Contents
Doklady Mathematics

Vol. 60, 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 368, Nos. 1–6, 1999

Volume 60, September–October.

Mathematics

To the Theory of Disconnected Homogeneous Orders

A. K. Guts and N. L. Shalamova p. 151  abstract

On the Zeta Function of Operators Associated with a Smooth Bundle

M. V. Korovina p. 154  abstract

Boundary Value Problems for Differential Equations of Even Order
with Multiple Characteristics

E. G. Orudzhev p. 157  abstract

Some Problems of Integral Geometry on Anosov Manifolds

V. A. Sharafutdinov p. 161  abstract

Linear Representability of Akivis Algebras

I. P. Shestakov p. 164  abstract

Generating and Differential Ideals and Zero Sets of Their Generators

A. V. Abanin and I. S. Shabarshina p. 167  abstract

The Trace of a Laplace–Beltrami Operator with Potential on a Zoll Surface

A. N. Bobrov p. 170  abstract

A Semigroup in the Diffusion Problem on a Spatial Mesh

M. I. Kamenskii, O. M. Penkin, and Yu. V. Pokornyi p. 173  abstract

On the A-Convergence of Series

P. L. Ul’yanov p. 176  abstract

Some Integral Geometry Problems on a Strip and the Problem of Inversion
of the X-ray Transform with Incomplete Data

A. Kh. Begmatov p. 180  abstract

On Essential Extensions of T₀-Spaces

Yu. L. Ershov p. 184  abstract

On the -Regularity of Solutions to Systems of Partial Differential Equations
Locally Similar to Elliptic Systems of Linear Equations with Constant Coefficients

A. P. Kopylov p. 188  abstract

A Method of Dynamic Adaptation for Numerical Solution
of Time-Dependent Multidimensional Stefan Problems

V. I. Mazhukin, A. A. Samarskii, and M. M. Chuiko p. 192  abstract

Stability Estimation in the Problem of Determining the Speed of Sound

V. G. Romanov p. 196  abstract

Uniqueness and Stability of Solutions to Inverse Problems
for Second-Order Differential Equation

A. Khaidarov and Z. Zaripov p. 201  abstract

Finite-Dimensional Regularization of Optimal Control Problems
by Solutions of Monotone Variational Inequalities

M. Yu. Kokurin p. 203  abstract

Trace Formulas for Non-Nuclear Perturbations

Kh. Kh. Murtazin and Z. Yu. Fazullin p. 206  abstract

Approximations by Ridge Functions and the Nikol’skii–Kolmogorov Problem

K. I. Oskolkov p. 209  abstract

The Rate of Equisummability of the Exponential Fourier Series and the Fourier Integral

E. I. Radzievskaya and G. V. Radzievskii p. 213  abstract

Weight Optimal Cubature Formulas in a Periodic Sobolev Space

M. D. Ramazanov and Kh. M. Shadimetov p. 217  abstract

On Operators Admitting Decomposition of Index Formulas
for Spectral Boundary-Value Problems

A. Yu. Savin p. 220  abstract

On the Kantorovich Norm for Alternating Measures

Yu. V. Sadovnichii p. 223  abstract

On a Case of Integration of the Löwner Equation with Rotational Symmetry

G. D. Sadritdinova p. 226  abstract

The Stabilization Conditions for a Minimal Surface over a Half-Strip

R. S. Akopyan p. 228  abstract

The Implicit Function Theorem and Abnormal Points

A. V. Arutyunov p. 231  abstract

Invertibility of Linear Differential Operators and Exponential Dichotomy

A. G. Baskakov p. 235  abstract

Necessary Conditions for the Existence of Doubly Connected Hypersurface
of a Given Mean Curvature

A. G. Korolev p. 238  abstract

The Chernavskii Theorem Revisited

O. Martio and V. Ryazanov p. 240  abstract

The Index of Quantized Contact Transformations on Manifolds with Conical Singularities

V. E. Nazaikinskii, B. Yu. Sternin, and B.-W. Schulze p. 243  abstract

Formulas for the Norm and Logarithmic Norm of a Linear Operator on a Subspace

A. I. Perov p. 246  abstract

Multidimensional Integral Operators with Kernels Homogeneous of Degree –n

O. G. Avsyankin and N. K. Karapetyants p. 249  abstract

Conditional Derivatives and Exhausters in Nonsmooth Analysis

V. F. Dem’yanov p. 252  abstract

Normalized Periodic Eigenfunctions of Some Class
of Quasilinear Integro-Differential Equations

Ya. M. Dymarskii p. 256  abstract

An Epimorphicity Criterion for a Convolution Operator with Point Support
in the Space of Functions Holomorphic on a Connected Set in

S. V. Znamenskii and E. A. Kozlovskaya p. 259  abstract

Irreducible Representations of Group Algebras of Linear Groups

A. V. Tushev p. 262  abstract

Mathematical Physics

The Importance of the Radiation Absorption Coefficient in Diagnosis
of Scattering and Absorbing Media

D. S. Anikonov and I. V. Prokhorov p. 264  abstract

Dynamic Systems and Cauchy–Riemann Relations for the Wave, Laplace, Telegraph,
and Helmholtz Equations

E. V. Nikol’skii p. 267  abstract

Description of Logarithmic Relaxation by a Hierarchical Random Walk Model

V. A. Avetisov, A. Kh. Bikulov, and S. V. Kozyrev p. 271  abstract

A Direct Method for Solving Boundary-Value Problems

V. E. Shemarulin p. 275  abstract

Factorization of Nonlinear Ordinary Differential Equations and Linearization

L. M. Berkovich p. 278  abstract

Recognition of the Shape of a Scatterer Located in the Vicinity of Other Bodies,
Given Its Several Scattering Diagrams

B. Z. Katsenelenbaum p. 283  abstract

Propagation of TE Waves through a Layer Having Permittivity Depending
on the Transverse Coordinate and Lying between Two Half-Infinite Nonlinear Media

V. S. Serov, Yu. V. Shestopalov, H. W. Schürmann p. 286  abstract

Computer Science

On the Statistical Stability of Decision Functions in Recognition Problems
and Regression Analysis

G. S. Lbov and T. A. Stupina p. 289  abstract

The Structure of the Universe for Functional Systems with an Atomic-Level Description

V. F. Yakovlev p. 293  abstract

Travelling Waves in Polynomial Population Models

F. S. Berezovskaya and G. P. Karev p. 295  abstract

Asymptotics of Information Loss under Discretization of Random Processes

I. G. Vladimirov p. 300  abstract

Group Insurance of Large Risks

G. Sh. Tsitsiashvili p. 304  abstract

Control Theory

On the Divergence Conditions for the Asymptotic Stability
of Second-Order Nonlinear Dynamical Systems

V. P. Zhukov p. 306  abstract

Control of Systems with One Degree of Freedom under Constraints
on the Controlling Force and the Rate of Its Change

F. L. Chernous’ko p. 309  abstract

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