Contents

Doklady Mathematics

Vol. 96, No. 1, 2017

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

Mathematics

Banach Limits: Invariance and Functional Characteristics

E. A. Alekhno, E. M. Semenov, F. A. Sukochev and A. S. Usachev p. 305  abstract

On Long-Time Asymptotics of Solutions of Parabolic Equations with Increasing Leading Coefficients

V. N. Denisov p. 308  abstract

On Modality of Representations

V. L. Popov p. 312  abstract

Boundedness of Quasilinear Integral Operators of Iterated Type with Oinarov’s Kernel on the Cone of Monotone Functions

Corresponding Member of the RAS V. D. Stepanov and G. E. Shambilova p. 315  abstract

On the Concentration of the Chromatic Number of a Random Hypergraph

D. A. Shabanov p. 321  abstract

Spectra of First-Order Formulas with a Low Quantifier Depth and a Small Number of Quantifier Alternations

M. E. Zhukovskii and A. D. Matushkin p. 326  abstract

On Problem of the Dynamics of a Viscoelastic Medium with Memory on an Infinite Interval

V. G. Zvyagin and V. P. Orlov p. 329  abstract

On the Periodicity of Continued Fractions in Elliptic Fields

Academician of the Russian Academy of Sciences V. P. Platonov and G. V. Fedorov p. 332  abstract

Improvements of the Frankl–Rödl Theorem and Geometric Consequences

R. I. Prosanov, A. M. Raigorodskii and A. A. Sagdeev p. 336  abstract

On Spectral-Like Resolution Properties of Fourth-Order Accurate Symmetric Bicompact Schemes

B. V. Rogov and M. D. Bragin p. 339  abstract

Homogenization of the Boundary Value Problem for the Laplace Operator in a Perforated Domain with a Rapidly Oscillating Nonhomogeneous Robin-Type Condition on the Boundary of Holes in the Critical Case

M. N. Zubova and T. A. Shaposhnikova p. 344  abstract

The Graph Kre(4) Does Not Exist

Corresponding Member of the Russian Academy of Sciences A. A. Makhnev p. 348  abstract

Turán-Type Bounds for Distance Graphs

L. E. Shabanov and A. M. Raigorodskii p. 351  abstract

On the Number of Edges in a Uniform Hypergraph with a Range of Permitted Intersections

A. V. Bobu, A. E. Kupriyanov and A. M. Raigorodskii p. 354  abstract

Integral Representation of Solutions of the Moisil–Théodorescu System in Multiply Connected Domains

V. A. Polunin and A. P. Soldatov p. 358  abstract

Continuous Selection from the Sets of Best and Near-Best Approximation

I. G. Tsar’kov p. 362  abstract

On the Existence of Solutions to a Class of Boundary Value Problems in a Strip for High-Order Degenerate Elliptic Equations

A. D. Baev and V. V. Pankov p. 365  abstract

Feynman Path Integrals and Lebesgue–Feynman Measures

J. Montaldi and O. G. Smolyanov p. 368  abstract

Asymptotic Integration of the Riccati Equation by Methods of Power Geometry

V. S. Samovol p. 373  abstract

On Global Solvability of Initial Value Problem for Hyperbolic Monge–Ampère Equations and Systems

D. V. Tunitsky p. 377  abstract

On the Accuracy of a posteriori Functional Error Majorants for Approximate Solutions of Elliptic Equations

V. G. Korneev p. 380  abstract

Fokker–Planck–Kolmogorov Equations with a Partially Degenerate Diffusion Matrix

O. A. Manita, M. S. Romanov and S. V. Shaposhnikov p. 384  abstract

On Eigenfunctions of a Convolution Operator on a Finite Interval for Which the Fourier Image of the Kernel Is the Characteristic Function

A. A. Polosin p. 389  abstract

On the Nature of the Rayleigh–Bénard Convective Instability

E. V. Radkevich, E. A. Lukashev, N. N. Yakovlev and O. A. Vasil’eva p. 393  abstract

Mathematical Physics

One-Dimensional Model of KZ-Type Equations for Waves in the Focal Region of Cubic and Quadratically-Cubic Nonlinear Media

Academician of the RAS O. V. Rudenko p. 399  abstract

Restoration of a Potential from Noisy Spectral Data

V. V. Ternovskii, T. M. Khapaeva and M. M. Khapaev p. 403  abstract

The Maslov Canonical Operator on a Pair of Lagrangian Manifolds and Asymptotic Solutions of Stationary Equations with Localized Right-Hand Sides

A. Yu. Anikin, S. Yu. Dobrokhotov, Corresponding Member of the RAS V. E. Nazaikinskii and M. Rouleux p. 406  abstract

Computer Science

Optimization of an Energy Market Transportation System

A. A. Vasin, O. M. Grigoryeva and N. I. Tsyganov p. 411  abstract

Control Theory

Negative Solution of the Kalman Problem and Proof of the Existence of a Hidden Strange Attractor via a Discontinuous Approximation Method

Corresponding Member of the RAS G. A. Leonov and R. N. Mokaev p. 415  abstract

Problems of Computing Norms of 2D Systems

V. V. Pozdyayev p. 419  abstract