Contents

Doklady Mathematics

Vol. 100, No. 3, 2019

Mathematics

Generalized Localization for Spherical Partial Sums of Multiple Fourier Series

R. R. Ashurov p. 505  abstract

Optimal Control and Maximum Principle in (B)-Spaces. Examples for PDE in (H)-Spaces and ODE in ${{\mathbb{R}}^{n}}$

A. I. Prilepko p. 508  abstract

Factor Model for the Study of Complex Processes

Academician B. N. Chetverushkin and V. A. Sudakov p. 514  abstract

Combined DG Scheme That Maintains Increased Accuracy in Shock Wave Areas

M. E. Ladonkina, O. A. Nekliudova, V. V. Ostapenko and Corresponding Member of the RAS V. F. Tishkin p. 519  abstract

Complete Radon–Kipriyanov Transform: Some Properties

L. N. Lyakhov, M. G. Lapshina and S. A. Roshchupkin p. 524  abstract

Constructing a Numerically Statistical Model of a Homogeneous Random Field with a Given Distribution of the Integral over One of the Phase Coordinates

Corresponding Member of the RAS G. A. Mikhailov, E. G. Kablukova, V. A. Ogorodnikov and S. M. Prigarin p. 529  abstract

Stability Defect Estimation for Sets in a Game Approach Problem at a Fixed Moment of Time

Corresponding Member of the RAS V. N. Ushakov and A. G. Malev p. 533  abstract

On a Characterization Theorem on a-adic Solenoids

G. M. Feldman p. 538  abstract

On the Estimation of Coefficients of Irreducible Factors of Polynomials over a Field of Formal Power Series in Nonzero Characteristic

A. L. Chistov p. 542  abstract

NP-Hardness of Quadratic Euclidean 1-Mean and 1-Median 2-Clustering Problem with Constraints on the Cluster Sizes

A. V. Kel’manov, A. V. Pyatkin and V. I. Khandeev p. 545  abstract

Weighted Grand Lebesgue Space with a Mixed Norm and Integral Operators

V. M. Kokilashvili p. 549  abstract

On the Dirichlet Problem for an Elliptic Functional Differential Equation with Affine Transformations of the Argument

L. E. Rossovskii and A. A. Tovsultanov p. 551  abstract

Discrete Bilinear Hardy Inequalities

P. Jain, Corresponding Member of the RAS V. D. Stepanov and G. E. Shambilova p. 554  abstract

Identities on Algebras and Combinatorial Properties of Binary Words

M. V. Zaicev and D. D. Repovš p. 558  abstract

On Mutually Inverse Transforms of Functions on a Half-Line

Corresponding Member of the RAS V. Yu. Protasov and M. E. Shirokov p. 560  abstract

Method for Estimating the Hurst Exponent of Fractional Brownian Motion

A. V. Savitskii p. 564  abstract

On the Gardner Problem for Phase-Locked Loops

N. V. Kuznetsov, M. Y. Lobachev, M. V. Yuldashev and R. V. Yuldashev p. 568  abstract

Solidification of Binary Alloys and Nonequilibrium Phase Transitions

E. V. Radkevich, O. A. Vasil’eva and M. I. Sidorov p. 571  abstract

Kinetic Algorithms for Modeling Conductive Fluids Flow on High-Performance Computing Systems

RAS Academician B. N. Chetverushkin, A. V. Saveliev and V. I. Saveliev p. 577  abstract

Mathematical Physics

On One Method for Constructing Exact Solutions of Nonlinear Equations of Mathematical Physics

A. D. Polyanin and A. I. Zhurov p. 582  abstract

Numerical Modeling of Wave Processes in Multilayered Media with Gas-Containing Layers: Comparison of 2D and 3D Models

P. V. Stognii, N. I. Khokhlov and Corresponding Member of the RAS I. B. Petrov p. 586  abstract

Computer Science

Simulation of an Inhomogeneous Plasma Microfield

A. A. Belov and Corresponding Member of the RAS N. N. Kalitkin p. 589  abstract

Duality Principle and New Forms of the Inverse Laplace Transform for Signal Propagation Analysis in Inhomogeneous Media with Dispersion

A. G. Pavelyev and A. A. Pavelyev p. 594  abstract