Contents
Doklady Mathematics

Vol. 59, No. 3, 1999

English language translation of the journal is available from “ / Interperiodica” (Russia).
Doklady Mathematics ISSN 1064–5624.

Translated from Doklady Akademii Nauk, Volume 366, Nos. 1–6, 1999

Volume 59, May–June.

Mathematics

The Basis Property of the System of Root Functions of a Boundary-Value Problem
with Displacement for a Parabolic–Hyperbolic Equation

A. S. Berdyshev p. 345  abstract

An Analogue of the Bitsadze–Samarskii Problem for a Class of Hyperbolic Equations

M. Mirsaburov and M. S. Salakhitdinov p. 348  abstract

Nonexistence of Positive Solutions for a System of Quasilinear Elliptic Equations
and Inequalities in ^N

E. Mitidieri and S. I. Pohozaev p. 351  abstract

Approximation Properties of Some Types of Sequences of Entire Functions

A. Yu. Popov p. 356  abstract

Extension of the Concept of a Saddle Point in Zero-Sum Games

E. R. Smol’yakov p. 359  abstract

Variational Problems on an Abstract Banach Space

A. V. Uglanov p. 362  abstract

On Mixed Problems for the Korteweg–de Vries Equation with Irregular Boundary Data

A. V. Faminskii p. 366  abstract

Differentiation in the Problem of an Approximation Ensuring the Best Allocation

V. I. Berdyshev p. 368  abstract

Exact Analogues of the Hardy Inequality for Differences in the Case of Related Weights

V. I. Burenkov and M. L. Goldman p. 372  abstract

On Differential Calculus in Bialgebras and Quantum Groups

D. P. Zhelobenko p. 375  abstract

On a Property of Entire Characteristic Functions of Finite Order with Real Zeros

H. Carnal and G. M. Fel’dman p. 379  abstract

Completeness of a System of Functions Linearly Depending on a Parameter

A. I. Noarov p. 381  abstract

Stabilization of Solutions to the First Mixed Problem for the Wave Equation
in Domains with Infinite Boundaries

A. V. Filinovskii p. 384  abstract

Stability of Steplike Contrast Structures in Two Dimensions

V. F. Butuzov and I. V. Nedel’ko p. 387  abstract

Algebraic–Geometric Poisson Brackets for Difference Operators and Volterra Systems

A. P. Veselov and A. V. Penskoi p. 391  abstract

Dynamical Systems on Partially Ordered Sets

P. B. Gusyatnikov and P. P. Gusyatnikov p. 395  abstract

On One Problem of Kufarev

V. Ya. Gutlyanskii and Yu. E. Khokhlov p. 398  abstract

Improved Well-Posedness of Problems in Mathematical Physics
Involving Linear Constraints

E. G. D’yakonov p. 401  abstract

Necessary and Sufficient Conditions for the Existence of a Correct Algorithm
for Recognition Problems in Linear Closures

M. V. Kurkina p. 406  abstract

Multioperator Schemes of Arbitrary Order Based on Noncentered Compact Approximations

A. I. Tolstykh p. 409  abstract

Eigenvalues of Products of Non-Hermitian Toeplitz Matrices

N. L. Zamarashkin and E. E. Tyrtyshnikov p. 413  abstract

Global Attractors of Multivalued Semidynamic Systems and Their Approximations

A. V. Kapustyan and V. S. Mel’nik p. 415  abstract

Nonlocal Elliptic Problems in the Sobolev Spaces (Q)

O. A. Kovaleva and A. L. Skubachevskii p. 419  abstract

One Necessary Condition for Normality of Differential Operators

F. G. Maksudov and Z. I. Ismailov p. 422  abstract

A-Classification of Functions of Many-Valued Logic

S. S. Marchenkov p. 425  abstract

Weakly Sufficient Sets on Riemann Surfaces

V. V. Napalkov and R. A. Bashmakov p. 428  abstract

Duality for Generalized Programming Problems and Variational Principles
in Models of Economic Equilibrium

A. A. Shananin p. 432  abstract

Exact Order of Approximation of Real Numbers by Algebraic Numbers

V. V. Beresnevich p. 435  abstract

The Inverse Problem of Variational Calculus for a Second-Order
Partial Differential Equation with Three Independent Variables

V. G. Zadorozhnii and V. G. Zadorozhnii p. 439  abstract

Error Analysis of Vector Splitting Methods for the Heat Equation
in Classes of Nonsmooth Data

S. B. Zaitseva and A. A. Zlotnik p. 442  abstract

On the Behavior of Solutions to Quasilinear Elliptic Inequalities
in a Neighborhood of a Singular Point

A. A. Kon’kov p. 447  abstract

Six-Dimensional Compact Homogeneous Einstein Manifolds

Yu. G. Nikonorov and E. D. Rodionov p. 451  abstract

Uniqueness Theorems for Closed Convex Surfaces

A. V. Pogorelov p. 454  abstract

The Inverse Problem for Standard Linear Programming Problems

S. M. Shvartin p. 457  abstract

An Invariant Version of Cartan’s Lemma and Complexification
of Invariant Domains of Holomorphy

Xiang-Yu Zhou p. 460  abstract

Conditions of Representation of Solutions to Boundary Value Problems
for the Laplace and Poisson Equations on Some Triangles and a Rectangle
by Algebraic Polynomials

E. A. Volkov p. 464  abstract

Balancing of Computer Systems and Networks

A. I. Gerasimov p. 467  abstract

Convexification of a Positive Homogeneous Function

V. F. Demyanov p. 470  abstract

Self-Adjoint Extension of the Schrödinger Operator with a Potential Concentrated on the Surface

M. V. Korovina p. 474  abstract

A Quadrature Formula for the Sphere of the 131st Algebraic Order of Accuracy

V. I. Lebedev and D. N. Laikov p. 477  abstract

The Case Where a Solution to a Boundary-Value Problem is a Polynomial

S. M. Nikol’skii p. 482  abstract

Mathematical Physics

Nonintegrability of a System of Interacting Particles with the Dyson Potential

A. V. Borisov and V. V. Kozlov p. 485  abstract

On the High-Mode Buffer Phenomenon in a Resonance Hyperbolic Boundary
Value Problem of Radiophysics

V. F. Kambulov, A. Yu. Kolesov, and N. Kh. Rozov p. 487  abstract

Computer Science

Combinatorial Optimization Problems with Two and Three Criteria

I. I. Melamed and I. Kh. Sigal p. 490  abstract

Control Theory

On a Research Technique for Dynamic Properties of Nonlinear Systems

V. P. Zhukov p. 494  abstract

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