Contents
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 Eng./Russ.
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 623 7 A Further Generalization of the Continued Fraction
A. D. Bruno and V. I. Parusnikov 628 12 A Criterion for the Unitary Congruence of Conjugate-Normal Matrices
Kh. D. Ikramov 633 17 Uniform Distribution of Sequences with Respect to the Voronoi and Riesz Methods
G. A. Kalyabin 635 19 Unique Determination of Convex Polyhedral Domains by Relative
Conformal Moduli of Boundary Condensers
A. P. Kopylov 637 21 Asymptotic Solution of the Restricted Bounded Three-Body Problem
with a Mass Point Moving near a Small-Mass Body
A. E. El'bert 640 24 On Strongly Regular Graphs with and Their Automorphisms
I. N. Belousov and A. A. Makhnev 644 151 Stochastic Integral over the Arratia Flow
A. A. Dorogovtsev 648 156 A Dedekind Criterion for Arbitrary Valuation Rings
Yu. L. Ershov 650 158 Stability Estimate for the Solution to the Elasticity Equations
with Data on a Timelike Surface
V G. Romanov 653 161 Monte Carlo Methods for Solving Elliptic Equations with Boundary Conditions
Containing the Normal Derivative
N. A. Simonov 656 164 Expansions of Solutions to the Sixth Painleve Equation in the Cases a = 0 and b = 0
A. D. Bruno and I. V. Goryuchkina 660 295 Uniqueness of the Determination of the Right-Hand Side
in Multidimensional Parabolic Equations with a Final Observation
N. L. Gol'dman 666 301 On Sobolev-Type Equations with Critical Nonlinearities
E. 1. Kaikina, P. I. Naumkin, and I. A. Shishmarev 672 307 Chaotic Invariant Sets of Vibro-Impact Systems with One Degree of Freedom
S. G. Kryzhevich 676 311 The Green Function for Domains of Irregular Shape and Singular Integral Equations
I. K. Lifanov, Yu. A. Mel'nikov, and A. S. Nenashev 678 313 On Sums of Independent Random Variables without Power Moments
S. V Nagaev and V. I. Vakhtel 683 318
Differentiability of Curves in the Category of Carnot Manifolds
S. K. Vodop'yanov 686 439 Local Growth Envelopes and Optimal Embeddings of Generalized Sobolev Spaces
M. L. Gol'dman 692 445 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 696 449 The Skitovich-Darmois Equation in the Classes of Continuous
and Measurable Functions
M. V. Mironyuk and G. M. Feldman 700 453 On a Nonlinear Evolution Schrodinger-Hartree Equation
Sh. M. Nasibov 704 457 On the Best Approximation and Exact Evaluation of the Widths of Some Classes
of Functions in the Bergman Space Bp,
M. Sh. Shabozov and O. Sh. Shabozov 708 461 Power Asymptotics of Solutions to an ODE System
A. D. Bruno 712 583 On the Homogenization of Degenerate Elliptic Equations
V. V. Zhikov, S. E. Pastukhova, and S. V. Tikhomirova 716 587 Criteria for the Exponential Stability of Nonlinear Integral and Differential Equations with Delay
A. A. Zevin 721 592 Properties of C1-Smooth Functions Whose Gradients Have Nowhere Dense Images
M. V. Korobkov 725 596 Continuation of Functions from Principal Invariant Subspaces
A. S. Krivosheev 728 599 On Integral-Algebraic Systems of Equations with Cauchy Operators
P. A. Krutitskii 731 602 Problem of Bitsadze-Samarskii Type for Second-Order Elliptic Systems in the Plane
A. P. Soldatov 736 607 Solutions with Singularities as Almost Solutions
V. M. Miklyukov 741 727 On Numbers with Missing Digits: Solvability of the Comparison
N. G. Moshchevitin 744 730 Entire Functions of Exponential Type Represented by Using the Gamma Function
V. V. Napalkov and S. G. Merzlyakov 748 734 Estimate for the Solution to the Cauchy Problem for an Ultrahyperbolic Inequality
V. G. Romanov 751 737 Order-Optimality of the Projection Regularization Method as Applied
to Conditionally Well-Posed Problems
V. P. Tanana 755 741
Mathematical Physics
Representation of Quantum Field Theory as Classical Statistical Mechanics for Field Functionals
A. Yu. Khrennikov 758 28 On Integral and Differential Factorization Methods
V. A. Babeshko, O. M. Babeshko, and O. V. Evdokimova 762 168 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 161 744
Computer Science
Numerical Integration of Functions with Singularities
E. A. Alshina, N. N. Kalitkin, I. A. Panin, and I. P. Poshivailo 771 32 Measure of Information in Fuzzy and Partially Defined Data
L.A. Sholomov 775 321
Control Theory
Optimal Control of Linear Systems with Delay
N. V. Balashevich, R. Gabasov, and F. M. Kirillova 780 173
