Contents
Doklady Mathematics


Vol. 66, No. 3, 2002

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

Translated from Doklady Akademii Nauk, Volume 387, Nos. 1–6, 2002


Volume 66, November–December.

Mathematics

Large Time Asymptotics of Solutions to the Initial Boundary Value Problem
for the Korteweg–de Vries–Burgers Equation on the Half-line

E. I. Kaikina, N. Hayashi, and I. A. Shishmarev p. 305  abstract

On Zeros of Trigonometric Sums

A. A. Karatsuba p. 309  abstract

On the General Stability Theory of Dynamical Systems

A. A. Kornev p. 311  abstract

Application of the Cyclic Properties of Dynamical Systems to the Study
of the Boundary Limits of Arbitrary Functions

frame0. Paviframe1eviframe2 and E. frame3uframe4iframe5 p. 313  abstract

Uniform Convergence of Trigonometric Series

P. L. Ul’yanov p. 316  abstract

Efficient Algorithms for Problems of the Fictitious Domain Method
in the Multiply Connected Case

M. B. Brusnikin p. 322  abstract

On Two Special Functions Related to Fold Singularities

A. M. Il’in and B. I. Suleimanov p. 327  abstract

Representation and Compression of Images with the Aid
of m-Adic Coordinate Systems

N. V. Kotovich and A. Yu. Khrennikov p. 330  abstract

Various Representations of the Space of Analytic Functions
and the Problem of the Dual Space Description

V. V. Napalkov p. 335  abstract

On the Exceptional Set in a Goldbach-Type Binary Problem

G. I. Arkhipov and V. N. Chubarikov p. 338  abstract

Families of Power Expansions of Modified Motions of a Rigid Body

A. D. Bruno and V. V. Lunev p. 340  abstract

On the Use of Hotelling’s Iterations for Solving Differential-Algebraic Systems of Index 1

G. Yu. Kulikov p. 348  abstract

Singular Boundary Value Problems of Junction

L. G. Mikhailov and N. Usmonov p. 353  abstract

Locally Conformally Homogeneous Spaces

E. D. Rodionov and V. V. Slavskii p. 358  abstract

Computable Homogeneous Boolean Algebras

P. E. Alaev p. 362  abstract

Solution to One Zolotarev-Type Problem in the Metric of L[–1, 1]

V. E. Geit p. 365  abstract

Homogenization of Elasticity Problems on Periodic Box Structures
of Critical Thickness

S. E. Pastukhova p. 369  abstract

Kernel Estimates for a Perturbed Operator Semigroup

V. E. Podol’skii p. 374  abstract

One-Dimensional Sectional Curvature of Riemannian Manifolds

E. D. Rodionov and V. V. Slavskii p. 376  abstract

Potentials and Boundary Value Problems in Locally Convex Spaces

A. V. Uglanov p. 380  abstract

The Boundary Value Problem of the Physics of Magnetized Semiconductors
in an Exterior Domain with Cuts

A. O. Tchikilev and P. A. Krutitskii p. 385  abstract

On Complementability of Subspaces Generated by Contractions
and Shifts of Functions

S. V. Astashkin, L. Maligranda, and E. M. Semenov p. 390  abstract

Localization Riesz Means of Spectral Expansions
in a Piecewise Homogeneous Half-Space

I. I. Bavrin and O. E. Yaremko p. 393  abstract

On an Axially Symmetric Flow of a Viscous Incompressible Fluid around a Needle

A. D. Bruno and T. V. Shadrina p. 396  abstract

The Dynamical Properties of a Singularly Perturbed Hamiltonian System
Near Its Slow Manifold

V. G. Gelfreich and L. M. Lerman p. 403  abstract

On a Boundary Control at One End of a Process Described
by the Telegraph Equation

V. A. Il’in and E. I. Moiseev p. 407  abstract

Behavior of Solutions to Nonlinear Elliptic Inequalities
in Domains of Arbitrary Geometry

A. A. Kon’kov p. 411  abstract

Power Properties of Motions of a Rigid Body

A. D. Bruno p. 415  abstract

Random Metric Space is the Universal Urysohn Space

A. M. Vershik p. 421  abstract

Strengthening of the Fredholm Alternative for Convolution Integral Equations

A. F. Voronin p. 425  abstract

Introduction of a Self-Adjoint Operator Corresponding
to Standard Probability Problems

V. P. Maslov p. 427  abstract

On Well-Posedness of Contact Problems of Fluid Filtration

V. N. Monakhov p. 432  abstract


Mathematical Physics

Eigenvalues of the Neumann Problem in a Domain with a Thin Channel

R. R. Gadyl’shin p. 436  abstract

Probabilistic Models of Quantum Systems and Bell-Type Inequalities

O. G. Smolyanov and A. Truman p. 440  abstract

Refinement of the Theory of Membrane Vibrations

Yu. A. Dem’yanov p. 446  abstract

Paradoxical Properties of Attractors of Wave Equations in Plane Domains

Yu. S. Kolesov p. 452  abstract

Analysis of the Effective Dispersive Equations Describing Wave Propagation
in Inhomogeneous Thin Rods

N. S. Bakhvalov, K. Yu. Bogachev, and M. E. Eglit p. 455  abstract


Control Theory

Optimal Evasion of a Dynamic Object from a Spherical Obstacle

L. D. Akulenko and A. M. Shmatkov p. 460  abstract


Computer Science

Simple and Simplest Semiorders

F. T. Aleskerov p. 465  abstract

Short-Term Prediction in a Securities Market

B. S. Kashin and S. V. Pastukhov p. 468  abstract


Author Index to Volume 65, 2002 p. 471

Author Index to Volume 66, 2002 p. 473

Contents of Volumes 65 and 66, 2002 p. 475


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