Contents
Doklady Mathematics

Vol. 58, No. 2, 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 362, Nos. 1–6, 1998

Volume 58, September–October.

Mathematics

Continuity and Collapse of Geodesic Patterns of Flows on Surfaces

S. Kh. Aranson, E. V. Zhuzhoma, and V. S. Medvedev p. 173  abstract

An Optimal Method for Third-Kind Integral Equations

N. S. Gabbasov p. 177  abstract

Flag-Transitive Extensions of Dual Polar Spaces

A. A. Ivanov p. 180  abstract

Nonclosed David Classes

V. L. Potemkin and V. I. Ryazanov p. 183  abstract

Even and Odd Functions and Application of Their Properties to Solve Functional Equations

Yu. V. Sidorov p. 186  abstract

Extensors of Noncompact Lie Groups

S. M. Ageev, S. A. Bogatyi, D. Repovs, and P. Fabel p. 190  abstract

Criteria of Weighted Inequalities for Strong Maximal Functions
and Multiple Singular Integrals in Orlicz Classes

L. V. Kokilashvili p. 194  abstract

Fixed Point Theorems for Systems of Decreasing Functions with Additive Aggregation

N. S. Kukushkin p. 197  abstract

On the Smoothness of the Solution to the Dirichlet Problem for Hyperbolic Systems
in Domains with Conic or Angular Points

Nguen Man’ Hung p. 200  abstract

Nonnegative Solutions to Degenerating Quasilinear Parabolic Equations
with Measurable Coefficients

I. I. Skrypnik p. 204  abstract

Optimal Embeddings of the Hölder and Weight Spaces of Number Sequences

V. I. Fomin p. 207  abstract

Stability of Small Oscillations of a Rotating Asymmetric Gyroscope Filled by a Fluid

M. Yu. Yurkin p. 209  abstract

The Condition Number for the Method of Interpolation and Collocation
on Quasi-Nonuniform Grids for the Symm Equation

V. V. Voronin p. 213  abstract

A Sufficient Stability Condition in Explicit Construction of Discontinuous Solutions
to the Euler Equations

V. G. Grudnitskii p. 217  abstract

The Ellipsoid Method for Differential Games with a Terminal Integral Payment

G. E. Ivanov p. 219  abstract

A Function on Graphs

E. N. Kuz’min p. 223  abstract

On the Uniqueness of Solution to a First-Kind Integral Equation
over Real Finite-Dimensional Division Algebras

M. V. Neshchadim p. 225  abstract

The Dirichlet Problem and Its Inverse in a Domain with Compact Regular Boundary
for the Diffusion and Coulomb Potentials with Corrections

V. R. Kireitov p. 228  abstract

Embeddings of a Two-Dimensional Sphere in Stein Surfaces

S. Yu. Nemirovskii p. 231  abstract

The Finiteness Conditions That Weaken the Local Finiteness

A. V. Rozhkov p. 234  abstract

The Averaging of Dynamic Problems in the Theory of Elasticity with Strongly Varying Coefficients

G. V. Sandrakov p. 238  abstract

Elliptic Equations on Manifolds with Cusp-Type Singularities

B. Yu. Sternin, V. E. Shatalov, and B.-W. Schulze p. 242  abstract

The Sobolev Classes and Quasi-Conformal Mappings on the Carnot–Carathedory Spaces

S. K. Vodop’yanov p. 245  abstract

Optimization of Computer Systems and Networks

A. I. Gerasimov p. 249  abstract

Correctness of the Generalized Statement of Initial Boundary Value Problems
for Equations of a One-Dimensional Flow of a Inhomogeneous Viscous Heat-Conducting Gas

A. A. Zlotnik and A. A. Amosov p. 252  abstract

Enumeration of Events on Plane Lattices

V. N. Koshelev and S. I. Stasevich p. 257  abstract

Estimates for the Eigenvalues of the Operator + c(r) by Calculating Parameteric Derivatives
by the Monte Carlo Method

G. A. Mikhailov and R. N. Makarov p. 260  abstract

A Parallel Version of the Abstract Analogue of the Method of Program Iterations

A. G. Chentsov p. 264  abstract

On the Complexity of Deciphering the Threshold Functions of k-Valued Logic

V. N. Shevchenko and N. Yu. Zolotykh p. 268  abstract

Asymptotics of the Solution to a Singularly Perturbed Problem for the Diffusion Equation
in a Neighborhood of a Saddle Point of the Limiting Operator

R. G. Akhmetov p. 271  abstract

Asymptotic Behavior of the Averaged Distribution Function for Elliptic Systems
of Almost Periodic Operators

K. Kh. Boimatov p. 273  abstract

Density Theorems for Semigroups of Continuous Functions

S. E. Gilev and A. N. Gorban’ p. 277  abstract

Generalized Riemann Problem on a Riemann Surface

A. P. Soldatov p. 279  abstract

Mathematical Physics

An Integral Equation for Mixed Problems of Mathematical Physics
with Boundary Conditions Changing on a Ring

E. V. Kovalenko p. 283  abstract

Dynamics of a System of Ordinary Differential Equations Related to the Telegraph Equation

E. V. Petrova p. 286  abstract

On the Impossibility of Description of Turbulent Viscous Flows
by Nonstationary Solutions to the Navier–Stokes Equations with a Special Symmetry

V. G. Priimak p. 289  abstract

Boundary Value Problem for the Laplacian with Rapidly Oscillating Boundary Conditions

R. R. Gadyl’shin p. 293  abstract

A Diffusion Model for the Growth of Spatially Inhomogeneous Colloidal Aggregates

A. O. Ivanov p. 297  abstract

Informatics

A Computer-Based Acquisition of Expert Knowledge

O. I. Larichev and E. V. Naryzhnyi p. 302  abstract

A Polynomial-Time Algorithm That Recognizes the Commutative Equivalence
of Program Schemes

R. I. Podlovchenko and V. A. Zakharov p. 306  abstract

An Informational Approach to the Problem of Compressing Random Processes

R. I. Polonnikov and R. M. Yusupov p. 310  abstract

Control Theory

Stationary Problems of Boundary Control for Heat Convection Equations

G. V. Alekseev p. 314  abstract

Optimal Robust Control Laws for Linear Continuous Systems

M. M. Kogan p. 318  abstract

Control Algorithms for Oscillations in Hamiltonian Systems

I. A. Makarov and A. L. Fradkov p. 321  abstract

A Universal Stabilizing Controller for a Concatenated Dynamical System

A. A. Stotskii, J. K. Hedrick, and P. P. Yip p. 324  abstract

Quasi-Dissipativeness and L-Dissipativeness of Nonlinear Systems

A. L. Fradkov and I. G. Polushin p. 327  abstract

Operator Formalization of the Separation Property for Problems
of Guaranteed Control–Estimation

S. V. Kruglikov p. 330  abstract

Optimization and Learning Problems for Nonlocal Search in Metric Spaces

A. I. Propoi p. 335  abstract

A Learning Problem for a Nonlocal Search in Excitable Media

A. I. Propoi p. 338  abstract

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