Contents
Doklady Mathematics

Vol. 59, No. 1, 1999

English language translation of the journal is available from “ / Interperiodica” (Russia).
Distributed worldwide by Kluwer Academic / Plenum Publishers. Doklady Mathematics ISSN 1064–5624.

Translated from Doklady Akademii Nauk, Volume 364, Nos. 1–6, 1999

Volume 59, January–February.

Mathematics

The Existence of Feller Semigroups in the Nontransversal Case

E. I. Galakhov and A. L. Skubachevskii p. 1  abstract

On the Nonexistence of Positive Solutions to Semilinear Elliptic Equations

Ya. Sh. Il’yasov p. 5  abstract

Mean Value Formulas for Regular Solutions to Singular Helmholtz and Schrödinger Equations

N. I. Kipriyanova and S. L. Lyakhova p. 7  abstract

A New Approach to Solution of Inverse Problems for a Wave Equation in Domains
with Moving Boundaries

V. S. Krutikov p. 10  abstract

The Principle of Positiveness of a Solution to the Linear Inverse Problem
and Its Application to the Coefficient Heat Conduction Problem

A. I. Prilepko and I. V. Tikhonov p. 14  abstract

Direct and Inverse Problems for a Differential Equation in a Space with a Cone

Yu. S. Eidel’man p. 17  abstract

Special Functions Related to Complex Lie Groups

I. M. Gel’fand and M. I. Graev p. 20  abstract

Tward a Degree Theory of Equivariant ₀C¹CC-Mappings

V. G. Zvyagin p. 24  abstract

Properties of Close-to-Harmonic Mappings

A. P. Kopylov p. 27  abstract

On the Uniform Asymptotic Stability of Solutions to an Inexact System
with Respect to an Invariant Set

Yu. A. Martynyuk-Chernienko p. 31  abstract

The Stieltjes Integral and Derivatives with Respect to the Measure
in Ordinary Differential Equations

Yu. V. Pokornyi p. 34  abstract

On the Condition Number of the System of Eigenfunctions of a Nonlinear Spectral Problem

S. A. Stepin p. 38  abstract

On the Tabulation Complexity of Infinitely Differentiable Functions and Functions Specified
by the Hölder Condition on Their Derivatives

G. G. Amanzhaev p. 42  abstract

Approximation of Convex Functions by Random Polygonal Lines

L. V. Bogachev and S. M. Zarbaliev p. 46  abstract

There Exist Endomorphisms of a Plane That Have Two-Dimensional Attractors

V. A. Dobrynskii p. 50  abstract

On Some Properties of the Beltrami Operator in the Riemannian Metric

L. A. Ivanov and I. P. Polovinkin p. 53  abstract

On Matrices Whose Spectrum Is Affected in a Predictable Way by Column Permutations

Kh. D. Ikramov p. 57  abstract

Analysis over Infinite Extensions of Local Fields

A. N. Kochubei p. 59  abstract

Distribution of Zeros of Eigenfunctions of the Sturm–Liouville Problem on a Spatial Grid

Yu. V. Pokornyi and V. L. Pryadiev p. 62  abstract

On the Classification of Discrete Functions of Various Smoothness

G. G. Amanzhaev p. 65  abstract

Formulas for Solutions and Coefficients of Differential-Difference Equations

Yu. E. Anikonov p. 68  abstract

The Splitting Technique as Applied to the Solution of the Nonlinear Dispersive
Shallow-Water Equations

V. B. Barakhnin and G. S. Khakimzyanov p. 70  abstract

An Inversion Formula for the Radon Transform Based on a Finite Number of Projections

I. G. Kazantsev p. 73  abstract

Stability in the C¹-Norm of Solution Sheaves of Elliptic Systems
of Linear Second-Order Partial Differential Equations

A. P. Kopylov p. 75  abstract

On -Derivations of Prime Lie Algebras

V. T. Filippov p. 79  abstract

On Invariant Manifolds of Finite-Difference Methods for Second-Order Ordinary
Differential Equations

