Contents
Doklady Mathematics


Vol. 90, No. 3, 2014

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 459, Nos. 1–6, 2014


Volume 90, November–December.

Mathematics

Oscillation Properties of the Eigenfunctions of Fourth-Order Completely
Regular Sturmian Systems

Z. S. Aliev and E. A. Agaev p. 657  abstract

Pullback Attractors for a Model of Motion of Weak Aqueous Polymer Solutions

V. G. Zvyagin and S. K. Kondratyev p. 660  abstract

On the Semigroups of Translations and Deformations in Anisotropic Function Spaces
with Uniform Metric

V. A. Kostin, D. V. Kostin, and A. V. Kostin p. 663  abstract

On the Theory of a Class of Volterra-Type Integral Equations
with a Fixed Boundary Singularity in the Kernel

N. Rajabov p. 666  abstract

A Generalization of the Hajnal–Szemerédi Theorem for Uniform Hypergraphs

D. A. Shabanov p. 671  abstract

Methods of Mathematical Statistics in Two-Parameter Analysis of Rician Signals

T. V. Yakovleva and N. S. Kulberg p. 675  abstract

The Existence and Nonexistence of Global Solutions of the Cauchy Problem
for Klein–Gordon Systems

A. B. Aliev and A. A. Kazimov p. 680  abstract

Integral Representations of Holomorphic Functions with a Fixed Point

I. I. Bavrin p. 683  abstract

Widths of Weighted Sobolev Classes Whose Weights Are Functions of the Distance to an h-Set

A. A. Vasil’eva p. 685  abstract

Virtual Discharge: Integrated Modeling Environment for Supporting Numerical Experiments
with Gas Discharge Plasmas

D. P. Kostomarov, S. V. Stepanov, and A. G. Shishkin p. 688  abstract

Automorphisms of a Graph with Intersection Array {115, 96, 30, 1; 1, 10, 96, 115}

A. A. Makhnev, D. V. Paduchikh, and M. S. Samoilenko p. 692  abstract

Logical Aspects of the Theory of Divisible Rigid Groups

A. G. Myasnikov and N. S. Romanovskii p. 697  abstract

Sum of Short Exponential Sums over Prime Numbers

Z. Kh. Rakhmonov and F. Z. Rakhmonov p. 699  abstract

Edge-Symmetric Semitriangular Higman Graphs

N. D. Zyulyarkina and A. A. Makhnev p. 701  abstract

Simulation of Combined High-Frequency Gas Discharges:
Influence of the Setup Configuration on Discharge Characteristics

D. P. Kostomarov, S. V. Stepanov, and A. G. Shishkin p. 706  abstract

Escort Distribution, Energy, and Relative Entropy of Macrosystems
with Nonlinear Pair Interactions

Yu. A. Pykh p. 710  abstract

A Generalization of Levinson’s Uniqueness Theorem
to the Case of General Boundary Conditions

V. A. Sadovnichii, Ya. T. Sultanaev, and A. M. Akhtyamov p. 715  abstract

On Quasi-Gasdynamic and Quasi-Hydrodynamic Equations for Binary Gas Mixtures

T. G. Elizarova, A. A. Zlotnik, and B. N. Chetverushkin p. 719  abstract

A Complex Analogue of the Central Limit Theorem and a Probabilistic Approximation
of the Feynman Integral

I. A. Ibragimov, N. V. Smorodina, and M. M. Faddeev p. 724  abstract

Normality Conditions for Matrix Equations of the Sylvester Type

Kh. D. Ikramov p. 727  abstract

A Three-Term Identity for Products of Three Theta Functions

V. A. Bykovskii p. 730  abstract

Solution of the Cauchy Problem for Two Descriptive Equations with Fredholm Operator

S. P. Zubova and E. V. Raetskaya p. 732  abstract

Formulas for the Solution of the Cauchy Problem for a Singular Wave Equation
with Bessel Time Operator

L. N. Lyakhov, I. P. Polovinkin, and E. L. Shishkina p. 737  abstract

On Automorphisms of a Distance-Regular Graph with Intersection Array {33, 30, 15; 1, 2, 15}

A. A. Makhnev p. 743  abstract

Inhomogeneous Factorized Second-Order Hyperbolic Equation in a Quarter of the Plane
with a Seminonstationary Factorized Second Directional Derivative in the Boundary Condition

E. I. Moiseev, F. E. Lomovtsev, and E. N. Novikov p. 748  abstract

Embedding of a Weighted Sobolev Space and Properties of the Domain

O. V. Besov p. 754  abstract

Reconstruction of Discontinuities in a Problem of Integral Geometry

V. G. Romanov p. 758  abstract

A Problem Related to Asymptotic Attainability in the Mean

A. G. Chentsov and A. P. Baklanov p. 762  abstract

Arithmetic Properties of Polyadic Series with Periodic Coefficients

V. G. Chirskii p. 766  abstract


Mathematical Physics

Self-Interaction Model of Classical Point Particle in One-Dimension

V. A. Malyshev and S. A. Pirogov p. 769  abstract

High-Performance Parallel Algorithms Based on Smoothed Particles Hydrodynamics
for Solving Continuum Mechanics Problems

N. M. Evstigneev, F. S. Zaitsev, and O. I. Ryabkov p. 773  abstract

Numerical Simulation of Wave Propagation in Anisotropic Media

I. B. Petrov, A. V. Favorskaya, A. V. Vasyukov, A. S. Ermakov,
K. A. Beklemysheva, A. O. Kazakov, and A. V. Novikov
p. 778  abstract

Grid-Characteristic Method on Unstructured Tetrahedral Grids

I. B. Petrov, A. V. Favorskaya, M. V. Muratov, V. A. Biryukov, and A. V. Sannikov p. 781  abstract

Generalized Bragg–Williams Equation for Systems with an Arbitrary Long-Range Interaction

B. V. Kryzhanovsky and L. B. Litinskii p. 784  abstract


Computer Science

Application of Methods of Self-Organization Theory to Problems of Profiling
and Configuring Computational Systems

V. V. Kondrat’ev and D. V. Zhevnerchuk p. 788  abstract

Effective Hull of a Set and Its Approximation

Yu. G. Evtushenko and M. A. Posypkin p. 791  abstract


Control Theory

Properties of Value Functions in Impulse Control Problems

A. N. Daryin p. 795  abstract


Errata

Erratum to: “The Multiple de la Vallé-Poussin Problem on Convex Domains in the Kernel
of the Convolution Operator” [Doklady Mathematics 90 (2), 581–583 (2014)]

K. R. Zimens and V. V. Napalkov p.800


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