Contents

Vestnik St. Petersburg University. Mathematics


Vol. 49, No. 2, 2016

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


Mathematics

Two-Dimensional Homogeneous Cubic Systems: Classification and Normal Forms. I

V. V. Basov p. 99  abstract

NP Completeness Conditions for Verifying the Consistency of Several Kinds of Systems of Linear Diophantine Congruences and Equations

N. K. Kosovskii, T. M. Kosovskaya and N. N. Kosovskii p. 111  abstract

On the Possible Dimensions of Subspace Intersections

N. A. Lebedinskaya and D. M. Lebedinskii p. 115  abstract

Simplexes in a Normed Space

V. V. Makeev p. 119  abstract

Special Solutions of the Chapman–Kolmogorov Equation for Multidimensional-State Markov Processes with Continuous Time

R. N. Miroshin p. 122  abstract

Natural Damped Vibrations of Anisotropic Box Beams of Polymer Composite Materials: 1. Statement of the Problem

V. M. Ryabov and B. A. Yartsev p. 130  abstract

On One Method for the Numerical Solution of a System of Parabolic Equations

N. N. Semenova, V. V. Terleev, G. I. Suhoruchenko, E. E. Orlova and N. E. Orlova p. 138  abstract

Estimates of Sums of Integrals of the Legendre Polynomial

K. V. Kholshevnikov and V. Sh. Shaidulin p. 147  abstract

Variances of the Foster–Stuart Round-Trip Test Statistics

V. A. Chepurko p. 157  abstract


Mechanics

Buckling Analysis of a Ring under the Action of Internal Pressure in a Cylindrical Shell

M. L. Boyarskaya and S. B. Filippov p. 166  abstract

Stretch of an Elastic Plane with a Lattice of Straight Cuts

Yu. M. Dahl p. 174  abstract

A New Approach to Finding the Control that Transports a System from One Phase State to Another

S. A. Zegzhda, E. A. Shatrov and M. P. Yushkov p. 183  abstract

Allowed Regions in the Problem Concerning Dynamics of a Charged Particle in a Superposition of Dipole and Uniform Magnetic Fields

E. K. Kolesnikov and G. N. Klyushnikov p. 191  abstract