Contents
Doklady Mathematics

Vol. 69, No. 1, 2004

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

Translated from Doklady Akademii Nauk, Volume 394, Nos. 1–6, 2004

Volume 69, January–February.

Mathematics

On the Interpolation Properties of Generalized Spaces
of Nikol’ski–Besov and Lizorkin–Triebel Types

A. G. Baghdasaryan p. 1  abstract

Propagation and Interaction of -Shock Waves
for Hyperbolic Systems of Conservation Laws

V. G. Danilov and V. M. Shelkovich p. 4  abstract

On the Control Contour Method

V. I. Zubov p. 9  abstract

Isomorphism between Solution Spaces of Convolution Equations

V. V. Napalkov and V. É. Kim p. 13  abstract

Interpolation Theorems for Anisotropic Function Spaces and Their Applications

E. D. Nursultanov p. 16  abstract

Homogenization of Elasticity Problems on Periodic Rod Frames of Critical Thickness

S. E. Pastukhova p. 20  abstract

Spectral Mapping Theorems for Point Spectra for C₀-Semigroups
and Their Applications to Uniqueness Problems for Abstract Differential Equations

I. V. Tikhonov and Yu. S. Édelman p. 26  abstract

A Stability Theorem for Solutions to Backward Stochastic Differential Equations

A. V. Zakharov p. 30  abstract

A Boundary Control at Two Ends by a Process Described by the Telegraph Equation

V. A. Il’in and E. I. Moiseev p. 33  abstract

Cauchy Problem for Evolution Equations of a Fractional Order

A. N. Kochube and S. D. Édelman p. 38  abstract

On the Definition of Pseudodifferential Operators on Manifolds with Singularities

V. E. Nazakinski, A. Yu. Savin, and B. Yu. Sternin p. 41  abstract

The Maximum Principle for One Grid System of Equations
of Mixed Type and Its Applications

K. B. Sabitov and R. G. Idrisov p. 45  abstract

Multiphase Diffusion Models in Homogenization

G. V. Sandrakov p. 50  abstract

Autostable Boolean Algebras with Distinguished Ideals

P. E. Alaev p. 54  abstract

An Axisymmetric Boundary Layer on a Needle

A. D. Bruno and T. V. Shadrina p. 57  abstract

Analytic Solutions to Differential Operator Equations in Locally Convex Spaces

V. P. Gromov p. 64  abstract

On the Index of Differential Operators on Manifolds with Edges

V. E. Nazakinski, A. Yu. Savin, B. Yu. Sternin, and B.-W. Schulze p. 68  abstract

Vector Integrals and Their Applications

A. V. Uglanov p. 72  abstract

Exact Constants in Jackson-Type Inequalities for Approximation
of Analytic Functions from with 1 p 2

M. Sh. Shabozov and Kh. Kh. Pirov p. 76  abstract

Branching at Infinity of Solutions to Equations with Degeneration of Multiplicity 2

A. M. Krasnosel’ski and D. I. Rachinski p. 79  abstract

On the Properties of Solutions to a System
of Two Singular Integral Equations with Cauchy Operators

P. A. Krutitski and V. V. Kolybasova p. 84  abstract

The Pontryagin Maximum Principle for an Optimal Control Problem
with a Functional Specified by an Improper Integral

S. M. Aseev and A. V. Kryazhimski p. 89  abstract

On Accumulations of the Point Spectra of Elliptic Problems
in Domains with Cylindrical Ends

V. O. Kalvine, P. Neittaanmäki, and B. A. Plamenevski p. 92  abstract

The Mixed Boundary Value Problem of the Physics
of Magnetized Semiconductors in an Interior Domain with Cuts

P. A. Krutitski and A. O. Chikilev p. 95  abstract

Homogenization of Variational Inequalities Arising in Elastoplasticity

V. Chiadó Piat and G. V. Sandrakov p. 100  abstract

Bilinear Systems

A. M. Molchanov p. 104  abstract

One Class of Quadratic so(4) Hamiltonians

V. V. Sokolov p. 108  abstract

Controllability of the Navier–Stokes Equation by Few Low Modes Forcing

A. A. Agrachev and A. V. Sarychev p. 112  abstract

A Method for Solving a Singularly Perturbed System of Nonlinear Differential Equations

V. I. Vlasov and S. I. Bezrodnykh p. 116  abstract

On an Analytic Solvability of the Center-Focus Problem

N. B. Medvedeva p. 120  abstract

A Generic Preserving-Measure Transformation Has an Extensive Centralizer

A. M. Stepin and A. M. Eremenko p. 123  abstract

An Abstract Attainability Problem under Constraints of Asymptotic Character

A. G. Chentsov p. 127  abstract

Mathematical Physics

Necessary and Sufficient Conditions for the Polynomial Integrability
of Generalized Toda Chains

A. V. Borisov and I. S. Mamaev p. 131  abstract

Characteristic Approach to the Approximation of Conservation Laws
in Radiation Transfer Kinetic Equations

V. E. Troshchiev, A. V. Nifanova, and Yu. V. Troshchiev p. 136  abstract

Transformations of Some Nonlinear Differential Equations by Using the Group Approach

A. G. Megrabov p. 141  abstract

Computer Science

Combinatorial Bounds for Learning Performance

K. V. Vorontsov p. 145  abstract

Completeness Criteria for Models of Algorithms and Decision Rule Classes
in Classification Problems with Set-Theoretic Constraints

K. V. Rudakov and Yu. V. Chekhovich p. 149  abstract

Correct Sigma-Pi Extensions of One Admissible Class of Algorithms

Z. M. Shibzukhov p. 152  abstract

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