"Vestnik St. Petersburg University"

Series "Mathematics, Mechanics, Astronomy", Issue 3, 2003

Contents

Mathematics
Vinogradov 0.L. The analog of Jackson—Chernykh inequality for the space of sequences summable with square 3
Demyanov V.F. The exact penalty method in the optimal control proble 9
Derguzov V.I., Denisova I.V. Projection and resolving operators for three-dimension periodic waveguide 20
Ermakov S.M. On the multiplicative random numbers generator 23
Kapilevich V.0., Petrov N.N. Search problems on graphs with counteraction 31
Kiselev B.V., Markoff Yu.G. The beauty of fractals: what does it cost? 38
Krivulin N.K. Evaluation of the mean growth rate of the state vector in the general-ized linear dynamical system with a random matrix 47
Leonov G.A., Shumafov M.M. Elementary proof of the stabilization theorem of linear controllable systems 56
Mikheev S.E. Safety Zones in Differential Game 69
Pakhomov S.N. The calculation of Fourier spectrum inner segment 79
Mechanics
Eliseeva L.S., Filippov S.B. Buckling and vibrations of a cylindrical shell of variable thickness with a curvilinear edge 84
Ivanov D.N. Vibrations of cylindrical shell with a slanted edge 92
Krasnov A.A., Tovstik P.E., Tovstik T.P. Centrifuge dynamics with impacts 100
Astronomy
Vityazev V.V., Shliyapnikova A.Yu. Mutual orientation and rotation of the FK5 and HIPPARCOS frame 107
Chronicle
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 READINGS" 117
Papers 120
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