Contents
Doklady Mathematics

Vol. 56, 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 356, Nos. 1–6, 1997

Volume 56, September–October.

Mathematics

Exact Inequalities of the Landau–Hadamard–Kolmogorov Type for Functions of Several Variables

V. F. Babenko, V. A. Kofanov, and S. A. Pichugov p. 645  abstract

The Method of Everitt and Giertz for Banach Spaces

K. Kh. Boimatov p. 648  abstract

Spectral Properties of Second-Order Differential Operators
with a Discontinuous Positive Weight Function

S. I. Mitrokhin p. 652  abstract

The Orthogonal Systems Generated by the Schrödinger Equation

I. E. Ovcharenko p. 655  abstract

(, )-Pairs of Lax for a One-Dimensional Nonlinear Evolution Equation

G. A. Rudykh p. 658  abstract

The Haar Problem for Sign-Sensitive Approximations

E. A. Sevast’yanov p. 661  abstract

On the Stability of a Nonautonomous Functional-Differential Equation

A. S. Andreev p. 664  abstract

Additive Inequalities for the Norms of Intermediate Derivatives

V. F. Babenko, V. A. Kofanov, and S. A. Pichugov p. 667  abstract

A Discrete Analogue of the Gel’fand–Levitan Method

S. I. Kabanikhin and G. B. Bakanov p. 670  abstract

Extremal Properties of Entire Functions of the Wiener Class and Their Applications

L. S. Maergoiz p. 674  abstract

Estimates of the Probability Moments of Critical Values of Parameters
of the Transfer Equation for Particles in a Stochastic Medium

G. A. Mikhailov and G. Z. Lotova p. 679  abstract

Existence Conditions for Aggregate Demand Functions

A. A. Petrov and A. A. Shananin p. 683  abstract

Invariant Manifolds of Multistep Finite-Difference Methods for Ordinary Differential Equations

L. Z. Fishman p. 686  abstract

Sums of Copies of Acyclic Spectra

A. A. Khusainov p. 689  abstract

The Exact Constants in the Inequality for the Modulus of the Derivative
and the Best Approximations of the Differentiation Functional at a Point of the Segment

V. I. Burenkov and V. A. Gusakov p. 691  abstract

The Problem of Determining a Riemannian Metric

G. G. Gacisalihoglu and A. Kh. Amirov p. 694  abstract

Equilibriums and Generalized Equilibriums in Exchange Models for Indivisible Commodities

V. L. Levin p. 696  abstract

Multiple-Scale Analysis and Wavelet Expansions of Spaces of Periodic Distributions

A. P. Petukhov p. 700  abstract

A Nonlinear Boundary Problem with Degeneration

Yu. D. Salmanov p. 704  abstract

The Small Viscosity Method for One-Dimensional Equations
of the Gas Dynamics Type without Pressure

A. N. Sobolevskii p. 707  abstract

Inequalities of the Kolmogorov Type for Operators
and Extremal Problems of Approximation Theory

V. F. Babenko, V. A. Kofanov, and S. A. Pichugov p. 710  abstract

A Direct Sequential Method for Systems of Linear Algebraic Equations

A. I. Zhdanov p. 713  abstract

The L_p-Theory of a Class of Nonlocal Parabolic Boundary Problems

N. V. Zhitarashu and S. D. Eidel’man p. 716  abstract

Generalized A-Analytic Functions in Tomography Problems

S. G. Kazantsev p. 720  abstract

Varieties of Algebras with Nontrivial Identities on Subalgebra Lattices

V. B. Repnitskii p. 723  abstract

The Strong Stability of Differential-Operator and Operator-Difference Schemes

A. A. Samarskii, P. N. Vabishchevich, and P. P. Matus p. 726  abstract

Stability of Classes of Lipschitzian Solutions to First-Order Linear Differential Equations

A. A. Egorov p. 729  abstract

Estimates of the Periodic Potential in Terms of Effective Masses

E. L. Korotyaev p. 733  abstract

On the Vector Boundary-Value Problems with Discontinuous Nonlinearities

M. A. Krasnosel’skii^† and A. V. Lusnikov p. 737  abstract

The Basis Property of the Root Functions of Second-Order Differential Equations

I. S. Lomov p. 740  abstract

Pseudodifferential Operators Whose Symbols Have Discontinuities
with Respect to Impulses and Coordinates

B. A. Plamenevskii p. 744  abstract

A Multidimensional Singular Integral Operator in the Spaces
Defined by Conditions on the kth-Order Mean Oscillation

R. M. Rzaev p. 747  abstract

The One-Dimensional Nonlinear Evolutionary Equation Admits a Countable Set
of Representations of Lax and Bogoyavlenskii

G. A. Rudykh p. 750  abstract

An Approach to the Discretization of Ill-Posed Problems

S. G. Solodkii p. 753  abstract

Canonical Homeomorphisms in Heisenberg Groups
Induced by Isomorphisms of Discrete Subgroups of PU(n, 1)

B. N. Apanasov p. 757  abstract

The Equiconvergence of the Spectral Expansion
Corresponding to the Schrödinger Operator with a Potential of Class L₁(R) with the Fourier Integral

S. A. Denisov p. 761  abstract

The Time Separation Principle and the Analysis of a Class
of Quasifinite Plausible Reasonings (in Terms of the Cantor Uncountability Theorem)

A. A. Zenkin p. 763  abstract

Synthesizing Optimal Control in a Linear-Quadratic Problem with Constraints

F. M. Kirillova and A. V. Lubochkin p. 766  abstract

Uniform Estimates for the Hill Operator

E. L. Korotyaev p. 770  abstract

Asymptotics of the Denominators of the Diagonal Padé Approximations
of Orthogonal Expansions

S. P. Suetin p. 774  abstract

Mathematical Physics

Extremal Properties of Wave Guides
with a Finite Number of Layers in Inverse Travel-Time Problems

M. L. Gerver and E. A. Kudryavtseva p. 777  abstract

Scattering of Elastic Waves on Planar Periodic Structures
in Anisotropic Media with Initial Stresses

A. S. Vshivtsev, A. G. Kisun’ko, V. P. Myasnikov, and A. V. Tatarintsev p. 781  abstract

A Stochastic Model with a p-Adic Distribution of Latent Variables
and Kolmogorov Physical Probabilities

A. Yu. Khrennikov p. 785  abstract

Conditions of the Maximum of the Minimal Eigenvalue under Several Constraints

A. P. Seiranyan p. 789  abstract

Reflection of Waves by a Randomly Heterogeneous Medium with a Fuzzy Boundary

V. F. Kravchenko and L. A. Pazynin p. 793  abstract

The Analytic Regularization Method for Diffraction of Waves on Curved Screens

A. E. Poedinchuk, Yu. A. Tuchkin, and V. P. Shestopalov p. 797  abstract

Computer Science

Symmetry of the Five-Dimensional Euclidean Space

V. V. Kondrat’ev and V. A. Utrobin p. 801  abstract

Control Theory

Real-Time Construction of a Positional Solution to a Linear Hierarchical Control Problem

R. Gabasov, F. M. Kirillova, and O. I. Kostyukova p. 805  abstract

Formulating and Commenting on the Law
of Optimal Adaptive Control for a Linear Discrete System

I. N. Beloglazov p. 809  abstract

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