Contents
Doklady Mathematics

Vol. 64, No. 1, 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 379, Nos. 1–6, 2001

Volume 64, July–August.

Mathematics

Reconstruction of a General Distribution from the Distribution of a Maximum Statistic

D. V. Belomestnyi p. 1  abstract

On the Distribution of Values of Functions over the Fibonacci Sequence

R. N. Boyarinov and V. N. Chubarikov p. 3  abstract

Hypergeometric -Functions

I. M. Gelfand and M. I. Graev p. 6  abstract

To the Problem of the Existence of a Smooth Bounded Solution to a System
of Two Nonlinear Partial Differential Equations of the First Order

M. I. Imanaliev and S. N. Alekseenko p. 10  abstract

On Some Special Surfaces Related to Convex Surfaces in Spaces with Constant Curvatures

V. K. Ionin p. 16  abstract

The Solution of the Dirichlet Problem for a Difference Biharmonic Equation
by the Monte Carlo Method

G. A. Mikhailov and V. L. Lukinov p. 18  abstract

One Class of Inverse Problems for an Ultrahyperbolic Equation

A. Kh. Amirov p. 22  abstract

The Influence of the Absolute on the Local and Smooth Properties of Foliations
and Homeomorphisms with Invariant Foliations on Closed Surfaces

S. Kh. Aranson, I. A. Gorelikova, and E. V. Zhuzhoma p. 25  abstract

On Bases for Some Systems of Exponentials, Cosines, and Sines in L_p

B. T. Bilalov p. 29  abstract

Optimal Reconstruction and the Theory of Extremum

G. G. Magaril-Il’yaev, K. Yu. Osipenko, and V. M. Tikhomirov p. 32  abstract

Evaluation of Multiple Eigenvalues and Jordan Chains of Vectors
for Matrices Depending on Parameters

A. A. Mailybaev p. 36  abstract

A Green Operator for Boundary Value Problems with an Impulsive Effect

S. M. Chuiko p. 41  abstract

The Operator Method in the Theory of Integral Transforms
for Piecewise Homogeneous Media

I. I. Bavrin and O. E. Yaremko p. 44  abstract

On the Asymptotic Stability of Families of Dynamical Systems

S. K. Korovin and N. A. Bobylev p. 48  abstract

On Weakly Cospectral Graphs

S. P. Strunkov p. 51  abstract

Transformations of Some Classes of Fourier–Haar Series

P. L. Ul’yanov p. 53  abstract

Optimization of a Boundary Control of the Process of Oscillations of a String
at Its One End with the Second End Fixed

G. D. Chabakauri p. 57  abstract

Stochastic Stability and Parallelism of the Monte Carlo Method

W. Wagner and S. M. Ermakov p. 61  abstract

Stability of Classes of Mappings and Hölder Continuity of the Higher Derivatives
of Solutions to Elliptic Systems of Nonlinear Partial Differential Equations of Arbitrary Order

A. P. Kopylov p. 64  abstract

On the Curvature of a Riemannian Space Homeomorphic to the Topological Product
of a Compact Manifold and a Sphere

A. V. Pogorelov p. 68  abstract

Stabilization of Solutions to the Wave Equation in Domains with Star-Shaped Boundaries

A. V. Filinovskii p. 71  abstract

The Abel–Schröder Equation for Linear Fractional Maps of Operator Balls

V. A. Khatskevich and V. A. Senderov p. 75  abstract

A Boundary Control of the Process of Oscillations of a String at Its Left End
with the Right End Free in Terms of a Generalized Solution
to the Wave Equation with Finite Energy

G. D. Chabakauri and P. A. Revo p. 79  abstract

Homogenization of a Boundary Value Problem for the Biharmonic Equation
in a Domain with Thin Strips of Small Length

T. A. Shaposhnikova and T. L. Shaposhnikova p. 82  abstract

Fejér Summability of Generalized Fourier Series Related to Differential Operators

A. I. Vagabov and V. S. Galyaev p. 86  abstract

Inversion of the Local Pompeiu Transform on the Quaternion Hyperbolic Space

Vit. V. Volchkov and N. P. Volchkova p. 90  abstract

The Tunnel WKB-Method for Constructing an Asymptotics
of the Green Function for Parabolic Equations

V. G. Danilov and S. M. Frolovitchev p. 94  abstract

Second-Order Parabolic Differential-Difference Equations

A. L. Skubachevskii and R. V. Shamin p. 98  abstract

The Notion of Strong Saddle Points in Two-Person Zero-Sum Games

E. R. Smol’yakov p. 102  abstract

Local Stabilization of Relay Control Systems with Delay

V. V. Strygin, L. M. Fridman, and A. E. Polyakov p. 106  abstract

Passage to the Limit in Singularly Perturbed Integral Systems and Optimal Control Problems

A. A. Bobodzhanov p. 109  abstract

Noncommutative Markov Approximations

J. Gough p. 112  abstract

Nonlocal Elliptic Problems in Dihedral Angles and the Green Formula

P. L. Gurevich p. 117  abstract

Unitary Equivalence as an Implication of Similarity and Hermitian Congruence

Kh. D. Ikramov p. 121  abstract

On the Equiconvergence of Expansions in Eigenfunctions of Integral Operators
with Kernels Admitting Discontinuities of Derivatives on Diagonals

V. V. Kornev and A. P. Khromov p. 123  abstract

Mathematical Physics

On Maslov’s Conjecture about the Structure of Weak Point Singularities
of Shallow-Water Equations

S. Yu. Dobrokhotov, K. V. Pankrashkin, and E. S. Semenov p. 127  abstract

A Global Semiclassical Description of the Spectrum of the Two-Dimensional Magnetic
Schrödinger Operator with a Periodic Potential

J. Bruning and S. Yu. Dobrokhotov p. 131  abstract

Control Theory

Time-Optimal Transfer to a Sphere at Zero Terminal Velocity

L. D. Akulenko and A. M. Shmatkov p. 137  abstract

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