Contents
Doklady Mathematics

Vol. 64, 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 381, Nos. 1–6, 2001

Volume 64, November–December.

Mathematics

On Spectral Expansions of Piecewise Smooth Functions

Sh. Alimov p. 295  abstract

Stable Vector Bundles with Logarithmic Connections and the Riemann–Hilbert Problem

A. A. Bolibruch p. 298  abstract

Exactly Solving the Smooth Optimal Stabilization Problem

G. V. Kondrat’ev and V. V. Kondrat’ev p. 301  abstract

On the Theory of Q(x)-Homeomorphisms

O. Martio, V. Ryazanov, U. Srebro, and E. Yakubov p. 306  abstract

The Minimum Length Method for Flows with Transonic Bifurcation

B. V. Rogov p. 309  abstract

On One Class of Quantum Codes

V. M. Sidel’nikov p. 313  abstract

On Effective Sufficient Conditions for the Solvability of Variational Problems

N. V. Azbelev, E. I. Bravyi, and S. A. Gusarenko p. 317  abstract

Representation by Functional Integrals of Solutions to Liouville Equations
for Generalized Hamiltonian Systems

S. Albeverio, O. G. Smolyanov, and A. Yu. Khrennikov p. 321  abstract

Trajectory Providing the Best Navigation

V. I. Berdyshev p. 326  abstract

The Holomorphic Cauchy Problem for Convolution Operators
in Analytically Uniform Spaces and Fischer’s Representations

V. V. Napalkov and S. V. Popenov p. 330  abstract

An Abstract Scheme of the Limit Operator Method and Its Applications

V. S. Rabinovich p. 333  abstract

Numerical Solution of the Equation U_t = U_x (x)sinU

S. I. Serdyukova p. 337  abstract

Sufficient Conditions for Boundedness of Solutions of Certain Class
of Second-Order Differential Equations in Hilbert Spaces

N. V. Artamonov p. 341  abstract

The Linearization Problem for Sheffer Polynomials

O. V. Viskov p. 344  abstract

On the Basis Property of Exponential Solutions
to Functional-Differential Equations Sobolev Spaces

V. V. Vlasov p. 348  abstract

Minimax under Nonlinear Transportation Constraints

A. A. Mironov and V. I. Tsurkov p. 351  abstract

On the Order and Type of an Operator

S. N. Mishin p. 355  abstract

The Inverse Problem of Spectral Analysis for a Jacobi-Type Operator with Potential

V. A. Sadovnichii, V. V. Dubrovskii, A. I. Sedov, and A. N. Tipko p. 359  abstract

Analytic Dependence of Smooth Unsteady Solutions to the Navier–Stokes Equations on Viscosity

E. G. Shifrin p. 361  abstract

On Closed Classes of Mappings with Bounded Distortion on Carnot Groups

S. K. Vodop’yanov p. 366  abstract

A New Method for Solving Systems of Linear Equalities and Inequalities

A. I. Golikov and Yu. G. Evtushenko p. 370  abstract

Open Transportation Models with a Minimax Criterion

A. A. Mironov and V. I. Tsurkov p. 374  abstract

A “Gauss–Bonnet Formula” for Contact Sub-Riemannian Manifolds

A. A. Agrachev p. 378  abstract

Conditions for a High-Order Extremum and Tangent Vectors at an Abnormal Point

A. V. Arutyunov p. 381  abstract

Fixing and Hindering Systems of Planar Convex Figures

V. Boltyanski and H. Gonzales Aguilar p. 385  abstract

On the Test Rank of Some Free Polynilpotent Groups

C. K. Gupta and E. I. Timoshenko p. 388  abstract

Diffusion in Systems with Integral Invariants on the Torus

V. V. Kozlov p. 390  abstract

On Defect Indices of Hamiltonian Systems

M. Lesch and M. M. Malamud p. 393  abstract

A Local Two-Radius Theorem on Symmetric Spaces

V. V. Volchkov p. 398  abstract

Hypergeometric Functions over Finite Fields

I. M. Gelfand and M. I. Graev p. 402  abstract

Estimation Problem for a Regression Function

I. A. Ibragimov p. 407  abstract

Generalized Tsen Theorem and Rationally Connected Varieties

F. Campana, T. Peternell, and A. V. Pukhlikov p. 410  abstract

On Functions with Zero Integrals over Balls of Fixed Radius on the Half-Space

O. A. Ochakovskaya p. 413  abstract

Mathematical Physics

Exact Solutions and Transformations of Nonlinear Heat and Wave Equations

V. F. Zaitsev and A. D. Polyanin p. 416  abstract

Symmetries and Relations between Solutions of the Class Euler–Poisson–Darboux Equations

A. V. Aksenov p. 421  abstract

A New Method for the Evaluation of the First Eigenvalues in the Spectral Problem
of Hydrodynamic Stability of Viscous Fluid Flow between Two Rotating Cylinders

V. V. Dubrovskii, S. I. Kadchenko, V. F. Kravchenko, and V. A. Sadovnichii p. 425  abstract

On Global Variables of the Action–Angle and Harmonic Oscillator Types
in Neighborhoods of Isotropic Tori

V. V. Belov, S. Yu. Dobrokhotov, and V. A. Maksimov p. 430  abstract

Control Theory

Time-Dependent Preisach Nonlinearities and Their Properties

A. M. Krasnosel’skii, R. Cross, and A. V. Pokrovskii p. 435  abstract

Optimal Controller for a Time-Dependent System

N. V. Balashevich, R. Gabasov, and F. M. Kirillova p. 439  abstract

Design of l₁ Suboptimal Robust Controllers for MIMO Plants
under Coprime Factor Perturbations

V. F. Sokolov p. 445  abstract

Computer Science

Segmentation of Images in p-Adic and Euclidean Metrics

J. Benois-Pineau, A. Yu. Khrennikov, and N. V. Kotovich p. 450  abstract

A Relation Connected with a Decision Making Procedure Based on Majority Vote

M. Yu. Khachai p. 456  abstract

A Recursive Method for Constructively Training Neural Polynomial Recognition Systems

Z. M. Shibzukhov p. 460  abstract

Author Index to Volume 63, 2001 p. 463

Author Index to Volume 64, 2001 p. 465

Contents of Volumes 63 and 64, 2001 p. 467

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