"Vestnik St. Petersburg University. Mathematics"

Series "Mathematics, Mechanics, Astronomy", Issue 1, 2006

CONTENTS
Mathematics
Barabanov A.E., Sitnikov V.I. High degree quasi-polynomial factorization 3
Burova I.G. Approximations by minimal splines of maximum and minimum defect 12
Zuber I.E., Gelig A.Kh. Invariant stabilization of discrete nonstationary systems with external action 18
Krivulin N.K. On solution of generalized linear vector equations in idempotent algebra 23
Leonov G.A. The Colonius—Hinrichsen—Wirth problem for linear two-dimensional control systems 37
Mai Van Minh. On the Fourier integral of discontinuous function of two variables 45
Miroshin R.N. On the variance of the number of zeros of some stationary Gaussian processes: small deviations from simple solutions 50
Smirnova V.B., Utina N.V., Shepelyavy A.I. Asymptotic frequency-domain estimates for the amplitude of the output in discrete phase systems 60
Mechanics
Anisimov V.Yu. The stability of a transversal-isotropic shell of revolution axially compressed 69
Antipov K.A., Petrov K.G., Tikhonov A.A. The electrodynamical method for attitude stabilization of a dynamically symmetric spacecraft 79
Nagnibeda E.A., Novikov K.A. On the role of multi-level transition in the state-to-state vibrational kinetics 91
Pasynkova I.A. Precessions of an unbalanced rotor asymmetrically supported in elastic bearings 100
Fedchun O.V., Smirnov A.L. The perturbation of the spectrum of natural frequencies of shell vibrations 108
Astronomy
Tsvetkov A.S., Popov A.V. Stellar Structure of catalogue Tycho-2 116
Chronicle
In commemoration of Tateos Artemyevich Agekyan 125
Papers 129
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: peterhof@rambler.ru