Contents

Doklady Mathematics

Vol. 97, No. 3, 2018

A simultaneous English language translation of this journal is available from Pleiades Publishing, Ltd.
Distributed worldwide by Springer. Doklady Mathematics ISSN 1064-5624.

Mathematics

Problem without Initial Conditions for a Class of Inverse Parabolic Operator-Differential Equations of Third Order

A. R. Aliev and M. A. Soylemezo p. 199  abstract

Transformation of Time-Delay Systems to a Form with Zero Dynamics

Corresponding Member of the RAS A. V. Il’in, E. I. Atamas’ and V. V. Fomichev p. 203  abstract

Class of Maximal Graph Surfaces on Multidimensional Two-Step Sub-Lorentzian Structures

M. B. Karmanova p. 207  abstract

Deviations of Fejer Sums and Rates of Convergence in the von Neumann Ergodic Theorem

A. G. Kachurovskii and K. I. Knizhov p. 211  abstract

General Theorem on a Finite Support of Mixed Strategy in the Theory of Zero-Sum Games

S. N. Smirnov p. 215  abstract

Everywhere Differentiable Functions without Monotonicity Intervals and Transcendental Numbers

A. N. Agadzhanov p. 219  abstract

Bitsadze–Samarskii Boundary Condition for Elliptic-Parabolic Volume Potential

T. Sh. Kal’menov, M. Otelbaev and G. D. Arepova p. 223  abstract

Failure of Structural Material as a Nonequilibrium Phase Transition

E. A. Lukashev, E. V. Radkevich, M. I. Sidorov and O. A. Vasil’eva p. 227  abstract

Hardy–Steklov Operators and Duality Principle in Weighted Sobolev Spaces of the First Order

Corresponding Member of the RAS V. D. Stepanov and E. P. Ushakova p. 232  abstract

Embeddings for Weighted Spaces of Functions of Positive Smoothness on Irregular Domains into Lebesgue Spaces

Corresponding Member of the RAS O. V. Besov p. 236  abstract

Schrödinger Equation as a Self-Consistent Field

V. V. Vedenyapin, T. S. Kazakova, V. Ya. Kisselevskaya-Babinina and Academician of the RAS B. N. Chetverushkin p. 240  abstract

Behavior of Trajectories in Localizing Sets

Corresponding Member of the RAS A. P. Krishchenko p. 243  abstract

Modeling a Decrease in Public Attention to a Past One-Time Political Event

A. P. Mikhailov, A. P. Petrov, G. B. Pronchev and O. G. Proncheva p. 247  abstract

Asymptotic Analysis of Solutions to a Riccati Equation

V. S. Samovol p. 250  abstract

Cut Generation Algorithm for the Discrete Competitive Facility Location Problem

V. L. Beresnev and A. A. Melnikov p. 254  abstract

On Functions with Zero Integral Moments over Balls of Fixed Radius

V. V. Volchkov and Vit. V. Volchkov p. 258  abstract

Estimation of the Absolute Error and Polynomial Solvability for a Classical NP-Hard Scheduling Problem

A. A. Lazarev and D. I. Arkhipov p. 262  abstract

Approximation of Solution Components for Ill-Posed Problems by the Tikhonov Method with Total Variation

Corresponding Member of the RAS V. V. Vasin and V. V. Belyaev p. 266  abstract

Homogenization of Boundary Value Problems in Plane Domains with Frequently Alternating Type of Nonlinear Boundary Conditions: Critical Case

J. I. Díaz, D. Gómez-Castro, A. V. Podolskiy and T. A. Shaposhnikova p. 271  abstract

Method of Linear Majorant in the Theory of Monotonic Entropy Operators

Academician of the RAS Yu. S. Popkov p. 277  abstract

Mathematical Physics

Wave Excitation in a Dissipative Medium with a Double Quadratically-Modular Nonlinearity: a Generalization of the Inhomogeneous Burgers Equation

Academician of the RAS O. V. Rudenko p. 279  abstract

Euler and Navier–Stokes Equations as Self-Consistent Fields

V. V. Vedenyapin, A. A. Andreeva and V. V. Vorobyeva p. 283  abstract

Bifurcation Diagram of the Two Vortices in a Bose–Einstein Condensate with Intensities of the Same Signs

S. V. Sokolov and P. E. Ryabov p. 286  abstract

Control Theory

Hamiltonian Formalism for the Problem of Optimal Motion Control under Multiple Criteria

Yu. A. Komarov and Academician of the RAS A. B. Kurzhanski p. 291  abstract

Optimal Control of the Motion of a Two-Mass System

Academician of the RAS F. L. Chernous’ko p. 295  abstract