"Vestnik St. Petersburg University. Mathematics"

Series "Mathematics, Mechanics, Astronomy"

CONTENTS

Mathematics
A.Yu. Aleksandrov. On the stability of solutions of a certain nonlinear system of differential equations	3
I.G. Burova, T.O. Evdokimova. On the smooth second order trigonometric splines.	11
V.A. Daugavet, N.A. Tanyghina. The estimate of the best approximation in the uniform -approximation.	17
I.E. Zuber. The synthesis of stabilizing control by output for nonlinear systems with conusoidal perturbation	24
S.G. Kryzhewich, V.A. Volpert. On Solvability of Linear Elliptic Problems in Unbounded Cylinders	30
F.F. Nikitin, S.V. Chistyakov. On zero-sum differential games of infinite duration	38
S.N. Pakhomov. The calculation of the sliding Fourier spectrum	45
N.N. Petrov, M.A. Teteryatnikova. On some problems of the search on graphs with the counteraction	50
L.A. Petrosjan, S.I. Mamkina. Dynamic games with changing coalitional structure	60
Mechanics
A.Aldoshina, 0.S.Bukashkina, P.E.Tovstik. Nonlinear parametric vibrations of electrodynamical loudspeaker diaphragm	70
A.A. Tikhonov. On the rotary motion of a shielded artificial Earth satellite in a noncentral gravitational field	81
P.E. Tovstik, S.P. Chernyaev. Nonlinear deformation of thin shells with the middle surface imperfections	88
Mikhail Petrovich Yushkov (devoted to the 70-th jubilee)
Summaries
	98