Contents
Doklady Mathematics

Vol. 68, No. 1, 2003

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

Translated from Doklady Akademii Nauk, Volume 391, Nos. 1–6, 2003

Volume 68, July–August.

Mathematics

Calculation of the Index of Multidimensional Integral Operators
with Bihomogeneous Kernels

O. G. Avsyankin and V. M. Deundyak p. 1  abstract

Isomorphic Properties of One Class of Matrix Differential Operators

G. V. Demidenko p. 4  abstract

Hereditary Finite Axiomatizability of the Logic SLⁿ

A. G. Kravtsov p. 8  abstract

On Recognition of Some Properties of Systems of Finite-Valued Functions

V. A. Orlov p. 11  abstract

Investigation of One Class of Two-Dimensional Integral Equations
with Fixed Singular Kernels in Connection with Hyperbolic Equations

N. Rajabov and L. Rajabova p. 14  abstract

A New Approach to the Concept of Optimality of Methods
for Solving Ill-Posed Problems

V. P. Tanana p. 17  abstract

A Generic Action of the Group ^d Can Be Embedded in an Action of the Group ^d

S. V. Tikhonov p. 20  abstract

Simple Representations of Solutions to the Problem of Vibrations of Elastic Bodies

A. I. Vagabov p. 23  abstract

On the Conformality of a Quasiconformal Mapping at a Point

V. Ya. Gutlyanskii and O. Martio p. 27  abstract

On One Multidimensional Tauberian Theorem
for Generalized Functions Taking Values in Banach Spaces

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

Codings and Their Application in the DNF-Implementation of Binary Functions

A. G. D’yakonov p. 34  abstract

Atoms and Minimal Diagrams of Virtual Links

V. O. Manturov p. 37  abstract

Regularized Traces of Operators Defined by Sesquilinear Forms 

V. A. Sadovnichii, V. E. Podol’skii, and A. N. Bobrov p. 40  abstract

Conflict Equilibria on Sets with Nonempty Intersections

E. R. Smol’yakov p. 42  abstract

Correct Solvability of a Nonlocal Boundary Value Problem
for Systems of Hyperbolic Equations

A. T. Asanova and D. S. Dzhumabaev p. 46  abstract

On the Asymptotic Behavior of Solutions to Nonlinear Dissipative Systems of Equations

E. I. Kaikina, P. I. Naumkin, and I. A. Shishmarev p. 49  abstract

Strong Spherical Means and Convergence of Multiple Trigonometric Series in L

O. I. Kuznetsova p. 54  abstract

On the Green Operator in Relative Elliptic Theory

V. E. Nazaikinskii and B. Yu. Sternin p. 57  abstract

Canonical Form of the Two-Component Filtration Equations

Yu. B. Radvogin p. 61  abstract

Stability of the Solution to a Two-Dimensional Inverse Problem of Electrodynamics

V. G. Romanov p. 65  abstract

Finite-Dimensional Sections of Functions
from Fractional Sobolev Classes on Infinite-Dimensional Spaces

H. Airault, V. I. Bogachev, and P. Lescot p. 71  abstract

On Reductions on Groups of Geodesic Flows
with (Left-) Right-Invariant Metrics and Their Fields of Symmetry

M. V. Deryabin and Yu. N. Fedorov p. 75  abstract

Homogenization on Periodic Lattices

V. V. Zhikov and S. E. Pastukhova p. 79  abstract

Subharmonics of Large Amplitudes in a Semilinear Duffing Oscillator

A. M. Krasnosel’skii and A. V. Pokrovskii p. 84  abstract

Unrecognizability of Manifolds. On Novikov’s Theorem
on the Unrecognizability of the Sphere ⁿ for n 5

V. P. Leksin and A. V. Chernavskii p. 89  abstract

A Cluster Asymptotics for the Eigenvalues of a Perturbation
of the Laplace Operator on the Sphere S²

V. A. Sadovnichii and Z. Yu. Fazullin p. 93  abstract

Summation of Multiplicative Functions over Numbers All Prime Divisors
of Which Lie in Special Intervals

M. E. Changa p. 97  abstract

Equivalent Normings of Spaces of Functions of Variable Smoothness

O. V. Besov p. 99  abstract

The Eiconal Equation in an Inhomogeneous Medium

A. V. Borovskikh p. 103  abstract

Necessary and Sufficient Conditions for the Boundedness
of the Maximal Operator in Local Morrey-Type Spaces

V. I. Burenkov and G. V. Guliev p. 107  abstract

Well-Posedness of the Problem of Determining the Parameters of Jets in an Ideal Fluid

V. N. Monakhov and E. V. Gubkina p. 111  abstract

Functions Equivalent to Regularly Varying Functions

V. V. Napalkov and V. A. Tarov p. 114  abstract

Embedding of Sobolev Spaces in Orlicz Spaces and in BMO Spaces with Power Weights

B. V. Trushin p. 118  abstract

A Generalized Multiparameter Weighted Nikol’skii–Lizorkin Inequality

A. A. Kalybay p. 121  abstract

An Unimprovable Estimate of Convergence Rate
in the Fictitious Domain Method for an Ocean Model

Sh. N. Kuttykozhaeva, Sh. S. Smagulov, and L. M. Tukenova p. 128  abstract

An Improvement of Kolmogorov’s Estimates Related to Random Number Generators
and a Definition of Randomness in Terms of Complexity

A. L. Semenov and An. A. Muchnik p. 132  abstract

Large-Scale Discrete Programming Problems:
Parametrization and Analysis of -Approximate Algorithms

I. Kh. Sigal p. 135  abstract

Mathematical Physics

On a Model of High-Temperature Superconductivity

V. P. Maslov p. 140  abstract

On an Elasto-Diffusion Problem

A. I. Koshelev p. 145  abstract

Control Theory

Unsolvability Conditions for the H Control Problem

D. V. Balandin and M. M. Kogan p. 148  abstract

Computer Science

A Method for Estimating the Accuracy of a Linear Regression Model

G. A. Ivanov, I. A. Krivosheev, and S. I. Smagin p. 151  abstract

Erratum to:

“On a Sufficient Condition
for Everywhere -Regularity of Solutions to Systems
of Nonlinear lth-Order Differential Equations”
[Doklady Mathematics, 2002, vol. 66, no. 1, pp. 29–32]

A. P. Kopylov

Theorem 4 and the preceding paragraph should read as follows:

“We conclude the paper with Theorem 4, according to which the condition q₀ > n in Theorem 3 is exact
at l = 1.

Theorem 4. If l = 1 and q₀ = n, then, for each pair of numbers t and such that t > 1 and 0, there
exists a system of form (3) satisfying conditions (i)–(iii) with the specified values of the parameters , q₀ ,
and t and having a -solution with nonremovable discontinuity.

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