Contents
Doklady Mathematics


Vol. 63, No. 3, 2001

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

Translated from Doklady Akademii Nauk, Volume 378, Nos. 1–6, 2001


Volume 63, May–June.

Mathematics

Integral Inequalities for Functions with Zero Traces on C0-Manifolds and Their Applications

K. Kh. Boimatov and S. A. Iskhokov p. 295  abstract

Synthesis of Fejér Mappings with Noncoinciding Spaces of Images

I. I. Eremin p. 299  abstract

Algebras of Pseudodifferential Operators on Manifolds with Singularities

V. E. Nazaikinskii and B. Yu. Sternin p. 302  abstract

Semiclassical Spectral Asymptotics and the Stokes Phenomenon for the Weber Equation

S. A. Stepin and A. A. Arzhanov p. 306  abstract

On the Behavior of the Resolvent of the First Boundary Value Problem
for the Laplace Operator in Domains with Noncompact Boundaries at Small Parameter Values

A. V. Filinovskii p. 310  abstract

Lower Bounds on the Complexity of Three-Dimensional Manifolds

S. V. Matveev and E. L. Pervova p. 314  abstract

On the Stability of Normally Hyperbolic Sets of Smooth Flows

V. A. Pliss and G. R. Sell p. 316  abstract

The Existence of Equilibria in Games with Multivalued Payoff Functions

E. R. Smol’yakov p. 318  abstract

Numerical Solution of a Hypersingular Integral Equation in the Neumann Problem
for the Laplace Equation on a Sphere and a Torus

A. Yu. Anfinogenov, I. K. Lifanov, and P. I. Lifanov p. 322  abstract

The Optimality Principle for Nondegenerate Curvilinear Grids

S. A. Ivanenko p. 327  abstract

Smoothness of Generalized Solutions to Elliptic Equations with Nonexponential Degeneracies

S. A. Iskhokov p. 332  abstract

The Effect of Random Parametric White-Noise Disturbances
on Linear Discrete-Time Dynamical Systems Is Only Destabilizing

D. G. Korenevskii p. 336  abstract

On Continua of Cycles in Systems with Hysteresis

A. M. Krasnosel’skii and D. I. Rachinskii p. 339  abstract

To the Theory of Singular Differential Equations

L. G. Mikhailov p. 345  abstract

Traces of Operators with a Relatively Nuclear Perturbation

V. A. Sadovnichii and V. E. Podol’skii p. 349  abstract

Elliptic Equations Associated with Invariant Measures of Diffusions
on Finite- and Infinite-Dimensional Manifolds

V. I. Bogachev, F.-Y. Wang, and M. Röckner p. 351  abstract

A New Method for Approximate Evaluation of the First Eigenvalues
in the Orr–Sommerfeld Eigenvalue Problem

V. V. Dubrovskii, S. I. Kadchenko, V. F. Kravchenko, and V.A. Sadovnichii p. 355  abstract

On Stability in the Cauchy and Morera Theorems on Holomorphic Functions

A. P. Kopylov p. 359  abstract

A New Norm Bound for the Green Matrix

Yu. M. Nechepurenko p. 362  abstract

On a New Method for Approximate Solution of Boundary Value Problems
in Arbitrary Domains

M. Otelbaev and Sh. Smagulov p. 364  abstract

On the Hölder Continuity of Solutions to Degenerate Elliptic Equations

Yu. A. Alkhutov and V. V. Zhikov p. 368  abstract

On the Theory of Wavelet Analysis of Colored Electrochemical Noise

B. M. Grafov and I. B. Grafova p. 374  abstract

On the Unitary Similarity of a Matrix and Its Transpose

Kh. D. Ikramov p. 377  abstract

An Asymptotic Analysis of an Autoresonance Model

L. A. Kalyakin p. 379  abstract

On One Class of Continued Fractions with Operator Elements

A. S. Osipov p. 383  abstract

Increasing the Accuracy of Explicit Runge–Kutta Methods in Solving Moderately Stiff Problems

L. M. Skvortsov p. 387  abstract

Error Estimates of Approximate Solutions to Equations of the First Kind

G. V. Khromova p. 390  abstract

On Two-Dimensional Area-Preserving Mappings with Homoclinic Tangencies

S. V. Gonchenko and L. P. Shilnikov p. 395  abstract

Optimal Control in Hölder Classes of Functions

M. I. Zelikin p. 400  abstract

Global Behavior of Solutions to the One-Dimensional Equations of Viscous
Compressible Barotropic Flow with Variable Viscosity

A. A. Zlotnik and I. Straframe0kraba p. 404  abstract

Boundary Control of Oscillations of a String at One of Its Ends When the Other End
is Fastened under Condition of the Existence of Finite Energy

V. A. Il’in p. 410  abstract

Estimation of the Accuracy of Asymptotic Expansions in the Central Limit Theorem

A. E. Kondratenko and V. V. Senatov p. 415  abstract


Mathematical Physics

A Model of Delocalized Membranes

M. G. Ivanov p. 418  abstract

On the Regularity of Stresses in Linear Elasticity

A. I. Koshelev p. 421  abstract

The Symmetry Properties of Variational Equations of Free Matter Flows

V. F. Krotov p. 425  abstract


Control Theory

Singularities of Discontinuous Dynamical Systems

A. V. Pukhlikov p. 430  abstract

A Base System of Equilibria for Noncooperative Games

E. R. Smol’yakov p. 433  abstract


Computer Science

Clearing Debts by the Fractional Method

N. N. Kalitkin, L. V. Kuz’mina, and M. V. Chernenkov p. 437  abstract

Inconsistent Properties of the Methods of Individual Choice

O. I. Larichev p. 441  abstract


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