Contents
Doklady Mathematics

Vol. 58, No. 3, 1998

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 363, Nos. 1–6, 1998

Volume 58, November–December.

Mathematics

Spectral Asymptotics of Systems of Differential Operators That Are Douglis–Nirenberg Elliptic
in Domains of Finite Measure

K. Kh. Boimatov p. 341  abstract

On the Complexity of Asymptotically Optimal Coverings and Packings

N. N. Kuzyurin p. 345  abstract

A Homogenization Technique for Quasilinear Parabolic Equations
with Higher-Derivative Coefficients Rapidly Oscillating in Time

V. B. Levenshtam p. 347  abstract

Noncommutative VMO Spaces, Coherent Nuclearity, and Bounded Extensions of Matrices

V. I. Ovchinnikov p. 350  abstract

The Jackson and Bernshtein Inequalities for the System of Root Functions
of the Differentiation Operator with Nonlocal Boundary Condition

G. V. Radzievskii p. 353  abstract

Theorems on a Complete Set of Isomorphisms for General Elliptic Systems

I. Ya. Roitberg and Ya. A. Roitberg p. 357  abstract

Elliptic Operators on the Manifolds with Edge Singularities

B. Yu. Sternin, V. E. Shatalov, and B.-V. Schulze p. 363  abstract

Spectral Asymptotics of a Nonself-Adjoint Problem of the Gasymov–Kostyuchenko Type

K. Kh. Boimatov p. 367  abstract

Anisotropic Loss of Smoothness in the Representation
of Differentiable Invariants of Groups Generated by Reflections

O. A. Gokhman p. 369  abstract

Wiener-Type Theorems for Generalized Functions and the Stieltjes Transform

Yu. N. Drozhzhinov and B. I. Zav’yalov p. 372  abstract

Estimates for the Number of Forced Periodic Oscillations in Nonlinear Systems

M. A. Krasnosel’skii^† p. 376  abstract

The Scales of the Kinds of Structures

Yu. N. Pavlovskii p. 379  abstract

Compensators of the Ishlinskii Hysteresis Nonlinearities

D. I. Rachinskii p. 382  abstract

Potential Estimates in Nonpotential Boundary Value Problems

M. A. Krasnosel’skii^†, R. Menniken, and D. I. Rachinskii p. 386  abstract

Linear Functionals on Idempotent Spaces: An Algebraic Approach

G. L. Litvinov, V. P. Maslov, and G. B. Shpiz p. 389  abstract

Elimination of Quantifiers for Commutative Theories

E. A. Palyutin p. 392  abstract

On the Existence and Nonexistence of Periodic Solutions
to Some Nonlinear Hyperbolic Equations

S. I. Pohozaev p. 395  abstract

High-Order Linear Equations of the Sobolev Type

G. A. Sviridyuk and O. V. Vakarina p. 400  abstract

The Moment Analysis of a Branching Random Walk on a Lattice with a Single Source

L. V. Bogachev and E. B. Yarovaya p. 403  abstract

Topological Properties of Mappings from the Sobolev Classes with Summable Jacobians

S. K. Vodop’yanov p. 407  abstract

Regular Solutions for Some Sobolev-Type Degenerate Equations

A. I. Kozhanov p. 411  abstract

Existence of Positive Solutions to Some Nonlinear Neumann Problems

S. I. Pohozaev and A. Tesei p. 414  abstract

Ramer’s Formulas for Feynman Path Integrals

O. G. Smolyanov and A. Truman p. 418  abstract

Characterization of the Behavior of Integral Functionals
on Weakly Convergent Sequences in Terms of the Theory of Young Measures

M. A. Sychev p. 422  abstract

Interior Layers and the Regularization of the Verigin–Muskat Classical Problem

D. Hillhorst and E. V. Radkevich p. 426  abstract

The Noetherian Property of the Operators of Biconvolution with Rotation Operators

B. Ya. Shteinberg p. 430  abstract

Conditions for Smoothness of Coefficients of Regular Differential Operators

A. I. Vagabov p. 433  abstract

Extremal Properties of Discrete Measures, a Universal Sequence, and the Duality Principle

M. L. Gerver and E. A. Kudryavtseva p. 436  abstract

One Generalization of Connectedness and Its Application to Differential Calculus
and the Stability Theory of Classes of Mappings

M. V. Korobkov p. 440  abstract

The Navier–Stokes System in Which the Boundary-Condition Type
Has a Time-Dependent Discontinuity with Nonsmooth Evolution

V. N. Maslennikova and M. E. Bogovskii p. 444  abstract

A Criterion for Convergence of Regularization Method Approximations in Banach Spaces

L. D. Menikhes and V. P. Tanana p. 449  abstract

On the Optimality of Almost All Bases in P_k

V. A. Orlov p. 452  abstract

Universal Horn Classes and Color-Families of Graphs

V. A. Gorbunov and A. V. Kravchenko p. 454  abstract

Reduced Moduli of Open Sets in the Theory of Analytic Functions

V. N. Dubinin p. 458  abstract

Modeling of Forms and Processes in Homogeneous Structures

A. S. Dumov p. 462  abstract

Weight Riesz Potentials: Singular Problems

I. A. Kipriyanov p. 465  abstract

Representations of a Supersymmetric Fock Space
by Spaces of Functions Taking Values in a Superalgebra

J. Kupsch and O. G. Smolyanov p. 468  abstract

Mathematical Physics

Effective Characteristics of an Infinite Matrix with Periodic Rectangular Inclusions

Yu. V. Obnosov p. 473  abstract

Description of Experiments Detecting p-Adic Stochastics in Quantum Diffraction Experiments

A. Yu. Khrennikov p. 478  abstract

Estimates for Derivatives of the Shift Operator along Particles’ Paths in an Ideal Fluid Flow

A. B. Morgulis p. 481  abstract

Evaluation of Eigenvalues of the Problem of Hydrodynamic Stability
of Viscous Liquid Flow between Two Rotating Cylinders at Small Reynolds Numbers

V. A. Sadovnichii, V. V. Dubrovskii, S. I. Kadchenko, and V. F. Kravchenko p. 483  abstract

Computer Science

A New Concept of the Solution for Problems of Accepting Offers and Noncooperative Games

Yu. G. Evtushenko and E. R. Smol’yakov p. 487  abstract

An Approach to the Recognition Problem

V. B. Kudryavtsev, K. Momirovic, and . Uymli p. 490  abstract

The Role of Image Coding in Recognition

Yu. I. Neimark and L. G. Teklina p. 492  abstract

Control Theory

Robust Regulator Synthesis in the Tracing Problem under Uncertainty Conditions

V. A. Brusin p. 494  abstract

Author Index to Vols. 57 and 58, 1998 p. 497