Contents

Vestnik St. Petersburg University, Mathematics


Vol. 52, No. 2, 2019


Mathematics

Improving an Estimate of the Convergence Rate of the Seidel Method

A. N. Borzykh p. 127  abstract

On the Explicit Integration of Special Types of Differential Inequalities

Yu. A. Il’in p. 136  abstract

On the Rank-One Approximation of Positive Matrices Using Tropical Optimization Methods

N. K. Krivulin and E. Yu. Romanova p. 145  abstract

A Remark on Certain Classic Criteria of Mathematical Statistics

I. S. Lunev and V. V. Nekrutkin p. 154  abstract

Strict Polynomial Separation of Two Sets

V. N. Malozemov and A. V. Plotkin p. 162  abstract

Goodness-of-Fit Tests Based on a Characterization of Logistic Distribution

Ya. Yu. Nikitin and I. A. Ragozin p. 169  abstract

On Bounds for Probabilities of Combinations of Events, the Jordan Formula, and the Bonferroni Inequalities

A. N. Frolov p. 178  abstract


Mechanics

Uniaxial Attitude Stabilization of a Rigid Body under Conditions of Nonstationary Perturbations with Zero Mean Values

A. Yu. Aleksandrov and A. A. Tikhonov p. 187  abstract

On Stabilization of a Triple Inverted Pendulum via Vibration of a Support Point with an Arbitrary Frequency

I. M. Arkhipova p. 194  abstract

Calculation of the Optical Telescope Mirror

V. E. Velichko p. 199  abstract

Numerical Algorithm for Investigating the Stress-Strain State of Cylindrical Shells of Railway Tanks

P. V. Gerasimenko and V. A. Khodakovskiy p. 207  abstract

Features of Solving Triple Shear in the Endochronic Theory of Inelasticity Accounting for Large Deformations

T. A. Zabavnikova and S. P. Pomytkin p. 214  abstract

Estimation of the Performance Level of a Stretchable Plate Weakened by a Transverse Crack

N. F. Morozov, B. N. Semenov and P. E. Tovstik p. 220  abstract