"Vestnik St. Petersburg University. Mathematics"

Series "Mathematics, Mechanics, Astronomy"

CONTENTS

Mathematics
Gelig A.H., Muranov V.A. Stabilization of two classes of nonlinear pulse-modulated systems with delay	3
Gusev S.V. The structure of semidefinite solutions of homogeneous generalized Lyapunov equation and frequency theorem in a Hilbert space	16
Zuber I.E. Quasi-canonical transformations and stabilizability of nonlinear systems	24
Kuznetsov N.V., Leonov G.A. Criteria of stability by the first approximation for discrete nonlinear systems	30
Myshkov S.K. Linear-quadratic optimization of singular pertubated control systems with incomplete information	43
Poborchi S.V. On continuity of the trace operator for a domain with outward peak	51
Proskumikov A.V. Frequency-domain dichotomy criteria for systems of integral equa-tions with quadratic constraints involving delays	61
Ryabov V. M. On the Laplace transform inversion which is depending on some trans-form’s parameter power	67
Mechanics
Almazova S. V. On applying the method of determination of eigenfrequencies and eigenfunctions of the elastic body system by virtue of eigenfunctions of its elements	74
Zegzhda S.A., Yushkov M.P. On Equations of Motion of Non-holonomic Systems in Quasi-coordinates	78
Nazarov S.A. The initiation of a selvage crack according to the Novozhilov criterion	83
Pasynkova I. A. Steady motions of a rigid unbalance rotor supported by bearings with radial clearance	87
Petrov D.A.. Tsibarov V.A. Flowing aerosol within tornado	96
Rodyukov F.F.. Tverev К.К. Stability of the wind-power station	103
Smirnov A.L. Buckling of a thin anisotropic ellipsoid	108
Soltakhanov Sh.Kh. Control of the motion of a sputnik with the help of a linear third order nonholonomic constraintont	119
Astronomy
Vityazev V.V., A.Yu. Shlyapnikova. FK5-HIPPARC0S: systematic difference of positions and proper motions	124
Goncharov G.A., Vityazev V.V. The evolution of the Gould belt	134
Papers	147