Contents

Doklady Mathematics

Vol. 102, No. 2, 2020

Mathematics

Uniqueness of Solutions to Initial Boundary Value Problems for Parabolic Systems in Plane Bounded Domains with Nonsmooth Lateral Boundaries

E. A. Baderko and M. F. Cherepova p. 357  abstract

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

M. D. Bragin and B. V. Rogov p. 360  abstract

Three-Dimensional Analogues of the Heath-Brown and Selberg Identities

Corresponding Member of the RAS V. A. Bykovskii and A. V. Ustinov p. 364  abstract

Two-Stage Method for Solving Systems of Nonlinear Equations and Its Applications to the Inverse Atmospheric Sounding Problem

Corresponding Member of the RAS V. V. Vasin and G. G. Skorik p. 367  abstract

Composition Operators on Weighted Sobolev Spaces and the Theory of ${{\mathcal{Q}}_{p}}$-Homeomorphisms

S. K. Vodopyanov p. 371  abstract

An Almost Exact Linear Algorithm for Transformation of Chain-Cycle Graphs with Optimization of the Sum of Operation Costs

K. Yu. Gorbunov and V. A. Lyubetsky p. 376  abstract

On the Chromatic Numbers of Random Hypergraphs

Yu. A. Demidovich and D. A. Shabanov p. 380  abstract

On the Convergence of Probabilities of First-Order Sentences for Recursive Random Graph Models

M. E. Zhukovskii and Yu. A. Malyshkin p. 384  abstract

Numerical Solution of Scalar Diffraction Problems in Integral Statements on Spectra of Integral Operators

A. A. Kashirin and Corresponding Member of the RAS S. I. Smagin p. 387  abstract

Kirchhoff Index for Circulant Graphs and Its Asymptotics

A. D. Mednykh and I. A. Mednykh p. 392  abstract

Representations of $\zeta (2n + 1)$ and Related Numbers in the Form of Definite Integrals and Rapidly Convergent Series

K. A. Mirzoev and T. A. Safonova p. 396  abstract

Absence of Global Periodic Solutions for a Schrödinger-Type Nonlinear Evolution Equation

Sh. M. Nasibov p. 401  abstract

On Alternating Quasipositive Links

S. Yu. Orevkov p. 403  abstract

Bilinear Weighted Inequalities with Two-Dimensional Operators

Corresponding Member of the RAS V. D. Stepanov and G. E. Shambilova p. 406  abstract

Adaptive Mesh Refinement Simulations of Gas Dynamic Flows on Hybrid Meshes

S. A. Soukov p. 409  abstract

Arithmetic Properties of Euler-Type Series with a Liouvillian Polyadic Parameter

V. G. Chirskii p. 412  abstract

Computer Science

3D Filtering of Images Corrupted by Additive-Multiplicative Noise

V. F. Kravchenko, V. I. Ponomaryov, Academician of the RAS V. I. Pustovoit and A. Palacios-Enriquez p. 414  abstract

Double Potential Method for Modeling the Internal Flow of a Viscous Incompressible Liquid

S. V. Polyakov, T. A. Kudryashova and N. I. Tarasov p. 418  abstract

Control Processes

Forecasting a Cyclical Downturn (Recession) in the US Economy Using a Mathematical Model of Hyman Minsky’s Theory of Financial Instability

Foreign Member of the RAS A. A. Akaev and Academician of the RAS V. A. Sadovnichii p. 422  abstract

Explicit Solutions for a Series of Optimization Problems with 2-Dimensional Control via Convex Trigonometry

A. A. Ardentov, L. V. Lokutsievskiy and Yu. L. Sachkov p. 427  abstract

Deviation of an Object with a Striking Device from a Visibility Area of an Observer in ${{\mathbb{R}}^{3}}$

Academician of the RAS V. I. Berdyshev p. 433  abstract

An Approach to the Stabilization Problem of a Parametrically Uncertain Linear Nonstationary System

Corresponding Member of RAS A. V. Ilin, P. A. Krylov and A. S. Fursov p. 436  abstract

New Cases of Homogeneous Integrable Systems with Dissipation on Tangent Bundles of Two-Dimensional Manifolds

M. V. Shamolin p. 443  abstract