Contents

Doklady Mathematics

Vol. 101, No. 1, 2020

Mathematics

Varieties of Exponential MR-Groups

M. G. Amaglobeli p. 1  abstract

Stieltjes Differential in Impulse Nonlinear Problems

A. D. Baev, D. A. Chechin, M. B. Zvereva and S. A. Shabrov p. 5  abstract

Trace Formula for Integral Points on the Three-Dimensional Sphere

Corresponding Member of the RAS V. A. Bykovskii and M. D. Monina p. 9  abstract

On Convergence Rates for Homogeneous Markov Chains

A. Yu. Veretennikov and M. A. Veretennikova p. 12  abstract

Interpolation Problems for Functions with Zero Integrals over Balls of Fixed Radius

V. V. Volchkov and Vit. V. Volchkov p. 16  abstract

Method for Analyzing the Influence of the Quantum Nonlocal Effect on the Characteristics of a Plasmonic Nanolaser

Yu. A. Eremin and A. G. Sveshnikov p. 20  abstract

On the Action of the Restricted Weyl Group on the Set of Orbits a Minimal Parabolic Subgroup

V. S. Zhgoon and F. Knop p. 25  abstract

Stability of Numerical Methods for Solving Second-Order Hyperbolic Equations with a Small Parameter

A. A. Zlotnik and Academician of the RAS B. N. Chetverushkin p. 30  abstract

Metric Properties of Graphs on Carnot–Carathéodory Spaces with Sub-Lorentzian Structure

M. B. Karmanova p. 36  abstract

Monte Carlo Algorithms for Estimating Time Asymptotics of Multiplication Particle Flow in a Random Medium

Corresponding Member of the RAS G. A. Mikhailov and G. Z. Lotova p. 40  abstract

On Stability Indicators of Nonnegative Matrices

V. N. Razzhevaikin and Academician of the RAS E. E. Tyrtyshnikov p. 43  abstract

Uniqueness of Reconstruction of an nth-Order Differential Operator with Nonseparated Boundary Conditions by Several Spectra

Academician of the RAS V. A. Sadovnichii, Ya. T. Sultanaev and A. M. Akhtyamov p. 46  abstract

Asymptotic Expansions of Solutions to the Riccati Equation

V. S. Samovol p. 49  abstract

On the Existence of an Infinite Number of Leaky Complex Waves in a Dielectric Layer

Yu. G. Smirnov and E. Yu. Smolkin p. 53  abstract

Informatics

Completeness Criteria for a Linear Model of Classification Algorithms with Respect to Families of Decision Rules

A. G. D’yakonov and A. M. Golovina p. 57  abstract

Modularity of Some Distance Graphs

M. M. Ipatov, M. M. Koshelev and A. M. Raigorodskii p. 60  abstract

Absence of Bottlenecks in a Neural Network Determines Its Generic Functional Properties

S. V. Kurochkin p. 62  abstract

New Bounds for the Clique-Chromatic Numbers of Johnson Graphs

A. M. Raigorodskii and M. M. Koshelev p. 66  abstract

Control Processes

Damping Problem for a Neutral Control System with Delay

A. Sh. Adkhamova and A. L. Skubachevskii p. 68  abstract

Necessary and Sufficient Conditions for Internal Stability of Linear Formations

A. V. Lakeyev p. 71  abstract

Inequalities for Subgradients of a Value Functional in Differential Games for Time-Delay Systems

Corresponding Member of the RAS N. Yu. Lukoyanov and A. R. Plaksin p. 76  abstract