Contents
Doklady Mathematics


Vol. 74, No. 2, 2006

English language translation of the journal is available from Pleiades Publishing, Inc.
Distributed worldwide by Springer. Doklady Mathematics ISSN 1064–5624.

Translated from Doklady Akademii Nauk, Volume 410, Nos. 1–6, 2006


Volume 74, September–October.

Mathematics

Existence and Uniqueness of Global Weak Solutions to the Equations Describing
the Longitudinal Oscillations of a Viscoelastoplastic Ishlinskii Material

A. A. Amosov and I. A. Goshev p. 623  abstract

A Further Generalization of the Continued Fraction

A. D. Bruno and V. I. Parusnikov p. 628  abstract

A Criterion for the Unitary Congruence of Conjugate-Normal Matrices

Kh. D. Ikramov p. 633  abstract

Uniform Distribution of Sequences with Respect to the Voronoi and Riesz Methods

G. A. Kalyabin p. 635  abstract

Unique Determination of Convex Polyhedral Domains by Relative
Conformal Moduli of Boundary Condensers

A. P. Kopylov p. 637  abstract

Asymptotic Solution of the Restricted Bounded Three-Body Problem
with a Mass Point Moving near a Small-Mass Body

A. E. El’bert p. 640  abstract

On Strongly Regular Graphs with = 1 and Their Automorphisms

I. N. Belousov and A. A. Makhnev p. 644  abstract

Stochastic Integral over the Arratia Flow

A. A. Dorogovtsev p. 648  abstract

A Dedekind Criterion for Arbitrary Valuation Rings

Yu. L. Ershov p. 650  abstract

Stability Estimate for the Solution to the Elasticity Equations
with Data on a Timelike Surface

V. G. Romanov p. 653  abstract

Monte Carlo Methods for Solving Elliptic Equations with Boundary Conditions
Containing the Normal Derivative

N. A. Simonov p. 656  abstract

Expansions of Solutions to the Sixth Painlevé Equation in the Cases a = 0 and b = 0

A. D. Bruno and I. V. Goryuchkina p. 660  abstract

Uniqueness of the Determination of the Right-Hand Side
in Multidimensional Parabolic Equations with a Final Observation

N. L. Gol’dman p. 666  abstract

On Sobolev-Type Equations with Critical Nonlinearities

E. I. Kaikina, P. I. Naumkin, and I. A. Shishmarev p. 672  abstract

Chaotic Invariant Sets of Vibro-Impact Systems with One Degree of Freedom

S. G. Kryzhevich p. 676  abstract

The Green Function for Domains of Irregular Shape and Singular Integral Equations

I. K. Lifanov, Yu. A. Mel’nikov, and A. S. Nenashev p. 678  abstract

On Sums of Independent Random Variables without Power Moments

S. V. Nagaev and V. I. Vakhtel p. 683  abstract

Differentiability of Curves in the Category of Carnot Manifolds

S. K. Vodop’yanov p. 686  abstract

Local Growth Envelopes and Optimal Embeddings of Generalized Sobolev Spaces

M. L. Gol’dman p. 692  abstract

Necessary and Sufficient Conditions for a Curve to Be an Image
of the Gradient of a C1 Function

M. V. Korobkov and E. Yu. Panov p. 696  abstract

The Skitovich–Darmois Equation in the Classes of Continuous
and Measurable Functions

M. V. Mironyuk and G. M. Feldman p. 700  abstract

On a Nonlinear Evolution Schrödinger–Hartree Equation

Sh. M. Nasibov p. 704  abstract

On the Best Approximation and Exact Evaluation of the Widths of Some Classes
of Functions in the Bergman Space Bp, 1 < equal p < equal

M. Sh. Shabozov and O. Sh. Shabozov p. 708  abstract

Power Asymptotics of Solutions to an ODE System

A. D. Bruno p. 712  abstract

On the Homogenization of Degenerate Elliptic Equations

V. V. Zhikov, S. E. Pastukhova, and S. V. Tikhomirova p. 716  abstract

Criteria for the Exponential Stability of Nonlinear Integral and Differential Equations with Delay

A. A. Zevin p. 721  abstract

Properties of C1-Smooth Functions Whose Gradients Have Nowhere Dense Images

M. V. Korobkov p. 725  abstract

Continuation of Functions from Principal Invariant Subspaces

A. S. Krivosheev p. 728  abstract

On Integral-Algebraic Systems of Equations with Cauchy Operators

P. A. Krutitskii p. 731  abstract

Problem of Bitsadze–Samarskii Type for Second-Order Elliptic Systems in the Plane

A. P. Soldatov p. 736  abstract

Solutions with Singularities as Almost Solutions

V. M. Miklyukov p. 741  abstract

On Numbers with Missing Digits: Solvability of the Comparison x1x2 (mod p)

N. G. Moshchevitin p. 744  abstract

Entire Functions of Exponential Type Represented by Using the Gamma Function

V. V. Napalkov and S. G. Merzlyakov p. 748  abstract

Estimate for the Solution to the Cauchy Problem for an Ultrahyperbolic Inequality

V. G. Romanov p. 751  abstract

Order-Optimality of the Projection Regularization Method as Applied
to Conditionally Well-Posed Problems

V. P. Tanana p. 755  abstract


Mathematical Physics

Representation of Quantum Field Theory as Classical Statistical Mechanics for Field Functionals

A. Yu. Khrennikov p. 758  abstract

On Integral and Differential Factorization Methods

V. A. Babeshko, O. M. Babeshko, and O. V. Evdokimova p. 762  abstract

Study of the Structure of Solutions to Nonlinear Wave Equations Based
on Continuous Wavelet Analysis

V. F. Kravchenko, O. V. Lazorenko, V. I. Pustovoit, and L. F. Chernogor p. 767  abstract


Computer Science

Numerical Integration of Functions with Singularities

E. A. Alshina, N. N. Kalitkin, I. A. Panin, and I. P. Poshivailo p. 771  abstract

Measure of Information in Fuzzy and Partially Defined Data

L. A. Sholomov p. 775  abstract


Control Theory

Optimal Control of Linear Systems with Delay

N. V. Balashevich, R. Gabasov, and F. M. Kirillova p. 780  abstract


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