Contents
Doklady Mathematics

Vol. 59, No. 2, 1999

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

Translated from Doklady Akademii Nauk, Volume 365, Nos. 1–6, 1999

Volume 59, March–April.

MATHEMATICS

On the Basis Property of Systems of Exponentials, Cosines, and Sines in L_p

B. T. Bilalov p. 175  abstract

Linear Operators Whose Symbols are Functions of the Products of Their Arguments

A. V. Bratishchev p. 177  abstract

Asymptotic Stability of Solutions to Systems of Continuous-Time Delayed
Linear Difference Equations with Random Perturbations of Coefficients

D. G. Korenevskii p. 181  abstract

Analogues of Spectral Relations for Wiener–Hopf Operators with Mellin Convolution

N. G. Moiseev p. 184  abstract

Nonstationary Problems for Equations of Fuks–Borel Type

B. Yu. Sternin, V. E. Shatalov, and B.-W. Schulze p. 189  abstract

On the Exceptional Set in the Generalized Binary Goldbach Conjecture

G. I. Arkhipov, K. Buriev, and V. N. Chubarikov p. 193  abstract

The Cauchy Problem for the Heat Equation with a Strongly Variable Coefficient

V. P. Glushko and S. A. Tkacheva p. 196  abstract

On Positive Definiteness of Some Functions

V. P. Zastavnyi p. 201  abstract

The Parameter Functionalization Method in the Eigenvalue Problem

M. A. Krasnosel’skii^† and M. G. Yumagulov p. 204  abstract

On the Problem of Continuation of Unbounded Measures on Projectors to Weights

G. D. Lugovaya and A. N. Sherstnev p. 207  abstract

The Smoothness of Solutions to Equations with a Degenerating Pseudodifferential Operator

E. V. Semenko p. 209  abstract

On the Index of Elliptic Operators on Manifolds with Conical Singularities

B. Yu. Sternin, V. E. Shatalov, and B.-W. Schulze p. 212  abstract

Representation of the Sets of Attraction That Arise in Successive Weakening of Constraints

A. G. Chentsov p. 216  abstract

The Eigenvalue and Trace of the Sturm–Liouville Operator as Differentiable Functions
of a Summable Potential

V. A. Vinokurov and V. A. Sadovnichii p. 220  abstract

To the Injectivity Problem for Quasiregular Space Mappings

M. Vuorinen, O. Martio, and V. Ryazanov p. 223  abstract

Conditions for Regularity of Quantum Quadratic Stochastic Processes

N. N. Ganikhodzhaev and F. M. Mukhamedov p. 226  abstract

On Solution of the Inverse Problem of Determination of a Singular Sturm–Liouville Equation
from Two Spectra

Z. M. Gasymov p. 229  abstract

The Existence of Spacelike Surfaces with Specified Values on the “Ideal” Boundary

E. G. Grigor’eva p. 231  abstract

Local Boundary Rigidity of Riemannian Manifolds of Above–Bounded Curvature

N. S. Dairbekov, C. B. Croke, and V. A. Sharafutdinov p. 234  abstract

Estimation in L_p (1 p 2) of the Difference between Spectral Functions
of the Laplace Operator to a Power Defined on a Triangle

V. V. Dubrovskii and E. A. Puzankova p. 236  abstract

Stabilization of Solutions to Three Problems of a One-Dimensional Viscous Barotropic Gas Flow

A. A. Zlotnik p. 239  abstract

Two-Dimensional Minimal Surfaces in Pseudo-Euclidean Spaces

A. N. Kondrashov p. 244  abstract

Simplest Representations of Symmetry Groups of Regular Polyhedra in R³

V. N. Karpushkin p. 247  abstract

On the Spectral Theory of Boundary Problems for Irregular Equations

V. V. Kornienko p. 249  abstract

On the Equiconvergence Rate of Spectral Expansions

V. M. Kurbanov p. 252  abstract

The Asymptotic Behavior of Solutions to the Linear Transport Equation as t +

V. V. Kucherenko and Kh. Eskivel p. 258  abstract

Multipliers and Linear Functionals in Privalov’s Spaces of Holomorphic Functions in the Disk

R. Metrovi and A. V. Subbotin p. 260  abstract

Estimation of the Number of Connected Sets in a Graph and the Structure
of Components of Random Subsets

A. A. Sapozhenko p. 263  abstract

Description of Functioning of the Human Unconscious by p-Adic Dynamical Systems

A. Yu. Khrennikov p. 266  abstract

Time Asymptotics of Solutions to the Generalized Kolmogorov–Petrovskii–Piskunov Equation

I. A. Shishmarev p. 269  abstract

The Inverse Problem of Best Approximation Theory in F-spaces

A. I. Vasil’ev p. 273  abstract

Generalized Stone Approximation Theorem for Arbitrary Algebras of Functions

A. N. Gorban’ p. 276  abstract

Principles of the Stability Theory in the C^l-Norm of Classes of Solutions
to Systems of Linear Partial Differential Equations

A. P. Kopylov p. 279  abstract

A Problem with Two Nonlocal Boundary Conditions for a Mixed-Type Equation

M. E. Lerner and O. A. Repin p. 283  abstract

A Stable Method for Solving Linear Equations with Nonuniformly Perturbed Operators

M. M. Potapov p. 286  abstract

Decomposition of Generalized Triangular Groups into an Amalgamated Free Product

V. V. Benyash-Krivets p. 289  abstract

Inverse Problems for the Hill and Dirac Operators

E. L. Korotyaev p. 292  abstract

On the Implementation of Functions by Circuits and Formulas over Functionally Complete Bases

V. A. Orlov p. 296  abstract

Relatively Strongly p-Sectorial Linear Operators

G. A. Sviridyuk and G. A. Kuznetsov p. 298  abstract

The Newton Formula for a Schrödinger Operator with a Kato Potential

V. S. Serov and A. G. Razborov p. 301  abstract

Series of Nonlinear Power Moments and Time-Optimal Control

G. M. Sklyar and S. Yu. Ignatovich p. 304  abstract

MATHEMATICAL PHYSICS

Acoustic Vibrations and Intrusion in a Viscous Compressible Stratified Fluid

A. V. Glushko p. 307  abstract

Markov Evolution Equations in Factorized Probability Spaces

V. P. Maslov and A. M. Chebotarev p. 312  abstract

COMPUTER SCIENCE

Entropy Methods for Definition of Generalized Characteristics of Systems

N. I. Kurenkov and B. D. Lebedev p. 317  abstract

Saddle Points and Active Equilibriums in Differential Games with Dependent Strategies

E. R. Smol’yakov p. 320  abstract

Existence Theorems for Saddle Points in Games with Dependent Strategies

E. R. Smol’yakov p. 324  abstract

Mean Losses in Classification Problems with a Limited Sample Size

N. G. Startseva p. 327  abstract

CONTROL THEORY

Asymptotic Approximation for Loops with Self-Organizing Optimal Regulators of Binomial Type

A. A. Krasovskii p. 331  abstract

Control of Oscillations of a Nonlinear System in the Sense of a Nonnegative Functional

A. S. Shiryaev p. 334  abstract

Constrained Stabilizing Feedback for Delay Control Systems

N. V. Balashevich, R. Gabasov, and F. M. Kirillova p. 337  abstract

Estimation of the Stability Radius of Infinite-Dimensional Systems

N. A. Bobylev and A. V. Bulatov p. 342  abstract

Pleiades Publishing home page | journal home page | top

If you have any problems with this server, contact webmaster.