Contents
Doklady Mathematics

Vol. 68, No. 2, 2003

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

Translated from Doklady Akademii Nauk, Volume 392, Nos. 1–6, 2003

Volume 68, September–October.

Mathematics

Pseudospectra of Multidimensional Integral Operators with Homogeneous Kernels

O. G. Avsyankin and N. K. Karapetiants p. 153  abstract

On the Carlson Abscissa in the Moment Problem for the Riemann Zeta-function

G. I. Arkhipov, E. E. Bayadilov, and V. N. Chubarikov p. 156  abstract

An Approximate Method for Finding Periodic Solutions to Systems
of Nonlinear Ordinary Differential Equations

A. I. Perov p. 158  abstract

The Fictitious Domain Method as Applied to the Signorini Problem

V. D. Stepanov and A. M. Khludnev p. 163  abstract

Spaces and Operator Equations with Involutions

V. A. Trenogin p. 167  abstract

Convex Integration: A Method of Approximate Solutions

M. A. Sychev p. 170  abstract

Potential-Type Operators on a Sphere with Singularities at the Poles

B. G. Vakulov and N. K. Karapetiants p. 173  abstract

On the Rearrangement Invariant Hull of a Calderon Space

M. L. Goldman and R. Kerman p. 177  abstract

Geometric and Topological Structures Related to Universal Algebras

M. I. Graev and A. V. Koganov p. 182  abstract

Lie Algebroids: Spectral Sequences and Signature

J. Kubarski and A. S. Mishchenko p. 188  abstract

Equiconvergence of Series Expansions in Terms of Trigonometric Functions
and Eigenfunctions of the Sturm–Liouville Operator with a Distribution Potential

I. V. Sadovnichaya p. 191  abstract

Feynman Integrals over Trajectories in Riemannian Manifolds

O. G. Smolyanov and A. Truman p. 194  abstract

Power Asymptotics of Solutions to an Ordinary Differential Equation

A. D. Bruno p. 199  abstract

Infinite-Dimensional Representations of the Algebra (n, )
and General Hypergeometric Functions on the Group GL(n, )
Related to Complex Analogues of the Gel’fand–Tsetlin Schemes

M. I. Graev p. 204  abstract

A Boundary Control of Spherically Symmetric Oscillations
of a Ball under the Condition of the Existence of Finite Energy

V. A. Il’in p. 211  abstract

The Erdös–Hadwiger Problem and the Chromatic Numbers of Finite Geometric Graphs

A. M. Raigorodskii p. 216  abstract

Power-Logarithmic Expansions of Solutions to an Ordinary Differential Equation

A. D. Bruno p. 221  abstract

A Theorem on the Uniform Asymptotic Stability
of Solutions to a System with Finite Delay

A. A. Martynyuk and I. P. Stavroulakis p. 227  abstract

On Some Quasilinear Differential Systems on the Plane

M. Shirinbekov p. 230  abstract

Grid Approximation of Elliptic Convection–Diffusion Equations
in an Unbounded Domain with Boundary Layers of Different Types

G. I. Shishkin p. 234  abstract

Bases from a Certain System of Exponentials in L_p

B. T. Bilalov p. 239  abstract

Nonpower Asymptotics of Solutions to an Ordinary Differential Equation

A. D. Bruno p. 242  abstract

On the Range of Variation of an Eigenvalue When the Potential Is Varied

V. A. Vinokurov and V. A. Sadovnichii p. 247  abstract

The Lagrange Problem of the Optimal Shape of a Column

Yu. V. Egorov p. 253  abstract

A Nonlocal Study of Families of Elliptic Equations with Convex-Concave Nonlinearities

I. Sh. Il’yasov p. 258  abstract

The Variational Dirichlet Problem for Elliptic Operators
with Nonpower Degeneration Generated by Noncoercive Bilinear Forms

S. A. Iskhokov p. 261  abstract

Approximation Probabilities, the Law of a Quasi-stable Market,
and a Phase Transition from the “Condensate” State

V. P. Maslov p. 266  abstract

A Decomposition Approach to Construction of Images of Patterns

Yu. N. Pavlovskii p. 271  abstract

On the Stochastic Stability of Quadratic Maps in Parameter

G. S. Chakvetadze p. 274  abstract

Mathematical Physics

Continuation of Integral Curves of Second-Order Ordinary Differential Equations
to Singular Sets via a Local First Integral

I. P. Pavlotsky, B. I. Sadovnikov, and M. Strianese p. 278  abstract

A Coordinate-Free Form of the Dirac Equation for the Electron

N. G. Marchuk p. 281  abstract

On the Cubic Evolution Schrödinger Equation with a Cubic Dissipative Term:
iu_t + i|u|²u = u + |u|²u

Sh. M. Nasibov p. 285  abstract

The Quasi-Gas-Dynamic Systems of Equations and the Navier–Stokes Equations

B. N. Chetverushkin and N. G. Churbanova p. 290  abstract

A Stability Criterion for Elastic Systems under Multifrequency Vibrations

Yu. S. Kolesov p. 294  abstract

Control Theory

Asymptotic Estimate for the Probability and the Mean Time
of Keeping a Moving Target within a Given Domain

L. D. Akulenko and A. S. Kovaleva p. 297  abstract

A Pendulum Controlled by a Flywheel

A. V. Beznos, A. A. Grishin, A. V. Lenskii,
D. E. Okhotsimsky, and A. M. Formal’skii p. 302  abstract

Approximate Solution to the Problem of the Invariance of a Control System

A. V. Proskurnikov and V. A. Yakubovich p. 308  abstract

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