Contents
Doklady Mathematics

Vol. 89, No. 2, 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 455, Nos. 1–6, 2014

Volume 89, March–April.

Mathematics

Initial–Boundary Value Problem for Isothermal Viscous Gas Equations

W. Weigant and P. I. Plotnikov p. 135  abstract

Rate of Convergence in Ergodic Theorems for the Planar Periodic Lorentz Gas

A. G. Kachurovskii and I. V. Podvigin p. 139  abstract

The Structure of 3-Manifolds of Complexity Zero

S. V. Matveev and D. O. Nikolaev p. 143  abstract

Density of Smooth Functions in Weighted Sobolev Spaces with Variable Exponent

M. D. Surnachev p. 146  abstract

Lax Operator Algebras of Type G₂

O. K. Sheinman p. 151  abstract

A Generalization of Metric, Normed, and Unitary Spaces

A. A. Borubaev p. 154  abstract

On the Regularity of the Poletskii Function under Weak Analytic Assumptions
on the Given Mapping

S. K. Vodop’yanov p. 157  abstract

On the Solvability of a Certain Class of Quadratic Matrix Equations

Kh. D. Ikramov p. 162  abstract

Strong Asymptotics of Two-Point Padé Approximants for Power-Like Multivalued Functions

A. V. Komlov and S. P. Suetin p. 165  abstract

Elementary Transformation Semigroups and Their Generating Equations

V. A. Kostin, A. V. Kostin, and D. V. Kostin p. 169  abstract

The Pompeiu Property and Approximation in L^p by Linear Combinations of Shifts

O. A. Ochakovskaya p. 173  abstract

Geometry of Electron Wave Functions in the Case of a Zero Magnetic Quantum Number

Yu. A. Aminov p. 176  abstract

Computational Determination of the Lowest Order Coefficient in a Parabolic Equation

P. N. Vabishchevich and V. I. Vasil’ev p. 179  abstract

Necessary and Sufficient Conditions for the Existence
of a Weighted Singular Value Decomposition of Matrices with Singular Weights

E. F. Galba, V. S. Deineka, and I. V. Sergienko p. 182  abstract

Cover-Based Combinatorial Bounds on Probability of Overfitting

A. I. Frey and I. O. Tolstikhin p. 185  abstract

The Coincidence Point Problem for Set-Valued Mappings and Ulam–Hyers Stability

A. V. Arutyunov p. 188  abstract

On the Geometricity of Distance-Regular Graphs without 4-Claws

A. A. Makhnev p. 192  abstract

Inviscid Solutions of the Multicomponent Euler System

E. V. Radkevich p. 197  abstract

An Upper Bound for the Number of Eigenvalues of a Non–Self-Adjoint Schrödinger Operator

S. A. Stepin p. 202  abstract

CABARET Scheme Modification Suppressing Oscillations of Difference Derivatives

M. V. Bartashevich and V. V. Ostapenko p. 206  abstract

Qualitative and Numerical Analysis of an Integral Equation
Arising in a Model of Stationary Communities

A. G. Bodrov and A. A. Nikitin p. 210  abstract

pth-Order Numerical Methods for Solving Systems of Nonlinear Equations

Yu. G. Evtushenko and A. A. Tret’yakov p. 214  abstract

Solution of Inverse Problems by the -Net Method on High-Performance Computers

D. P. Kostomarov, F. S. Zaitsev, E. P. Suchkov, and P. B. Bogdanov p. 218  abstract

On the Cauchy Problem for the Einstein–Maxwell Equation

V. V. Lychagin and V. A. Yumaguzhin p. 222  abstract

Estimation of Nonbinary Random Response

A. V. Bulinski and A. S. Rakitko p. 225  abstract

New Parallel Monte Carlo Algorithms for Computing the Dynamics of Charged Particles
in High-Temperature Plasma

D. P. Kostomarov, F. S. Zaitsev, F. A. Anikeev, and P. B. Bogdanov p. 230  abstract

On Graphs Whose Local Subgraphs Are Strongly Regular with Parameters (144, 39, 6, 12)

A. A. Makhnev and D. V. Paduchikh p. 235  abstract

Limit Functional-Differential Inclusions and the Invariance Principle
for Nonautonomous Systems with Delay

I. A. Finogenko p. 239  abstract

Mathematical Physics

Analytic Solution to the Problem of the Gaussian Beam Propagation through Nonuniform Gas

O. A. Nikolaeva and F. V. Shugaev p. 242  abstract

Detection and Dispersion of Diffusion Tracer Spots and Their Life Times

O. G. Chkhetiani and G. S. Golitsyn p. 245  abstract

Direct and Inverse Problems for Nonlinear One-Dimensional Poroelasticity Equations

Kh. Kh. Imomnazarov, Sh. Kh. Imomnazarov, P. V. Korobov, and A. E. Kholmurodov p. 250  abstract

Computer Science

Efficient Computation of Tolerances in the Weighted Independent Set Problem
for Some Classes of Graphs

D. S. Malyshev and P. M. Pardalos p. 253  abstract

Control Theory

Multimode Formation Stability

S. N. Vassilyev, R. I. Kozlov, and S. A. Ul’yanov p. 257  abstract

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