series "Mathematics, Mechanics, Astronomy", Issue 4, 2003

Contents

Mathematics
Aleksandrov A.Yu., Zhabko A.P. . On the maintainance of the asymptotic stability while passing from differential to difference equations 3
Vinogradov O.L., Zhuk V.V. Addition to sharp inequalities of Jackson and Landau—Kolmogorov type for derivatives of a small order 11
Gelig A.Kh., Kabrits M.S. Stabilization of nonlinear pulse-modulated systems 20
Zakharov V.V., Dementieva M.B. Consistency of subcore and the problem of minimum reduction 28
Zuber L.E. The synthesis of modal terminal control for time-varying discrete systems 34
Melas V.Â., Krylova L.A. On a functional approach to E-optimal design for polino-mial regression. 42
Petrov N.N., Chumanova A. V. On some problems of the search with counteraction 51
Ponomarenko A.K. Three invariant cubature formulae with a central symmetric weight function 58
Mechanics
Aleshkov Yu.Z.: Barinov V.A., Boutakova N.N. The nonlinear surface waves on two-phase a layer of the medium 64
Kurbatova G.I., Pavlovskii V.A., Philippov V. Â., Popova E.A. On a locking equation of stationary turbulence stream pipe models 76
Novoselov V.S. Optimal trajectories of rendez-vous in a gravitational field 89
Peregudin S.L Waves in two-layer liquid above the loose medium 97
Skurin L.1. The parallel scheme for Navier—Stokes equations on the base of an itera-tive space marching method 107
Astronomy
Bobylev V.V., Vityazev V. V., Goncharov G.A. Analysis of kinematics of visually bi-nary stars 111
Kholshevnikov K.V., Orlov S.A., Jazmati M.S. Dust torus. Part II: analysis of the en-veloping surface of trajectories family of isotropic ejected particles 119
Papers 131

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