Contents
Vestnik St. Petersburg University: Mathematics


Vol. 44, No. 1, 2011

A simultaneous English language translation of this journal is available from Allerton Press, Inc.
Distributed worldwide by Springer. Vestnik St. Petersburg University. Mathematics ISSN 1063-4541.


Dedicated to Petr Evgen’evich Tovstik on the Occasion of His 75th Birthday

Petr Evgen’evich Tovstik (on the Occasion of His 75th Birthday)

G. A. Leonov, N. F. Morozov, S. A. Zegzhda, V. S. Sabaneev, S. B. Filippov, and M. P. Yushkov p. 1  abstract

Influence of Oscillation Localization on Film Detachment from a Substrate

A. K. Abramyan, N. M. Bessonov, D. A. Indeitsev, Yu. A. Mochalova, and B. N. Semenov p. 5  abstract

Application of Nonclassical Models of Shell Theory
to Study Mechanical Parameters of Multilayer Nanotubes

S. M. Bauer, A. M. Ermakov, S. V. Kashtanova, and N. F. Morozov p. 13  abstract

Small Free Vibrations of an Infinite Cylindrical Shell Rotating on Rollers

M. L. Boyarskaya and S. B. Filippov p. 21  abstract

A Cylindrical Plate with a Weakly Fixed Curvilinear Edge Made
of a Transversally Isotropic Material

Z. G. Ershova and P. E. Tovstik p. 27  abstract

Mathematical Model of the Yield Contour for Anisotropic Materials

I. V. Efimov p. 38  abstract

Initial Supercritical Behavior of Buckled Transversely Isotropic Elastic Medium

N. F. Morozov and P. E. Tovstik p. 44  abstract

Stability and Low-Frequency Oscillations of Thin Shells with Entirely
or Partially Negative Gaussian Curvature

M. B. Petrov p. 51  abstract

Two Saint-Venant Problems for Anisotropic Circular Cylinder

Yu. A. Ustinov p. 54  abstract


Mathematics

Arbitrarily Large Jumps of the Golovach Function for Trees

T. V. Abramovskaya and N. N. Petrov p. 59  abstract

Stabilization of Objects Using a Constant Control

M. B. Batyi p. 66  abstract

Dissipativity of Some Class of Uncertain Systems

I. E. Zuber and A. Kh. Gelig p. 74  abstract

Calculating the Mean Growth Rate of the Vector of States
of a Stochastic System with Synchronization of Events

N. K. Krivulin p.79 abstract


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