"Vestnik St. Petersburg University"

Series "Mathematics, Mechanics, Astronomy", Issue 1, 2003

Contents

Mathematics
Altshuller D. Stability multipliers for systems with nonstationary nonlinearities 3
Burova I.G., Dem'ya.novich Yu.K. Duration of minimal spline calculations with parallelization 13
Gelig A.Kh., Zuber I.E. Stabilization of pulse-modulated systems with nonstationary linear part 20
Kuznetsov N.V., Leonov G.A. Stability by the first approximation for discrete systems 28
Malozemov V.N., Prosekov 0.V. Fast Fourier transform of small orders 36
Utina N.V. Lower estimation of the number of cycle-slip periods of phase-locked loops in discrete systems 48
Churilov A.N. Stability conditions for a class of systems with impulsive action 56
Mechanics
Aleshkov Yu.Z. Dynamic processes in shore zone of sea 64
Anisimov V.J. Dynamic crack propagation 73
Arutyunyan R.A., Nanzai Y. The rheology of aging polymer materials 80
Bukashkina O.S. Elastoplastic deformation of a tube bent over a bend die 87
Zegzhda S.A., Yushkov M.P. Poincare—Chetaev—Rumyantsev approach to the construction of motion equations for nonholonomic systems and its connection with other approaches 93
Krasnov A.A., Tovstik P.E., Tovstik T.P. Centrifuge on an air cushion under the action of random pulses 104
Svirkina L.A., Kirpichnikova N.Ya. Elastic wave diffraction from small inhomogeneity (obstacle) in a layer 114
Skrobach A.V. Approximate statement of problem on a developed turbulent nonstationary non-isothermal gas motion in a circular cross-cut turboconductor 122
Astronomy
Mardanova M.A. Models of spatial luminosity distribution in galaxies. I. 131
Papers

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