Contents
Doklady Mathematics

Vol. 65, No. 2, 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 383, Nos. 1–6, 2002

Volume 65, March–April.

Mathematics

Some Two-Dimensional Singular Integral Operators in a Bounded Domain

G. Dzhangibekov p. 149  abstract

There Is No Specht-Like Criterion for Checking Pseudounitary Similarity

Kh. D. Ikramov p. 152  abstract

Weighted Norms of Riesz Transforms

E. A. Kalita p. 154  abstract

On the Properties of Solutions to Elliptic Inequalities with Nonlinearity in the Principal Part

A. A. Kon’kov p. 157  abstract

Dirichlet Series Coefficients of Analytic Functions

S. N. Melikhov and S. Momm p. 161  abstract

Korn-Type Inequalities on the Heisenberg Groups and the Neumann Problem
for Linear Subelliptic Systems

N. N. Romanovskii p. 165  abstract

Multiplicative Structures in the Linear Space of Vector-Valued Distributions

O. G. Smolyanov, A. Yu. Khrennikov, and V. M. Shelkovich p. 169  abstract

Generalized Associativity in Smooth Groupoids

G. A. Tolstikhina and A. M. Shelekhov p. 173  abstract

New Finite-Dimensional Approximations of the 3D Navier–Stokes System

E. I. Dinaburg p. 175  abstract

Tauberian Theorems for Distributions in the Scale of Regularly Varying Functionals

Yu. N. Drozhzhinov and B. I. Zav’yalov p. 180  abstract

On the Norm of a Functional in the Space of Differentiable Functions
and the Kneser Functional Equation

Kh. M. Karov p. 184  abstract

Equiconvergence of Riesz Means Corresponding to Second-Order Differential Operators

V. M. Kurbanov and Ya. Sh. Salimov p. 187  abstract

Geometric Analysis of the Properties of Numerical Grids

V. D. Liseikin p. 190  abstract

Widths of Some Classes of Analytic Functions in the Bergman Space

M. Sh. Shabozov p. 194  abstract

On Equilibrium Points in a Circular Restricted Many-Body Problem

A. A. Gonchar p. 198  abstract

Application of One Riesz Theorem to Kneser-Type Integral Equations

Kh. M. Karov p. 202  abstract

An Effective Method for the Numerical Solution of the Differential Equations
of Gyroscope Motion

M. V. Los’ p. 204  abstract

Scale Realization of Time-Delay Systems

J. J. Loiseau and V. M. Marchenko p. 208  abstract

On a Concave Majorant of the Modulus of Continuity

A. V. Medvedev p. 212  abstract

Local Stability of the Second-Type Singular Set for a Second-Order
Ordinary Differential Equation

I. P. Pavlotsky, B. I. Sadovnikov, and M. Strianese p. 214  abstract

On a Volterra Integral Equation

N. Rajabov p. 217  abstract

Canonical Forms of Linear Time-Varying Observation Systems and Hessenberg Observability

A. I. Astrovskii p. 221  abstract

On a Laplacian with Frequently Nonperiodically Alternating Boundary Conditions

D. I. Borisov p. 224  abstract

Extension Theorems for Energy Spaces on Composite Manifolds
and Their Applications to the Theory of Stationary Ill-Conditioned Problems

E. G. D’yakonov p. 227  abstract

On Encoding Stochastic Context-Free Languages

L. P. Zhil’tsova p. 232  abstract

Asymptotics of the Number of Sum-Free Sets in Abelian Groups of Even Order

A. A. Sapozhenko p. 235  abstract

Wiener Surface Measures on Trajectories in Riemannian Manifolds

O. G. Smolyanov, H. von Weizsäcker, O. Wittich, and N. A. Sidorova p. 239  abstract

On Invertibility and the Fredholm Property of Parabolic Differential Operators

A. G. Baskakov p. 245  abstract

Spaces of Functions of Fractional Smoothness on Irregular Domains

O. V. Besov p. 248  abstract

Solution of the Cauchy Problem for an Ultrahyperbolic Equation by the Averaging Method

D. P. Kostomarov p. 254  abstract

Homogenization for Nonlinear Elasticity Problems on Thin Periodic Structures

S. E. Pastukhova p. 257  abstract

Stieltjes Differentials in a Generalized Sturm–Liouville Problem

Yu. V. Pokornyi p. 262  abstract

Inversion of the X-Ray Transform of a Vector Field in the Euclidean Space

I. G. Chernyakov p. 266  abstract

The Structure of Surfaces of Zero Mean Curvature in Neighborhoods
of Isolated Singularities

V. A. Klyachin p. 269  abstract

Weight Monte Carlo Methods for Solving Multiparticle Problems Related
to the Boltzmann Equation

G. A. Mikhailov and S. V. Rogazinskii p. 272  abstract

Relations between the Euler Numbers of Manifolds of Corank 1 Singularities
of a Generic Front

V. D. Sedykh p. 276  abstract

On the Stability of the Jensen Equation on Groups

V. A. Faiziev p. 280  abstract

Mathematical Physics

The Riccati Equation y' = x + y² for an Airy Function

A. M. Molchanov p. 282  abstract

On the Recognition Ability of a Neural Network on Neurons
with Parametric Transformation of Frequencies

B. V. Kryzhanovskii and A. L. Mikaelyan p. 286  abstract

Regularities for Nonlinear Parametric Self-Oscillating Processes
in Singularly Perturbed Wave Equations in Plane Domains

Yu. S. Kolesov and A. E. Khar’kov p. 289  abstract

On the Neumann Problem for Hyperbolic Systems in a Wedge

A. Yu. Kokotov, P. Neittaanmäki, and B. A. Plamenevskii p. 292  abstract

Wavelets and the Method of Auxiliary Currents

A. G. Kyurkchan and A. P. Anyutin p. 296  abstract

Analysis of the Effective Dispersive Equations Describing Wave Propagation
in Stratified Media and Thin Plates

N. S. Bakhvalov and M. E. Eglit p. 301  abstract

Control Theory

Axiomatics for the Theory of Cooperative Games

E. R. Smol’yakov p. 306  abstract

Minimax Control for One Class of Systems under Disturbances

F. L. Chernous’ko p. 310  abstract

One Case of Monotone and Guaranteed Time-Optimal Control
of a Nonlinear Multiconnected Object

S. D. Zemlyakov and V. Yu. Rutkovskii p. 314  abstract

Multiple Solutions to One-Step Bimatrix Games

V. S. Levchenkov p. 317  abstract

Computer Science

Construction of Disjunctive Normal Forms in Problems of Pattern Recognition
with Binary Information

A. G. D’yakonov p. 321  abstract

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