Contents
Doklady Mathematics

Vol. 70, No. 2, 2004

English language translation of the journal is available from MAIK “Nauka / Interperiodica” (Russia).
Doklady Mathematics ISSN 1064–5624.

Translated from Doklady Akademii Nauk, Volume 398, Nos. 1–6, 2004

Volume 70, September–October.

Mathematics

Approximation of Functions on the Sphere by Linear Combinations of Shifts

Vit. V. Volchkov p. 671  abstract

On Strengthening of the Sobolev Space ()

E. G. D’yakonov p. 674  abstract

The Khovanov Polynomial for Virtual Nodes

V. O. Manturov p. 679  abstract

The Maximum Entropy Principle and Algorithmic Randomness

V. P. Maslov and V. V. V’yugin p. 682  abstract

Existence Theorems in Unsteady Problems for Chemically Reacting Flows

V. N. Monakhov and M. I. Zhidkova p. 686  abstract

Some Properties of Monte Carlo Methods and Markov Processes
for the Inhomogeneous Boltzmann Equation

A. I. Khisamutdinov p. 690  abstract

On the Dirichlet Problem for a Fourth-Order Elliptic System of Two Equations in the Plane

G. Dzhangibekov and G. Khudzhanazarova p. 696  abstract

On Almost-Hypoelliptic Polynomials

G. G. Kazaryan p. 701  abstract

Application of the Theory of Sobolev-Type Elliptic Problems
in Spaces with Asymptotics to Constructing Self-Adjoint Extensions
of the Laplace Operator

M. V. Korovina p. 703  abstract

Some Overdetermined Systems of Partial Differential Equations
with Singular Points

L. G. Mikhailov p. 707  abstract

Analogs of Bernstein and Nikol’skii Inequalities for One Class
of Exponential-Type Entire Functions

S. S. Platonov p. 711  abstract

Smoothness of Generalized Solutions to Nonlocal Elliptic Problems on the Plane

P. L. Gurevich p. 714  abstract

Symmetries and Global Solvability of the Cauchy Problem
for the Gas Dynamics Equations of Isothermal Flows

V. V. Shelukhin and P. LeFloch p. 719  abstract

The Radon Transform over Locally Compact Abelian Groups

M. I. Graev p. 725  abstract

Global Behavior of Viscous Compressible Barotropic Symmetric Flows
with a Free Surface for a General Body Force

A. A. Zlotnik and B. Ducomet p. 730  abstract

Games with Common Intermediate Objectives

N. S. Kukushkin p. 735  abstract

Pseudodifferential Operators on Manifolds with Edges

V. E. Nazaikinskii, A. Yu. Savin, B. Yu. Sternin, and B.-W. Schulze p. 739  abstract

On the Wiener Criterion for Quasilinear Degenerate Parabolic Equations

I. I. Skrypnik p. 743  abstract

A Uniform Asymptotics of a Solution to the Boundary Value Problem
for a Singularly Perturbed Second-Order Equation with a Weak Singularity

K. Alymkulov and A. Z. Zulpukarov p. 747  abstract

Semigroups of Operators and Linear Relations

A. G. Baskakov p. 751  abstract

Quasi-Asymptotics and Spherical Representations of Generalized Functions

Yu. N. Drozhzhinov and B. I. Zavialov p. 754  abstract

Decompositions of Multiple Integrals into Linear Forms

S. A. Zlobin p. 758  abstract

Explicit Formulas for the Matrix with a Multiple Zero Eigenvalue Closest
to a Given Normal Matrix

Kh. D. Ikramov p. 762  abstract

Dirichlet–Neumann Problem for the Helmholtz Equation
outside the Cuts in a Plane

P. A. Krutitskii and K. V. Prozorov p. 765  abstract

A Method in Mathematical Demand Theory Connected
with the Monge–Kantorovich Duality

V. L. Levin p. 770  abstract

Method of Structural Matching the Solution to the Lighthill Model Equation
with a Regular Singular Point

K. Alymkulov and Zh. K. Zheentaeva p. 774  abstract

On Distribution Semigroups with a Singularity at Zero and Bounded Solutions
to Differential Inclusions

A. G. Baskakov and K. I. Chernyshov p. 778  abstract

On an Infinite-Dimensional Variant of the Chow–Rashevskii Theorem

Yu. S. Ledyaev p. 782  abstract

The Solvability of the Heat Problem with a Nonlocal Mean Time Condition

A. Yu. Popov and I. V. Tikhonov p. 785  abstract

Mathematical Physics

Nonclassical (Noninvariant) Traveling-Wave Solutions and Self-Similar Solutions

A. D. Polyanin p. 790  abstract

Semianalytic Coordinate Sequences for Solving Dirichlet Boundary Value Problems
in Domains of Complex Shape

M. A. Basarab and V. F. Kravchenko p. 794  abstract

Construction of Asymptotic Solutions in the Autoresonance Problem

R. N. Garifullin p. 799  abstract

The Problem of Electromagnetic Field Diffraction in a Cylindrical Domain

A. L. Delitsyn p. 803  abstract

Conservation Laws in Quantum Systems on a Torus

V. V. Kozlov and D. V. Treshchev p. 807  abstract

Properties of Relaxation Oscillations in One Biophysical Problem

Yu. S. Kolesov and A. G. Peretrukhin p. 811  abstract

An Exact Model of High-Temperature Superconductivity

V. P. Maslov p. 814  abstract

The Compton Effect in the Theory of Radiation Transport

D. S. Anikonov and D. S. Konovalova p. 818  abstract

Taking Account of Repulsion for a Model of High-Temperature Conductivity
and Superfluidity of a Bose Gas on a Crystal Substrate:
Phase Transition of Zeroth Kind

V. P. Maslov p. 822  abstract

Computer Science

A Method for Independent Component Analysis Based on the Independence Transformation

O. V. Goryachkin and S. Ya. Shatskikh p. 827  abstract

Control Theory

Asymptotic Observers for Some Classes of Bilinear Systems with Linear Output

S. K. Korovin and V. V. Fomichev p. 830  abstract

Synthesis of Optimal Signals for Lipschitzian Bang-Bang Actuators of Dynamic Systems

R. Gabasov, F. M. Kirillova, and N. N. Kavalionak p. 835  abstract

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