Contents

Doklady Mathematics


Vol. 105, No. 1, 2022


Mathematics

On the Dynamics of Systems with Two Degrees of Freedom

N. V. Denisova p. 1  abstract

On the Homogenization of an Optimal Control Problem in a Domain Perforated by Holes of Critical Size and Arbitrary Shape

J. I. Díaz, A. V. Podolskiy and T. A. Shaposhnikova p. 6  abstract

On Ramsey Numbers for Arbitrary Sequences of Graphs

V. S. Karas and A. M. Raigorodskii p. 14  abstract

Dynamics of a Chain of Logistic Equations with Delay and Antidiffusive Coupling

S. A. Kashchenko p. 18  abstract

On Thermal Boundary Layer in a Viscous Non-Newtonian Medium

M. A. Kisatov, V. N. Samokhin and G. A. Chechkin p. 23  abstract

Hyperbolic Equation with Rapidly Oscillating Data: Reconstruction of the Small Lowest Order Coefficient and the Right-Hand Side from Partial Asymptotics of the Solution

V. B. Levenshtam p. 28  abstract

On the Strong Chromatic Number of Random Hypergraphs

T. G. Matveeva, A. E. Khuzieva and D. A. Shabanov p. 31  abstract

Comparative Analysis of Numerical-Statistical Projection Algorithms for Solving Transfer Theory Problems

Corresponding Member of the RAS G. A. Mikhailov, A. S. Korda and S. V. Rogasinsky p. 35  abstract

WKB Method for Nonlinear Equations of Emden–Fowler Type

S. A. Stepin and Corresponding Member of the RAS A. I. Shafarevich p. 39  abstract


Control Processes

Optimization of Oscillations of Mechanical Systems

Yu. F. Golubev p. 45  abstract