"Vestnik St. Petersburg University. Mathematics"

Series "Mathematics, Mechanics, Astronomy", Issue 3, 2006

CONTENTS
Mathematics
Uraltseva N N. The department of mathematical physics of St. Petersburg State University is 50 years. 3
Derguzov V.I., Denisova I.V. Solving the problem on the fall of the wave onto the joint of two dielectric periodic waveguides 9
Ivochkina N.M. Evolution problems generating contraction of convex hypersurfaces to a point 16
Mikhailov A.S. On determination of the surface tension coefficient in the two-phase elasticity problems under the assumption of incompressibility or with inflexible inclusions 24
Nazarov A.I. On stability of stationary points in a nonlinear ODE system arising in models of traffic currents 35
Nazarov S.A. The asymptotics of eigenvalues of the Neumann problem under concentration of masses on a thin torus-like set 43
Osmolovskii V.G. Existence of equilibrium states in the one-dimensional problem on phase transitions 54
Gelig A.Kh., Zuber I.E. Stabilization of nonlinear discrete systems with delay 66
Demyanovich Yu.K., Zimin A.V. Wavelet decomposition of spaces of the second-order periodic B-splines for the irregular grid 72
Mechanics
Kirpichnikov S.N., Zub E.Yu. Multiloop optimal impulsive transitions between circular coplanar orbits 84
Nagnibeda E.A., Sinitsyn K.A., Bazylevich S.S. Dissociation rate coefficients in non-equilibrium gas 92
Nikulin I.A., Khantuleva T.A. The structural parameters evolution in the frame of nonlocal hydrodynamic theory 102
Novoselov V.S. Optimal trajectories of a tangential passage with consideration of the active section duration 109
Pronina Yu.G. Mechanical-chemical corrosion of an ideal elastic-plastic hollow cylinder under the constant pressure 121
Astronomy
Orlov S.A. Dust torus. IV. Analysis of the enveloping surface of trajectories family of isotropic ejected particles with due account of nodes and pericenters motion 131
Brief scientific reports
Burova I.G., Timofeyev V.A.. Solution of the Hermit—Birkhoff problem by means of minimum non-polynomial splines 145
Vinogradov E.V. Error estimation for a series with semi-interval evaluation 148
Lukichev A.S. Transfer of context data using attributes between passes in the SYNTAX technology 153
Papers 156
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