Contents
Doklady Mathematics

Vol. 63, No. 2, 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 377, Nos. 1–6, 2001

Volume 63, March–April.

Mathematics

The Intersection of Two Bruhat Cells

N. A. Vavilov and M. Yu. Mitrofanov p. 149  abstract

Some Modifications of the Classical Dirichlet Principle

E. G. D’yakonov p. 152  abstract

A Representation of Convex Surfaces in n-Dimensional Spaces

A. A. Ligun, A. A. Shumeiko, and S. V. Timchenko p. 158  abstract

On the Topological Classification of Gradientlike Diffeomorphisms
without Heteroclinic Curves on Three-Dimensional Manifolds

C. Bonatti, V. Z. Grines, V. S. Medvedev, and E. Pecou p. 161  abstract

On Asymptotic Distributions of Values of Arithmetic Functions

E. K. Zhimbo and V. N. Chubarikov p. 165  abstract

Bessel Scales of Banach Spaces

M. D. Ramazanov p. 167  abstract

The Solution of Polyhedra

I. Kh. Sabitov p. 170  abstract

To the Problem of Homotopy Classification of the Elliptic Boundary Value Problems

A. Yu. Savin and B. Yu. Sternin p. 174  abstract

Intertwined Equations in Bifurcation Theory

V. R. Abdullin and N. A. Sidorov p. 179  abstract

Specific Selections for Set-Valued Mappings

A. V. Arutyunov p. 182  abstract

The Spectral Properties of the Hamiltonians of Charged Systems
in a Homogeneous Magnetic Field

G. M. Zhislin p. 185  abstract

The Eta Invariant and Parity Conditions

A. Yu. Savin and B. Yu. Sternin p. 189  abstract

The Inverse Problem of Spectral Analysis for a Power of the Laplace Operator
with Potential on a Rectangle

V. A. Sadovnichii, V. V. Dubrovskii, and V. V. Dubrovskii, Jr. p. 194  abstract

On the Representation of the Set of Countably Additive (0, 1)-Measures Distinct
from Dirac Measures

A. G. Chentsov p. 197  abstract

On Weighted Integral Inequalities with a Geometric Mean

L.-E. Persson and V. D. Stepanov p. 201  abstract

Surface Measures Generated by Diffusions on Paths in Riemannian Manifolds

O. G. Smolyanov, H. von Weizsäcker, O. Wittich, and N. A. Sidorova p. 203  abstract

The Poincaré Problem for a Mixed-Type Equation

A. P. Soldatov p. 208  abstract

Holomorphic Foliations of Pseudoconcave Graphs

E. M. Chirka p. 212  abstract

A Bingham Fluid Model in Terms of Stress–Velocity Variables

V. V. Shelukhin p. 215  abstract

The Relaxation Penalty Method and Degenerate Extremum Problems

V. K. Gorbunov p. 219  abstract

The Moments of the Solution to the Cauchy Problem
for the Diffusive Transport Equation with Random Coefficients

V. G. Zadorozhnii p. 224  abstract

To Extension of the Lagrange and Darboux Theorems over Vector-Valued Functions

M. V. Korobkov p. 227  abstract

Discrete Sufficient and Weakly Sufficient Sets in Some Spaces
of Functions of Order Zero

V. V. Napalkov and V. E. Kim p. 230  abstract

On Norm Bounds for the Matrix Exponential

Yu. M. Nechepurenko p. 233  abstract

Some Estimates for Nonorthonormal Fundamental Function Systems
of the Laplace Operator

M. A. Soldatova p. 237  abstract

Local Classification of Linear Ordinary Differential Equations

V. A. Yumaguzhin p. 241  abstract

Tensor Rings and the Structure of G-Free Groups Nilpotent of Class 3

M. G. Amaglobeli p. 244  abstract

The Fenchel Duality Theorem in Banach Spaces

A. Yu. Berens and A. A. Shananin p. 247  abstract

Estimates of Norms of Hardy-Type Integral and Discrete Operators
on Cones of Quasimonotone Functions

M. L. Gol’dman p. 250  abstract

Biorthogonal System for Minimal Splines and Solutions to Interpolation Problems

Yu. K. Demjanovich p. 256  abstract

On Unstable Manifolds in the Neighborhood of an Essential Nonhyperbolic Point

A. A. Kornev p. 260  abstract

The Riesz Theorem for the Spaces N and Its Applications

Kha Zui Bang p. 263  abstract

Mathematical Physics

Several Results on the Representation of States of Open Quantum Systems

I. Kupsch, O. G. Smolyanov^,, and N. A. Sidorova p. 266  abstract

Long-Time Evolution of Free-Decay MHD Turbulence

T. Yu. Antonov, P. G. Frick, and D. D. Sokoloff p. 271  abstract

Attractors of Singularly Disturbed Reaction–Diffusion Systems
with an Extreme Turning Point in a Plane Domain

Yu. S. Kolesov and A. E. Khar’kov p. 274  abstract

Artificial Boundary Conditions for Elliptic Systems in Domains
with Conical Outlets to Infinity

S. A. Nazarov and M. Specovius-Neugebauer p. 277  abstract

Control Theory

Stabilization and Elimination of Multicipherity from Controllable Self-oscillating Systems:
A Multiplying Stabilizer

M. Ya. Izrailovich p. 281  abstract

The Frequency-Domain Condition of Generalized Return Difference
in Robust Controller Design

M. M. Kogan p. 286  abstract

Control of Rheonomous Mechanical Systems with Unknown Parameters

I. M. Ananievskii p. 290  abstract

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