Contents

Doklady Mathematics

Vol. 101, No. 3, 2020

Mathematics

On Some Properties of Superreflexive Besov Spaces

A. N. Agadzhanov p. 177  abstract

On Stability of Continuous Extensions of Mappings with Respect to Nemytskii Operator

A. V. Arutyunov and S. E. Zhukovskiy p. 182  abstract

Bicompact Finite-Difference Scheme for Maxwell’s Equations in Layered Media

A. A. Belov and Zh. O. Dombrovskaya p. 185  abstract

Methods for Estimating the Global Maximum Point and the Integral of a Continuous Function on a Compact Set

B. S. Darkhovsky p. 189  abstract

Pólya–Schur Inequality and the Green Energy of a Discrete Charge

Corresponding Member of the RAS V. N. Dubinin p. 192  abstract

On Stationary Nonequilibrium Measures for Wave Equations

T. V. Dudnikova p. 195  abstract

On L2-Dissipativity of a Linearized Explicit Finite-Difference Scheme with Quasi-Gasdynamic Regularization for the Barotropic Gas Dynamics System of Equations

A. A. Zlotnik and T. A. Lomonosov p. 198  abstract

Space-Likeness of Classes of Level Surfaces on Carnot Groups and Their Metric Properties

M. B. Karmanova p. 205  abstract

Accuracy of MUSCL-Type Schemes in Shock Wave Calculations

O. A. Kovyrkina and V. V. Ostapenko p. 209  abstract

Regular Boundary Value Problems for the Dirac Operator

A. S. Makin p. 214  abstract

Antipodal Krein Graphs and Distance-Regular Graphs Close to Them

Corresponding Member of the RAS A. A. Makhnev p. 218  abstract

Rings of Integers in Number Fields and Root Lattices

Corresponding member of the RAS V. L. Popov and Yu. G. Zarhin p. 221  abstract

Maps with Prescribed Boardman Singularities

A. D. Ryabichev p. 224  abstract

Schrödinger Quantization of Infinite-Dimensional Hamiltonian Systems with a Nonquadratic Hamiltonian Function

O. G. Smolyanov and N. N. Shamarov p. 227  abstract

Schur Complement and Continuous Spectrum in a Kinetic Plasma Model

S. A. Stepin p. 231  abstract

Bounded Gaps between Primes of Special Form

A. V. Shubin p. 235  abstract

Computer Science

Combined Monotone Bicompact Scheme of Higher Order Accuracy in Domains of Influence of Nonstationary Shock Waves

M. D. Bragin and B. V. Rogov p. 239  abstract

Accelerated Gradient Sliding for Minimizing a Sum of Functions

D. M. Dvinskikh, S. S. Omelchenko, A. V. Gasnikov and A. I. Tyurin p. 244  abstract

Asymptotics of the Number of Threshold Functions and the Singularity Probability of Random {±1}-Matrices

A. A. Irmatov p. 247  abstract

Problem of Acoustic Diagnostics of a Damaged Zone

Corresponding Member of the RAS I. B. Petrov, V. I. Golubev and A. V. Shevchenko p. 250  abstract

On the Existence of a Global Solution of a Hyperbolic Problem

O. S. Rozanova and E. V. Chizhonkov p. 254  abstract

On Some Factorizations of Semi-Metric Cones and Quality Estimates of Heuristic Metrics in Data Analysis Problems

Academician of the RAS K. V. Rudakov p. 257  abstract

Control Processes

Minimax-Maximin Relations for the Problem of Vector-Valued Criteria Optimization

Yu. A. Komarov and Academician of the RAS A. B. Kurzhanski p. 259  abstract

Periodic Time-Optimal Controls on Two-Step Free-Nilpotent Lie Groups

Yu. L. Sachkov p. 262  abstract