"Vestnik St. Petersburg University. Mathematics"

Series "Mathematics, Mechanics, Astronomy", Issue 4, 2006

CONTENTS
Mathematics
Vladimir Andreevich Yakubovich (dedicated to his eightieth birthday). 3
Gelig A.Kh. Non-classical differential equations 7
Gusev S.V. The vector-valued versions of the S-procedure and Yakubovich lemma 19
Efimov D.V., Fradkov A.L. Conditions of Yakubovich oscillatority for nonlinear systems 28
Zuber I.E. Invariant stabilization and the problem of tracing 41
Leonov G. A. Sets of transversal curves for two-dimensional systems of differential equations 48
Mechanics
Arutyunyan R.A., Brazhnikova N.V. The description of deformation aging of polymers by means of modified Maxwell and Kelvin—Voight equations 79
Pasynkova I.A. Stability of symmetrical hyperboloidal precessions of an unbalanced rotor 86
Soltakhanov Sh.Kh. Extended equations of motion for machine aggregate under nonholonomic connection of high order 95
Tovstik P.E. Reaction of the elastic pre-stressed orthotropic foundation 98
Yufereva L.M., Lavrov Yu.A. The influence of ribs of rigidity on natural frequencies of a rectangular acoustic resonator 109
Astronomy
Popov A.V., Vityazev V.V., Tsvetkov A.S. Spectral parallaxes of the Tycho-2 stars 116
Papers 124
List of the articles 127
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