"Vestnik St. Petersburg University. Mathematics"

Series "Mathematics, Mechanics, Astronomy"

Issue 4, 2004
CONTENTS
Mathematics
Burova I.G, Demianovich Yu.Ê. On splines of maximal smoothness 3
Burova I.G., Evdokimova T.O. On smooth third order trigonometric splines. 12
Gelig A.Kh., Zuber I.E. Stabilization of time-varying control systems by a deriva-tive control. 22
Kryzhevich S.G., Volpert V.A. On solvability of nonlinear elliptic problems in un-bounded cylinders 31
Kulikov A.A., Nazarov S.A. Energy release rate due to the propagation of a crack in piezo-electric medium 40
Pakhomov S.N., Prosekov O.V. Calculation aspects of fast Fourier transform 45
Prosolupov E.V. About the gap between the minimal dimension of the orthonor-mal labeling and size of smallest clique covering of a graph 51
Mechanics
Viktorov I.V., Tovstik P.E. The shear influence on the buckling of orthotropic cy-lindrical shells under axial compression 58
Ivanov D. N. Stability of a thin cylindrical shell of an elliptical section 68
Malkov V.M., Malkova Yu.V. Nonlinear Flamant problem for non-compressible material 73
Novoselov V.S. Game models of the optimal trajectories for the transfer in gravitational field 83
Astronomy
Polyakhova E.N. To 100 - Anniversary of Photogravitational Celestial Mechanics 89
 
Papers 119
List of the articles 122
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