Contents

Doklady Mathematics

Vol. 102, No. 3, 2020

Mathematics

Orthogonal Elements in Nonseparable Rearrangement Invariant Spaces

S. V. Astashkin and E. M. Semenov p. 449  abstract

Interpolation of Spaces of Functions of Positive Smoothness on a Domain

Corresponding Member of the RAS O. V. Besov p. 451  abstract

Exact Solutions of Incompressible Navier–Stokes Equations in the Case of Oil and Gas Industrial Problems

Academician of the RAS V. B. Betelin, V. A. Galkin and A. O. Dubovik p. 456  abstract

Densities of distributions of homogeneous functions of Gaussian random vectors

V. I. Bogachev, E. D. Kosov and S. N. Popova p. 460  abstract

The Kolmogorov Problem on Uniqueness of Probability Solutions of a Parabolic Equation

V. I. Bogachev, T. I. Krasovitskii and S. V. Shaposhnikov p. 464  abstract

On the Existence of Focus Singularities in One Model of a Lagrange Top with a Vibrating Suspension Point

A. V. Borisov, P. E. Ryabov and S. V. Sokolov p. 468  abstract

Minimum Clique-Free Subgraphs of Kneser Graphs

S. V. Vahrushev, M. E. Zhukovskii, S. G. Kiselev and A. Yu. Skorkin p. 472  abstract

One Problem of Extremal Functional Interpolation and the Favard Constants

Yu. S. Volkov p. 474  abstract

On Moment Methods in Krylov Subspaces

V. P. Il’in p. 478  abstract

Stability Analysis of Artificial Ice Islands by Methods of Mathematical Modeling

Corresponding Member of the RAS I. B. Petrov, M. V. Muratov and F. I. Sergeev p. 483  abstract

On the Finiteness of the Number of Expansions into a Continued Fraction of $\sqrt f $ for Cubic Polynomials over Algebraic Number Fields

Academician of the RAS V. P. Platonov and M. M. Petrunin p. 487  abstract

Concentrations Problem for Solutions to Compressible Navier–Stokes Equations

Corresponding Member of the RAS P. I. Plotnikov p. 493  abstract

Optimal Control and “Strange” Term Arising from Homogenization of the Poisson Equation in the Perforated Domain with the Robin-type Boundary Condition in the Critical Case

A. V. Podolskiy and T. A. Shaposhnikova p. 497  abstract

On Implementation of Boolean Functions by Contact Circuits with a Constant Uniform Width

K. A. Popkov p. 502  abstract

Mathematical Modeling of Vibrational Combustion

E. V. Radkevich, N. N. Yakovlev and O. A. Vasilieva p. 505  abstract

On Dividing Sets into Parts of Smaller Diameter

A. M. Raigorodskii p. 510  abstract

On the Period Length of a Functional Continued Fraction over a Number Field

G. V. Fedorov p. 513  abstract

New Cases of Homogeneous Integrable Systems with Dissipation on Tangent Bundles of Three-Dimensional Manifolds

M. V. Shamolin p. 518  abstract

Quantization of Integrable Systems with Spectral Parameter on a Riemann Surface

O. K. Sheinman p. 524  abstract

Computer Science

Noise-Immune Communication with Orthogonal Frequency Division Multiplexing Using Kravchenko Weight Function Processing

V. F. Kravchenko, L. E. Nazarov and Academician of the RAS V. I. Pustovoit p. 528  abstract

Control Processes

Estimation of the Growth of the Degree of Nonconvexity of Reachable Sets in Terms of α-Sets

Corresponding Member of the RAS V. N. Ushakov and A. A. Ershov p. 532  abstract

The Problem of Trajectories Avoiding a Sparse Terminal Set

L. P. Yugay p. 538  abstract