Contents

Doklady Mathematics

Vol. 102, No. 1, 2020

Mathematics

Stationary Spherically Symmetric Solutions of the Vlasov–Poisson System in the Three-Dimensional Case

J. Batt, E. Jörn and A. L. Skubachevskii p. 265  abstract

Topological Modeling of Integrable Systems by Billiards: Realization of Numerical Invariants

V. V. Vedyushkina, V. A. Kibkalo and Academician of the RAS A. T. Fomenko p. 269  abstract

Zero Preservation for a Family of Multivalued Functionals, and Applications to the Theory of Fixed Points and Coincidences

T. N. Fomenko and Yu. N. Zakharyan p. 272  abstract

On the Dimension of the Congruence Centralizer

Kh. D. Ikramov p. 276  abstract

Geometry of Factorization Identities for Discriminants

E. N. Mikhalkin, V. A. Stepanenko and A. K. Tsikh p. 279  abstract

On the Motion, Amplification, and Blow-up of Fronts in Burgers-Type Equations with Quadratic and Modular Nonlinearity

N. N. Nefedov and Academician of the RAS O. V. Rudenko p. 283  abstract

On the Problem of Periodicity of Continued Fraction Expansions of $\sqrt f $ for Cubic Polynomials over Number Fields

Academician of the RAS V. P. Platonov, M. M. Petrunin and V. S. Zhgoon p. 288  abstract

Coadjoint Orbits of Three-Step Free Nilpotent Lie Groups and Time-Optimal Control Problem

A. V. Podobryaev p. 293  abstract

ON HEYDE’S THEOREM ON THE GROUP $\mathbb{R}$ × $\mathbb{T}$

G. M. Feldman p. 296  abstract

On Necessary Conditions of Probability Limit Theorems in Finite Algebras

A. D. Yashunsky p. 301  abstract

Computer Science

Methods for Calculating Zero-Level Instability of Electronic Circuits under Variations in Parameters and External Disturbances

V. I. Anisimov and V. N. Gridin p. 304  abstract

Limits for Detailed Description of Problems in Continuous Media Mechanics and Numerical Algorithm for Viscous Gas Flow Simulation

A. E. Lutsky and Academician of the RAS B. N. Chetverushkin p. 309  abstract

New Statistical Kernel-Projection Estimator in the Monte Carlo Method

Corresponding Member of the RAS G. A. Mikhailov, N. V. Tracheva and S. A. Ukhinov p. 313  abstract

Interference-Based Logic Gates

S. A. Stepanenko p. 318  abstract

Efficient Approximation of the Capacitated Vehicle Routing Problem in a Metric Space of an Arbitrary Fixed Doubling Dimension

M. Yu. Khachay and Yu. Yu. Ogorodnikov p. 324  abstract

Young Duality and Aggregation of Balances

Corresponding Member of the RAS A. A. Shananin p. 330  abstract

Control Processes

Problem of Safely Tracking an Object Avoiding Observation in ${{\mathbb{R}}^{2}}$

Academician of the RAS V. I. Berdyshev p. 334  abstract

Abductive Reasoning in Explanation Problems of an Observed Effect

Academician of the RAS S. N. Vassilyev p. 337  abstract

Trajectory Optimality Conditions for Moving Object with Nonuniform Radiation Pattern

Corresponding Member of the RAS A. A. Galyaev, P. V. Lysenko and V. P. Iakhno p. 342  abstract

Contact Geometry in Optimal Control of Thermodynamic Processes for Gases

A. G. Kushner, V. V. Lychagin and M. D. Roop p. 346  abstract

Asymptotic Efficiency of Maximum Entropy Estimates

Academician of the RAS Yu. S. Popkov p. 350  abstract

Terminal Invariance of Jump Diffusions

M. M. Khrustalev and K. A. Tsarkov p. 353  abstract