"Vestnik St. Petersburg University"

Series "Mathematics, Mechanics, Astronomy", Issue 2, 2003

Contents

Mathematics
Gelig A.Kh., Kabrits M.S. Asymptotic stability of nonlinear pulse systems 3
Daugavet V.A., Tanygina N.A. The convergence rate of the leveling method for the uniform S-approximation 13
Zuber I.E. Terminal control for a nonstationary descrete system 21
Kabakova E.V., Myshkov S.K. Stabilization of singular pertubated control systems with incomplete information 27
Markov Yu G. The information fields: modelling data for complex systems theory 34
Smirnova V.B., Utina N.V., Shepeljavyi A./.-The estimation from above of the number of cycle-slip time of phase-locked loops in discrete systems with periodocal non-linear part 48
Sokolov B.M., Shepetjavyi A.I., Medvedev A.V. Adaptive control of converter fusible steel 58
Tamasyan G.Sh. An exact penalty method in a variational problem with delay 66
Mechanics
Arutyunyan R.A., Fomin V.L. Probabilistic fracture criterion taking into account the stepwise fatigue crack propagation 76
Ershov B.A., Popova M.O. Viscous incompressible fluid flow in rotating field with deformed bot-tom and free surface 81
Novoselov V.S. Optimal singular impulse transvers taking into account restrictions and perturbations 86
Pavilaynen G.V. The bending of thin circular plastic anisotropic plates 96
Chernjaev S.P. The comparison of two kinds of the shell of revolution buckling under the axial loading 104
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