Contents
Doklady Mathematics

Vol. 55, No. 1, 1997

English language translation of the journal is available from / Interperiodica Publishing (Russia).
Distributed worldwide by Plenum/Consultants Bureau. Doklady Mathematics ISSN 1064–5624.

Translated from Doklady Akademii Nauk, Volume 352, Nos. 1–6, 1997

Volume 55, January–February.

Mathematics

On the Dirichlet Problem for Invariant Elliptic Dezin Systems

V. E. Balabaev p. 1 abstract

The Extremality Property of Multidimensional Chebyshev Mappings

I. V. Belyakov and A. M. Stepin p. 5 abstract

The Problem of Integral Geometry on K³ Related to Fourier Analysis on the Group SL(2, K)
where K is an Arbitrary Continuous Locally Compact Field

I. M. Gel’fand, M. I. Graev, and M. Zyskin p. 9 abstract

Dual Cores and Effectivity Functions

V. A. Gurvich p. 12 abstract

The Problem of the Suppression of Self-Oscillations

Yu. S. Kolesov p. 17 abstract

Quantitative Theorems on a Whitney-Type Covering

N. Ya. Kruglyak p. 20 abstract

On the Acyclicity of Sets of Solutions to Ordinary Differential Equations

V. V. Filippov p. 22 abstract

The Information Complexity of the Local Solution of Fredholm Integral Equations
with Analytic Kernels and Free Terms

M. Azizov p. 26 abstract

Representations of General Commutation Relations: The Asymptotic Behavior
of the Spectrum of Three Quantum Hamiltonians

V. V. Vedenyapin and O. V. Mingalev p. 29 abstract

Criteria of Nonemptiness for Dual Cores

V. A. Gurvich p. 33 abstract

Lebesgue Points and Fractional Integrals

N. K. Karapetyants and A. I. Ginzburg p. 37 abstract

Some Identities for the Asymptotics of Solutions to Abstract Equations

V. P. Maslov and O. Yu. Shvedov p. 41 abstract

Asymptotic Analysis of the Problem of Elasticity Theory
in a Layer from the Point of View of the Problem of O.A. Oleinik

S. A. Nazarov p. 46 abstract

Boundary Problems for Systems of Ordinary Differential Equations
Associated with Noncoercive Forms

K. Kh. Boimatov and K. Seddighi p. 50 abstract

An Algorithm for the Filtration and Extrapolation of Time Series by Splines

V. A. Vinokurov p. 53 abstract

On the Spectrum of Degrees of Decidable Relations

S. S. Goncharov and B. Khusainov p. 55 abstract

Solving Normally Solvable Operator Equations in Banach Spaces with a Basis

V. F. Zhuravlev p. 58 abstract

On Projectivization of Zeros of Parabolic Polynomials

V. N. Karpushkin p. 61 abstract

Characterization of Generalized Chernikov Groups

V. I. Senashov p. 63 abstract

Continuous Selectors of Multivalued Mappings
with Nonclosed Decomposable Values and Their Properties

A. A. Tolstonogov p. 65 abstract

Spectral Properties of Ordinary Differential Operators Generated by Noncoercive Forms

K. Kh. Boimatov and K. Seddighi p. 68 abstract

Some Families of Discrete Extremal Problems on Unbounded Locally Compact Metric Spaces

I. A. Bykadorov and G. Sh. Rubinshtein p. 72 abstract

On the Coincidence of Cores and Consistent Distributions in Mixed Economic Systems

V. A. Vasil’ev p. 75 abstract

On the Spectral Problem from the Theory of the Parabolic-Hyperbolic Heat Equation

N. Yu. Kapustin and E. I. Moiseev p. 80 abstract

Estimates of Projector Norms on Hyperplanes in Rearrangement-Invariant Spaces

S. A. Kuzin-Aleksinskii, E. M. Semenov, and C. Franchetti p. 84 abstract

Asymptotics of Solutions to the Elasticity-Theoretic Problem
for a Three-Dimensional Body with Thin Branches

S. A. Nazarov p. 87 abstract

On the Maximum Principle for an Elliptical Equation on a Two-Dimensional Cell Complex

O. M. Penkin p. 91 abstract

The Asymptotic Behavior of Solutions to Quasi-Linear Parabolic Problems in Perforated Domains

I. V. Skrypnik p. 95 abstract

On the Solvability of Boundary-Value Problems of the Nonisothermal Filtration
of Two Immiscible Inhomogeneous Fluids in Porous Media

O. B. Bocharov and V. N. Monakhov p. 99 abstract

The Bessel Operator Function

A. V. Glushak p. 103 abstract

A New Approach to the Dirichlet Boundary Conditions
Based on Using Strengthened Sobolev Spaces

E. G. D’yakonov p. 106 abstract

On the Laplace Transform of Functionals in the Bergman Weight Space of Entire Functions in ⁿ

V. V. Napalkov and S. V. Popenov p. 110 abstract

Restoration of Discontinuities of a Singular Convolution by High-Resolution Algorithms

D. V. Sushko p. 113 abstract

Reduced Right Ideals of Rings and Subdirect Products of Division Rings

V. A. Andrunakievich and Yu. M. Ryabukhin p. 117 abstract

Reduction of the Clearing of Debts to the Transportation Problem

D. S. Anikonov and G. Sh. Tsitsiashvili p. 120 abstract

Phase Transition in a Phase Field System

G. A. Omel’yanov, E. V. Radkevich, and V. G. Danilov p. 121 abstract

Topological Properties of Solution Spaces for Ordinary Differential Equations

V. V. Filippov p. 125 abstract

The Invariance of Properties of Second Order Differential Equations under Discretization

L. Z. Fishman p. 129 abstract

Mathematical Physics

Cauchy, Dirichlet, and Some Inverse Problems
for the One-Velocity Peierls Equation of the Theory of Radiation Transmission
in a Homogeneously Absorbing and Scattering Medium with Isotropic Sources

V. R. Kireitov p. 132 abstract

On a Method for Solving Problems of Wave Scattering by “Transparent” Obstacles

A. G. Kyurkchan p. 136 abstract

Invariant Difference Schemes for Differential Equations
with the Transformation of Independent Variables

A. A. Samarskii, V. I. Mazhukin, and P. P. Matus p. 140 abstract

Evolution of a Step for the Benjamin–Bona–Mahony–Burgers Equation

P. I. Naumkin p. 144 abstract

Informatics

Algorithmic Synthesis of a Diffraction-Bounded Beam
for Obtaining High-Resolution Three-Dimensional Images

Z. M. Benenson and N. S. Kul’berg p. 148 abstract

Control Theory

The Calculation of the L₂-Norm for Linear Periodic Impulse Operators

E. N. Rozenvasser p. 152 abstract

Universal Controllers for Optimal Damping of Forced Oscillations in Linear Discrete Systems

A. Lindquist and V. A. Yakubovich p. 156 abstract

On the Stabilization of Stationary Points of Chaotic Dynamical Systems

N. A. Magnitskii p. 160 abstract

The Design of Optimal Linear Control Systems with Output Feedback

P. V. Nadezhdin p. 163 abstract

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