Contents
Doklady Mathematics

Vol. 55, No. 2, 1997

English language translation of the journal is available from / Interperiodica Publishing (Russia). Distributed worldwide
by the American Institute of Mathematics. Doklady Mathematics ISSN 1064-5624.

Translated from Doklady Akademii Nauk, Volume 353, Nos. 1–6, 1997

Volume 55, March–April.

Mathematics

On Strong Solutions to the Moreau Process

I. G. Vladimirov p. 167 abstract

Asymptotic Homogeneity of Quasi-Conformal Maps

V. Ya. Gutlyanskii and V. I. Ryazanov p. 170 abstract

The Stability of Periodic Solutions for a New Class of Systems
of Quasi-Linear Equations in a Banach Space

M. I. Kamenskii p. 172 abstract

Domains of Existence of Cycles

A. P. Krishchenko p. 176 abstract

One Application of Limiting Equations

A. A. Martynyuk p. 179 abstract

Operators of the Convolution Type in Spaces of Summable Functions
Generated by Various Measures

E. M. Mukhamadiev and M. G. Yumagulov p. 182 abstract

An Infinitesimal Theory of Reductive Loops

L. V. Sabinin p. 185 abstract

On Sobolev Spaces of Infinite Order

G. S. Balashova p. 188 abstract

On Equivalent Conditions of Asymptotic Conformality of Quasi-Conformal Curves

V. Ya. Gutlyanskii and V. I. Ryazanov p. 190 abstract

On the Boundedness of Solutions to Replicator Equations with Respect to Two Measures

A. A. Martynyuk p. 192 abstract

Families of Multi-Valued Semiflows and Their Attractors

V. S. Mel’nik p. 195 abstract

The Homogenization of Nonlinear Dirichlet Problems
in Perforated Domains of General Structure

I. V. Skrypnik p. 199 abstract

A Fourth-Order Spline-Collocation Method
for Singularly Perturbed Problems on Optimal Grids

V. V. Strygin and E. V. Kuznetsova p. 203 abstract

Asymptotics of Eigenvalues of a Singular Differential Operator of the Jacobi Type

V. V. Dubrovskii and A. I. Sedov p. 206 abstract

Certain Estimation Problems for Stochastic Partial Differential Equations

I. A. Ibragimov and R. Z. Khas’minskii p. 211 abstract

A Functional Approach to the Representation of Graphs

M. A. Iordanskii p. 214 abstract

Boundary Properties of Derivatives of the Poisson Integral
in a Half-Space and the Representation of a Function of Two Variables

S. B. Topuriya p. 216 abstract

On Continuation of Functions with Singularities

M. Shirinbekov p. 220 abstract

Exact Traveling-Wave Solutions to Some Evolutionary Equations

V. V. Gudkov p. 223 abstract

Maslov Regularization of a Perturbed Linear Operator Equation of the First Kind

E. N. Domanskii p. 226 abstract

Theorems of the Jackson Type on a Compact Symmetric Space of Rank 1

S. S. Platonov p. 229 abstract

Formula of Traces for the Equation of Elastic Rod Vibrations

E. V. Aleksandrova p. 233 abstract

The Spectral Analysis of Difference Operators

A. G. Baskakov p. 237 abstract

Locally One-Dimensional Complete Vector Lattices

A. E. Gutman p. 240 abstract

On Systems of Equations of Elliptic Type That Are Degenerate
on the Whole Boundary of a Smooth Domain

G. G. Devdariani p. 242 abstract

On Semilocal Fields

Yu. L. Ershov p. 246 abstract

Higher Approximations of the Homogenization Method for Quasilinear Parabolic Equations

V. B. Levenshtam p. 248 abstract

Application of a Linear-Fractional Function
to Solving Some Problems of Physics and Engineering

T. Khasanov p. 252 abstract

Limit Theorems for Time and Place of the First Boundary Passage
by a Multidimensional Random Walk

A. A. Borovkov p. 254 abstract

Scalar Problems with Nonlinear Monotonic Boundary Conditions

S. A. Brykalov p. 257 abstract

The Riemann Boundary Problem in Spaces with a Weight That Admits Singularities

K. Kazaryan, F. Soria, and I. Spitkovskii p. 260 abstract

Solving Boundary-Value Problems by the Method of “Walk over Spheres”
with Reflection from the Boundary

G. A. Mikhailov and R. N. Makarov p. 263 abstract

Nikol’skii–Besov Classes on Compact Symmetric Spaces of Rank 1

S. S. Platonov p. 266 abstract

Splitting a Linear Equation with a Fredholm Operator That Acts on the Derivative

K. I. Chernyshov p. 269 abstract

An Estimate of Eigenfunctions of a Nonlinear Operator

I. A. Shishmarev p. 273 abstract

Mathematical Physics

The Problem of Determining the Latent Specific Heat
of Fusion from the Melting Zone Length

A. G. Podgaev p. 277 abstract

One New Quadratic Lemma for Nonmonochromatic Electrodynamics Processes

Ya. N. Fel’d ^† p. 280 abstract

The Uncertainty Relation for Coordinate and Impulse Operators in the p-adic Hilbert Space

A. Yu. Khrennikov p. 283 abstract

On Foundations of Quantum Mechanics

V. F. Krotov p. 286 abstract

Computer Science

Sufficiency of Functional Control

V. N. Bukov and I. M. Maksimenko p. 291 abstract

Control Theory

Optimal Tracing of Harmonic Signals in Linear Systems with Noise in Measurements

A. S. Shiryaev and V. A. Yakubovich p. 294 abstract

Spectral Synthesis of Diophantine and Nonlinear Controllers of Invertible Dynamical Systems

A. V. Timofeev p. 299 abstract

Extremal Search in Excitable Media

A. I. Propoi p. 303 abstract

Minimax Control of a Linear Object with Discrete Time
in the Presence of Moment Constraints on Perturbations

S. V. Gusev p. 306 abstract

Probabilistic Approach to the Stability of Interval Matrices

B. T. Polyak and O. B. Panchenko p. 309 abstract

Integral Representations in the Theory of Discrete Controllable Systems

A. V. Pukhlikov p. 312 abstract

Integral Transformations in the Theory of Controllable Dynamic Systems

A. V. Pukhlikov p. 315 abstract

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