Contents
Doklady Mathematics

Vol. 74, No. 1, 2006

English language translation of the journal is available from Pleiades Publishing, Inc.
Distributed worldwide by Springer. Doklady Mathematics ISSN 1064–5624.

Translated from Doklady Akademii Nauk, Volume 409, Nos. 1–6, 2006

Volume 74, July–August.

Mathematics

Directional Metric Regularity of Mappings and Stability Theorems

E. R. Avakov, A. V. Arutyunov, and A. F. Izmailov p. 473  abstract

A Variational Representation of Solutions to a Certain Hyperbolic System
of Equations by Using a Logarithmic Potential in the External Field

A. I. Aptekarev and Yu. G. Rykov p. 477  abstract

Solution Method for Linear Ordinary Differential Equations

Yu. I. Vinogradov p. 480  abstract

Multiple Solutions to the Yamabe Problem

Yu. V. Egorov and Ya. Sh. Il’yasov p. 484  abstract

Minimization of the Variation in the Derivative of a Boundary Control
by Damping the Vibrations of a String with a Fixed End

A. Yu. Popov p. 487  abstract

On the Difference of Functions with Timelike Graphs

A. N. Kondrashov p. 491  abstract

Coordinatization of PI-Geometric Lattices

A. A. Lashkhi p. 494  abstract

A New Method for Counting Coverings over Manifold
with Finitely Generated Fundamental Group

A. D. Mednykh p. 498  abstract

Extended Base System of Conflict Equilibria

E. R. Smol’yakov p. 503  abstract

The Method of Transformation Operators as Applied to Boundary Value Problems
in Spherically Symmetric Domains

O. E. Yaremko p. 507  abstract

Local Integrability of the Euler–Poisson Equations

A. D. Bruno p. 512  abstract

Crystallographic Classes in Minkowski Space R_1,2

R. M. Garipov p. 517  abstract

On the Newton Form of Equations in Energy Spaces for Nonstationary Problems
of Mathematical Physics

E. G. D’yakonov p. 521  abstract

On a Sharp in L_p a priori Estimate for the Solution to the Heat Transfer Problem
in a Rod with Heat Capacities Concentrated at the Ends

N. Yu. Kapustin p. 526  abstract

Borg-Type Theorems for High-Order Equations with Matrix Coefficients

M. M. Malamud p. 528  abstract

Solvability of the Conjugation Boundary Value Problem
for the Vekua Nonlinear Equation on a Riemann Surface

E. V. Semenko and E. A. Raenko p. 533  abstract

Simple Exact Solutions to the N. Kowalewski Equations

A. D. Bruno and I. N. Gashenenko p. 536  abstract

Necessary and Sufficient Conditions for the Boundedness
of the Fractional Maximal Operator in Local Morrey-Type Spaces

V. I. Burenkov, V. S. Guliev, and G. V. Guliev p. 540  abstract

On the Spectral and Mixing Properties of Rank-One Constructions in Ergodic Theory

V. V. Ryzhikov p. 545  abstract

The Inverse Scattering Problem for the Difference Schrödinger Operator
with Asymptotically Periodic Coefficients on the Half-Axis

Ag. Kh. Khanmamedov p. 548  abstract

Deformations of Hyperbolic Structures and Quasi-Fuchsian Groups Generated by Reflections

B. N. Apanasov and A. V. Tetenov p. 552  abstract

Uniform Estimates for Positive Solutions of Quasilinear Differential Equations

I. V. Astashova p. 555  abstract

A Selection Principle for Uniform Space-Valued Functions

V. V. Chistyakov p. 559  abstract

Analysis of Business Cycles Using a Mathematical Model
of Markov Stochastic Processes

A. A. Akaev p. 562  abstract

Optimal Strategies and Transitions between Them in Arnold’s Model

A. A. Davydov and E. Mena Matos p. 566  abstract

Element Orders in Coverings of Finite Simple Linear and Unitary Groups
and Recognizability of L_n(2) by Spectrum

A. V. Zavarnitsine and V. D. Mazurov p. 569  abstract

Parabolic Equations with an Unknown Absorption Coefficient

A. I. Kozhanov p. 573  abstract

On Some Two-Dimensional Singular Integral Operators and Their Applications
to Elliptic Systems of Differential Equations with Singular Coefficients

L. G. Mikhailov, G. Dzhangibekov, and D. Odinabekov p. 577  abstract

A Model Three-Dimensional Volterra-Type Integral Equation
with Singular Boundary Surfaces in the Kernels

N. Rajabov p. 582  abstract

The Space of Almost Convergent Sequences

E. M. Semenov, A. S. Usachev, and O. O. Khorpyakov p. 587  abstract

Mathematical Physics

The Bellman Quantum Equation

J. Gough, V. P. Belavkin, and O. G. Smolyanov p. 589  abstract

Description of Tsunami Propagation Based on the Maslov Canonical Operator

S. Yu. Dobrokhotov, S. Ya. Sekerzh-Zenkovich, B. Tirozzi, and T. Ya. Tudorovskii p. 592  abstract

New Classes of Exact Solutions to Nonlinear Systems of Reaction–Diffusion Equations

A. D. Polyanin and E. A. Vyaz’mina p. 597  abstract

The Dynamics of Populations Under the Simplest Migration Interaction

Yu. S. Kolesov and A. E. Khar’kov p. 603  abstract

Geometric Properties of the Zeros of the Derivatives of Solutions
to Chaplygin Quasilinear Equations on Ellipticity Domains

A. I. Rylov p. 607  abstract

Control Theory

Local Solutions to the Hamilton–Jacobi–Bellman Equation
in Stochastic Problems of Optimal Control

A. S. Bratus’, D. V. Iourtchenko, and J.-L. Menaldi p. 610  abstract

Universal Regulators for Optimal Tracking of Stochastic Signals
with an Unknown Spectral Density

A. V. Proskurnikov and V. A. Yakubovich p. 614  abstract

On the Theory of Functional Observers and Stabilizers of Given Order

S. K. Korovin, A. V. Il’in, I. S. Medvedev, and V. V. Fomichev p. 619  abstract

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