"Vestnik St. Petersburg University. Mathematics"

Series "Mathematics, Mechanics, Astronomy"

Issue 2, 2004
CONTENTS
Mathematics
Adamov A.V., Ermakov S.M. On the stochastic stability of Monte Carlo method (operator case). 3
Burova I.G. On trigonometric splines construction. 9
Gelig A.Kh. An analytical synthesis of stabilizing output control for nonstationary sampled data systems. 15
Zelenevskaya A.B., Petrov N.N. On search problems in graphs with the counteraction. 23
Zuber I.E. An exponentially stable observer for controllable and observable nonlinear systems. 34
Korovkin A.V., Masharsky S.M. On the fast Ahmed—Rao transform with subsampling in time. 39
Krivulin N.K. A convergence theorem for matrix powers and evaluation of the eigenvalue in idempotent algebras. 49
Miroshin R.N. On inequalities for the varience of the number of zeros of some stationary normal processes. 56
Ponomareva A.Yu. Generalized minimal forms of stochastic automata with periodically varying structure. 64
Mechanics
Akimov G.A. Generalized minimal forms of stochastic automata with periodically varying structure. 72
Barantsev R.G. On asymptology again. 79
Bratov V.A., Petrov Yu.V. Investigation of the cross-section size influence on the distortion of the dynamic impulse applied to a quadratic rod. 86
Klikushina M.V. The buckling of the shell with the rectangular cross-section and free edges. 91
Lashchenov V.K. Movement of a parabolic punch system along an orthotropic elastic strip. 97
Astronomy
Sidorova V.K. Movement in the field of a rotationally symmetric potential. Deduction of the equation of a trajectory. 104
Papers
  107
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