Contents

Vestnik St. Petersburg University, Mathematics


Vol. 57, No. 1, 2024


To the 300th Anniversary of SPbU

A Survey of Results of St. Petersburg State University Research School on Nonlinear Partial Differential Equations. I

D. E. Apushkinskaya, A. A. Arkhipova, A. I. Nazarov, V. G. Osmolovskii and N. N. Uraltseva p. 1  abstract

Periodic Perturbations of Oscillators on a Plane

Yu. N. Bibikov and E. V. Vasil’eva p. 23  abstract

St. Petersburg School of Linear Groups: II. Early Works by Suslin

N. A. Vavilov p. 30  abstract


Mathematics

A Continuous Version of the Selfish Parking Problem

S. M. Ananjevskii and A. P. Chen p. 53  abstract

Density of Simple Partial Fractions with Poles on a Circle in Weighted Spaces for a Disk and a Segment

M. A. Komarov p. 62  abstract

Closure Lemmas for Interval Translation Mappings

A. D. Krivovicheva p. 72  abstract

Characteristics of Convergence and Stability of Some Methods for Inverting the Laplace Transform

A. V. Lebedeva and V. M. Ryabov p. 77  abstract

Probability of Random Vector Hitting Truncated Polyhedral Cone: Majorization Aspect

M. Revyakov p. 89  abstract

Inverse Problem for a Non-Homogeneous Integro-Differential Equation of the Hyperbolic Type

J. Sh. Safarov p. 97  abstract

Remarks and a Generalization of the Hegedüs–Szilágyi Fixed Point Theorem

Y. Touail and D. El Moutawakil p. 105  abstract


Mechanics

Damping Oscillations of a Cylinder with a Coaxial Disk and a Stabilizer

D. V. Kaufman and A. N. Ryabinin p. 113  abstract

Stability of Floating of Vessels with Cross Sections in the Form of Elliptical and Hyperbolic Segments

A. S. Smirnov and I. A. Kravchinsky p. 120  abstract


Astronomy

Orbital Precession in the Restricted Three-Body Problem: Exact Representations

A. A. Berezina p. 130  abstract