L. Z. Fishman p. 81  abstract

Some Properties of Strong and Exponential Solutions
of Neutral-Type Differential-Difference Equations

V. V. Vlasov p. 83  abstract

Spectral Properties of Bifurcating Stationary Solutions
to Spatially Reversible Partial Differential Equations

L. Yu. Glebsky and L. M. Lerman p. 86  abstract

On Blowing-Up Solutions to Second-Order Parabolic Equations

Yu. V. Egorov and V. A. Kondrat’ev p. 90  abstract

Strong Summability of Multiple Fourier Series and Sidon-Type Inequalities

O. I. Kuznetsova p. 93  abstract

On the Mordell–Weil Lattices of Nonhyperelliptic Type

K. V. Nguyen and M.-H. Saito p. 96  abstract

Uniform Injectivity of Linear Parabolic Operators

A. G. Baskakov p. 99  abstract

Isomorphic Properties of Quasi-Elliptic Operators

G. V. Demidenko p. 102  abstract

Moment Functions of the Solution to the Cauchy Problem for the Stochastic Heat Equation

V. G. Zadorozhnii p. 107  abstract

Fractional Integrals of Imaginary Order in the Holder Space on an Interval

N. K. Karapetyants, L. D. Shankishvili p. 110  abstract

Stabilizers of Graph’s Vertices and a Strengthened Version of the Sims Conjecture

A. S. Kondrat’ev and V. I. Trofimov p. 113  abstract

Estimates for the Number of Solutions of a Class of Semilinear Elliptic Problems

V. B. Moroz p. 116  abstract

Mathematical Physics

The Method of Boundary Integral Equations for Determining Boundary-Layer Asymptotics
of the Solution to the Nonlinear Singularly Perturbed Heat Conduction Boundary Value Problem

V. F. Kravchenko and G. A. Nesenenko p. 119  abstract

Exact Solution of a Class of Riemann Problems for a Function System

R. V. Gol’dshtein and M. B. Konovalov p. 124  abstract

Surface Tension of Contrast Structures

A. A. Bykov, V. V. Voevodin, O. V. Kozyreva, V. Yu. Popov, and D. D. Sokolov p. 128  abstract

The Influence Function of the General Boundary Value Vectorial Problem in Transfer Theory

T. A. Sushkevich and S. A. Strelkov p. 132  abstract

Relaxation Optical Bistability: A New Class of Optically Bistable Elements

O. S. Bondarenko and V. A. Trofimov p. 137  abstract

Representations of Solutions to Some Schrödinger–Belavkin-Type Stochastic Equations
by Functional Integrals

S. Albeverio and O. G. Smolyanov p. 141  abstract

Computer Science

Iterative Regularized Solution of an Inverse Heat Conduction Problem

O. M. Alifanov, E. A. Artyukhin, and I. Yu. Gedzhadze p. 145  abstract

Control Theory

Identification of Uncertain Systems in the Class of Adaptive Algorithms with Uncertainty

N. N. Karabutov p. 149  abstract

The Uncertainty Principle for Automatic Control Systems

S. A. Klimov and V. I. Tumarkin p. 152  abstract

Equilibrium Solutions of an Auction Game Related to the Model
of Privatization of Indivisible Boons under the Conditions of Corruption

V. L. Levin and M. I. Levin p. 154  abstract

Optimal Control of a Class of Linear Degenerate Equations

G. A. Sviridyuk and A. A. Efremov p. 157  abstract

Asymptotic Behavior of Attainable Sets of Linear Controllable Periodic Systems

A. I. Ovseevich and T. Yu. Figurina p. 160  abstract

Heuristic Search and Related Boundary Value Problems

E. N. Oryol p. 163  abstract

Evolution Equations for Optimal Estimates of Attainable Sets
of Linear Systems with Indefinite Matrix

D. Ya. Rokityanskii p. 166  abstract

Degree of Stability of Loops with Transition Functions in the Form
of Integrals of Partial Taylor Sums

A. A. Krasovskii p. 169  abstract

On Reducibility of Families of Smooth Functions

V. I. Rabover p. 172  abstract

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