Contents
Doklady Mathematics

Vol. 93, No. 1, 2016

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

Translated from Doklady Akademii Nauk, Volume 466, Nos. 1–6, 2016

Volume 93, January–February.

Mathematics

Neumann Problem for the Lavrent’ev–Bitsadze Equation with Two Type-Change Lines
in a Rectangular Domain

A. A. Gimaltdinova p. 1  abstract

Large Deviations and Rates of Convergence in the Birkhoff Ergodic Theorem:
From Hölder Continuity to Continuity

A. G. Kachurovskii and I. V. Podvigin p. 6  abstract

Method of Limit Differential Equations for Nonautonomous Discontinuous Systems

I. A. Finogenko p. 9  abstract

Spaces of Functions of Positive Smoothness on Irregular Domains

O. V. Besov p. 13  abstract

Trace and Integrable Operators Affiliated with a Semifinite von Neumann Algebra

A. M. Bikchentaev p. 16  abstract

Model Oblique Derivative Problem for the Heat Equation in the Zygmund Space H₁

A. N. Konenkov p. 20  abstract

Harmonic Morphisms of Graphs and the Riemann–Hurwitz Theorem

A. D. Mednykh and R. Nedela p. 23  abstract

On Approximation and Computation of Modified Bessel Functions of Complex Order

Yu. M. Rappoport p. 27  abstract

Arithmetic Sums of Polynomial Values

V. N. Chubarikov p. 31  abstract

Self-Organization under the Action of a Random Force

M. L. Blank p. 33  abstract

Face Recognition Based on a Matching Algorithm with Recursive Calculation
of Oriented Gradient Histograms

A. V. Vokhmintcev, I. V. Sochenkov, V. V. Kuznetsov, and D. V. Tikhonkikh p. 37  abstract

Lyapunov Dimension Formula for the Attractor of the Glukhovsky–Dolzhansky System

G. A. Leonov and T. N. Mokaev p. 42  abstract

Representations of Regularized Determinants of Exponentials of Differential Operators
by Functional Integrals

V. A. Sadovnichii, O. G. Smolyanov, and E. T. Shavgulidze p. 46  abstract

Some Boundary Value Problems for Pseudodifferential Equations with Degeneration

A. D. Baev and P. A. Kobilinskiy p. 49  abstract

Spectral Problem with Steklov Condition on a Thin Perforated Interface

R. R. Gadyl’shin, A. L. Piatnitski, and G. A. Chechkin p. 52  abstract

Boundary Criterion for Integral Operators

T. Sh. Kal’menov and M. Otelbaev p. 58  abstract

One-Point Commuting Difference Operators of Rank 1

G. S. Mauleshova and A. E. Mironov p. 62  abstract

The Number of Edge Covers of Bipartite Graphs or of Shortest Paths with Fixed Endpoints
in the Space of Compact Sets in Rⁿ

Z. N. Ovsyannikov p. 65  abstract

On the Monotonicity of the CABARET Scheme Approximating a Scalar Conservation Law
with a Convex Flux

N. A. Zyuzina and V. V. Ostapenko p. 69  abstract

Representations of Solutions of Lindblad Equations by Randomized Feynman Formulas

O. O. Obrezkov and O. G. Smolyanov p. 74  abstract

On Weighted Sobolev Spaces on the Real Line

D. V. Prokhorov, V. D. Stepanov, and E. P. Ushakova p. 78  abstract

On the Solvability of Inverse Sturm–Liouville Problems with Self-Adjoint Boundary Conditions

V. A. Sadovnichy, Ya. T. Sultanaev, and A. M. Akhtyamov p. 82  abstract

On the Solvability in a Weighted Space of an Initial–Boundary Value Problem
for a Third-Order Operator-Differential Equation with a Parabolic Principal Part

A. R. Aliev and F. S. Lachinova p. 85  abstract

Mathematical Physics

Generalization of the Optical Theorem to a Singular Source in the Presence of a Half-Space

Yu. A. Eremin p. 89  abstract

Self-Similar Solutions of a Burgers-Type Equation with Quadratically Cubic Nonlinearity

O. V. Rudenko and V. A. Gusev p. 94  abstract

Maslov’s Canonical Operator in Arbitrary Coordinates on the Lagrangian Manifold

S. Yu. Dobrokhotov, V. E. Nazaikinskii, and A. I. Shafarevich p. 99  abstract

An Algorithm for Computing Wavefront Amplitudes and Inverse Problems
(Tsunami, Electrodynamics, Acoustics, and Viscoelasticity)

S. I. Kabanikhin and O. I. Krivorotko p. 103  abstract

Excitation of Spatiotemporal Structures in Elastic Electroactive Contractile Fibers

V. A. Kostin and G. V. Osipov p. 108  abstract

Computer Science

Geometrically Adaptive Grids for Stiff Cauchy Problems

A. A. Belov, N.N. Kalitkin, and I. P. Poshivaylo p. 112  abstract

On the Asymptotic Optimality of a Solution of the Euclidean Problem of Covering a Graph
by m Nonadjacent Cycles of Maximum Total Weight

E. Kh. Gimadi and I. A. Rykov p. 117  abstract

Control Theory

Stabilization of Nonlinear Discrete-Time Dynamic Control Systems
with a Parameter and State-Dependent Coefficients

S. V. Emel’yanov, Yu. E. Danik, M. G. Dmitriev, and D. A. Makarov p. 121  abstract

Sufficient Conditions for Invertibility of Linear Stationary Systems

A. V. Il’in, E. I. Atamas’, and V. V. Fomichev p. 124  abstract

Errata

Erratum to: “Derivation of Preservation Conditions for Properties of Mathematical Models”
[Doklady Mathematics 92, 658 (2015)]

S. N. Vassilyev, A. E. Druzhinin, and N. Yu. Morozov p. 127

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