Contents
Doklady Mathematics

Vol. 57, No. 1, 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 358, Nos. 1–6, 1998

Volume 57, January–February.

Mathematics

A Quadratic System of Partial Differential Equations
Related to the Problem of Multiple Integral Minimization

M. I. Zelikin p. 1  abstract

Complex Powers of Second-Order Elliptical Differential Operators
with Degenerating Symbols in the Spaces L_p(ⁿ)

A. N. Karapetyants and V. A. Nogin p. 4  abstract

Necessary Conditions for Systems of Root Functions in L_p(G) to Be Basis and Uniformly Minimal

N. B. Kerimov p. 7  abstract

Rigid Bundles on Rational Surfaces

S. A. Kuleshov p. 10  abstract

Application of Finite Transducers to the Specification of Mappings and Fractal Sets

L. P. Lisovik p. 13  abstract

A New Approach to Construction and Substantiation
of Free Path Estimates in the Monte Carlo Method

G. A. Mikhailov p. 16  abstract

On the Decision Tree Depth

M. Yu. Moshkov p. 20  abstract

Problems of Integral Geometry for Special Curves and Surfaces with Singularities in Vertices

A. Kh. Begmatov p. 21  abstract

Evaluation of Multiple Mellin–Barnes Integrals with the Use of Multidimensional Residues

O. N. Zhdanov and A. K. Tsikh p. 24  abstract

Generalization of the Atkinson Theorem to Normally Solvable Operators in Banach Spaces

V. F. Zhuravlev p. 27  abstract

One Real Tauberian Theorem

B. I. Zav’yalov and Yu. N. Drozhzhinov p. 30  abstract

Discreteness of the Spectrum of First-Order Normal Differential Operators

Z. I. Ismailov p. 32  abstract

A Universal Asymptotics of Admissible Sets in Relaxation of Integral Constraints
and Its Representation in the Class of Finitely Additive Measures

A. G. Chentsov p. 34  abstract

Groups with the -Minimality Condition

N. S. Chernikov p. 38  abstract

The Discrete Spectrum of a Problem for a Pair of Poincaré–Steklov Operators

A. B. Bogatyrev p. 40  abstract

Asymptotics of the Sturm–Liouville Boundary-Value Problem
with Summable Potential on an Interval

V. A. Vinokurov and V. A. Sadovnichii p. 43  abstract

The Holomorphic Continuation of Functions along Complex Curves

A. M. Kytmanov and S. G. Myslivets p. 47  abstract

On the Tricomi Problem with a Nonlocal Conjugation Condition
for Equations of the Mixed Type

K. B. Sabitov and A. Kh. Isyangil’din p. 50  abstract

The Homogenization of Nonstationary Problems
in the Theory of Strongly Nonuniform Elastic Media

G. V. Sandrakov p. 54  abstract

Disjoint Systems and Complementable Subspaces of Permutation-Invariant Spaces

E. M. Semenov and F. L. Hernandez p. 58  abstract

Continuity of the Capacity in the Class of Capacitors with Uniformly Perfect Plates

V. V. Aseev p. 61  abstract

The Flows Generated by Vector Fields of the Sobolev Type
and the Corresponding Transformations of Probability Measures

V. I. Bogachev and E. Mayer-Wolf p. 64  abstract

An Approach to Ordering

O. V. Viskov p. 69  abstract

The Sobolev Theorem for the Riesz B-Potentials

V. S. Guliev p. 72  abstract

Continuous and Compact Embeddings in Besov Spaces of Vector-valued Functions

M. S. Dzhabrailov p. 74  abstract

The Representation of Solutions to Equations of Certain Classes
in Terms of Potentials of Measures Concentrated on the Set of Singularities of These Solutions

B. Zh. Ishchanov p. 77  abstract

Multiple Walsh Series: Convergence in Measure and Almost Everywhere

S. F. Lukomskii p. 81  abstract

Regularized Additive Full Approximation Schemes

A. A. Samarskii and P. N. Vabishchevich p. 83  abstract

Stochastic Analysis Involving the Levy Laplacian

L. Accardi and V. I. Bogachev p. 87  abstract

Sigma-Piecewise Functions and Disjunctive Programming Problems

I. I. Eremin p. 92  abstract

Asymptotic Expansion of a Stabilizing Solution to the Riccati Algebraic Equation

V. B. Larin p. 95  abstract

Exact Estimates for the Root Functions of the General Second-Order Elliptic Operator

A. S. Makin p. 98  abstract

The Problem of Continuation Periodic in the Mean

A. A. Ryabinin p. 101  abstract

Recognition of Processes Governed by Stochastic Differential Equations

I. N. Sinitsyn and V. I. Shin p. 104  abstract

Absolute Equilibrium in Differential Games

E. R. Smol’yakov p. 107  abstract

Smooth Regularization

I. G. Tsar’kov p. 110  abstract

Relaxation of Integral Constraints in the Class of Vector Finitely Additive Measures

A. G. Chentsov p. 112  abstract

Problems of Integral Geometry in the Three-Dimensional Space
Corresponding to Cones and Cone Generators

Akram Kh. Begmatov p. 117  abstract

The Asymptotic Behavior of the Multidimensional Distribution Function for Elliptic Operators in Rⁿ

K. Kh. Boimatov p. 119  abstract

Interior Estimates of the Weak Solution to the Dirichlet Problem
for a Second-Order Elliptic Equation

A. K. Gushchin p. 121  abstract

A Posteriori Error Estimates of Solutions to Elliptical Problems
Obtained by Means of Weakened Sobolev Spaces

E. G. D’yakonov p. 124  abstract

The Behavior of Solutions to Nonlinear Ordinary Differential Equations

A. A. Kon’kov p. 128  abstract

The Proof of the “Bellows” Conjecture for Polyhedra of Low Topological Genus

I. Kh. Sabitov p. 132  abstract

Mathematical Physics

Asymptotic Solution of a Nonstationary Heat Conduction Problem
with a Nonlinear Exponential-Type Condition on a Moving Boundary

V. F. Kravchenko and G. A. Nesenenko p. 136  abstract

The Complex Germ in the Relativistic Field Theory

V. P. Maslov and O. Yu. Shvedov p. 140  abstract

Exact Non-Self-Similar Solutions to the Multidimensional Nonlinear Diffusion Equation

G. A. Rudykh p. 144  abstract

Fast Neutron Reactor in the Self-regulating Regime of the Second Kind

V. Ya. Gol’din, N. V. Sosnin, and Yu. V. Troshchiev p. 147  abstract

Lax Pairs for the One-Dimensional Nonlinear Evolutionary Equation

and the Generalized Miura Transformation

G. A. Rudykh p. 149  abstract

Generalized Prandtl–Maslov Equations on Graphs That Describe Stretched Vortices
in an Incompressible Fluid

A. I. Shafarevich p. 152  abstract

Computer Science

Theory of Nonlinear Measurement Estimation

V. P. Anorov p. 156  abstract

Control Theory

Nonlinear Inverse Problems of Active Sound Control in Two-Dimensional Wave Guides

G. V. Alekseev and E. G. Komarov p. 160  abstract

Criterion Convergence of the Least-Squares Method in an Adaptive Control System

A. E. Barabanov p. 165  abstract

Optimal Digital Stabilization of Continuous Objects with Neutral Poles

E. N. Rozenvasser p. 168  abstract

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