Contents
Doklady Mathematics

Vol. 67, 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 389, Nos. 1–6, 2003

Volume 67, March–April.

Mathematics

Inverse Function Theorem on a Cone in the Neighborhood of an Abnormal Point

A. V. Arutyunov p. 149  abstract

Continuous Branches of Cycles in Systems with Nonlinearizable Nonlinearities

A. M. Krasnosel’skii and D. I. Rachinskii p. 153  abstract

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

P. A. Krutitskii and A. O. Tchikilev p. 158  abstract

On a Universal Formula for the Phase Functions of Extremal ChMBSz Polynomials
of Kinds 1–4

V. I. Lebedev p. 163  abstract

Stability of the Determination of the Electrical Conductivity in Electrodynamic Equations

V. G. Romanov p. 167  abstract

Dynamic Economic Model with a Continuum of Steady-State Equilibria

K. Yu. Borisov p. 172  abstract

On the Error of Number-Theoretic Quadrature Formulas

V. A. Bykovskii p. 175  abstract

Estimates of Solutions to Differential-Difference Equations of the Neutral Type

V. V. Vlasov and D. A. Medvedev p. 177  abstract

The -Function of Cross-Ratio on Sato’s Grassmannian As
an Integral Invariant of the Kadomtsev–Petviashvili Hierarchy

M. I. Zelikin p. 180  abstract

On the Stability of Symmetric Runge–Kutta Formulas

G. Yu. Kulikov p. 184  abstract

The Dynamic Programming Method for Locally Lipschitz Continuous Functions

N. N. Subbotina p. 189  abstract

Computational Complexity of the Discrete Fourier Transform

V. A. Bykovskii p. 193  abstract

Estimators Shrinkage to Reduce the Quadratic Risk

V. I. Serdobolskii p. 196  abstract

Exotic Asymptotics for a Linear Hyperbolic Equation

S. I. Serdyukova p. 203  abstract

The Pontryagin Maximum Principle and Sufficient Conditions
for Optimality in the L₀ Metric

A. V. Arutyunov p. 208  abstract

Probabilistic Representations of Solutions to the Cauchy Problem
for Systems of Parabolic Equations

Ya. I. Belopol’skaya p. 213  abstract

Topologies of the Duals of Spaces of Holomorphic Functions
on Locally Closed Convex Sets

J. Bonet, R. Meise, and S. N. Melikhov p. 217  abstract

A Nonlinear Generalization of Perron’s Theorem

A. A. Vladimirov, V. I. Oseledets, A. N. Rybko,
K. M. Khanin, and D. V. Khmelev^, p. 221  abstract

The Fundamental Principle Criterion for Invariant Subspaces

A. S. Krivosheev p. 226  abstract

Construction of Weighted Monte Carlo Methods via an Increase
in the Phase Space Dimension

G. A. Mikhailov p. 230  abstract

Exponential Classes of Uniqueness in Heat Conduction Problems

A. Yu. Popov and I. V. Tikhonov p. 234  abstract

A Study of Divergent Integrals

G. M. Vainikko and I. K. Lifanov p. 237  abstract

Sharp Inequalities for Moduli of Continuity of Different Orders
and Best Approximations of Periodic Functions
by Trigonometric Polynomials and Splines

O. L. Vinogradov and V. V. Zhuk p. 242  abstract

On the Differentiability of Mappings of Carnot–Carathéodory Spaces

S. K. Vodop’yanov and A. V. Greshnov p. 246  abstract

On an Exact Condition for Removability of Singularities on Manifolds
for Solutions of Nonlinear Elliptic Equations

I. I. Skrypnik p. 251  abstract

Approximations of Fixed Points on Families of Metric Spaces

V. A. Trenogin p. 254  abstract

On Quasiconformal Extension from a Special Family of Plane Domains

V. V. Aseev, A. V. Sychev, and A. V. Tetenov p. 257  abstract

Conical Resolutions of Discriminant Varieties and Real Cohomology
of the Space of Nonsingular Complex Plane Projective Quintics

A. G. Gorinov p. 259  abstract

Hadamard-Type Fractional Integrals and Derivatives
and Differential Equations of Fractional Order

A. A. Kilbas, S. A. Marzan, and A. A. Titioura p. 263  abstract

One Regularization Method for Singular Integral Equations with Gellerstedt Kernels

M. M. Zainulabidov p. 268  abstract

Mathematical Physics

Eigenoscillations of a Strongly Inhomogeneous Elastic Body:
Asymptotics and Uniform Estimates of Remainders

M. I. Lobo, S. A. Nazarov, and M. E. Peres p. 271  abstract

Geometric Scattering on Compact Riemannian Manifolds

J. Brüning and V. A. Geyler p. 275  abstract

Two-Level Model of a Weakly Nonideal Bose-Gas: Phase Transitions
in a Metastable (Superfluid) State

V. P. Maslov p. 279  abstract

A New Class of Exact Solutions to the n-Field Equations
and Their Geometric Interpretation

A. B. Borisov p. 281  abstract

Weak Limits of Probability Distributions in Systems
with Nonstationary Perturbations

V. V. Kozlov p. 283  abstract

Control Theory

The Theory of Cooperative Games without the Use of Characteristic Functions

E. R. Smol’yakov p. 286  abstract

The Problem of the Invariance of a Control System

A. V. Proskurnikov and V. A. Yakubovich p. 291  abstract

Computer Science

Operations with Multisets

A. B. Petrovsky p. 296  abstract

Handprinted Character Recognition Method Based on a New Set
of Features Computed from a Vector Image

D. E. Yang, V. V. Tereshchenko, T. R. Khalevina, and Yu. V. Gulyaev p. 300  abstract

Erratum:

In “Homogeneous Forms of the Navier–Stokes Equations for Plane-Parallel Steady Flows of an Incom-
pressible Fluid” [Dokl. Mathematics 65, 3, 377 (2002)], formula (5) should be

Yu.D. Shmyglevskii

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