Contents
Doklady Mathematics

Vol. 72, No. 3, 2005

English language translation of the journal is available from Pleiades Publishing, Inc.
Doklady Mathematics ISSN 1064–5624.

Translated from Doklady Akademii Nauk, Volume 405, Nos. 1–6, 2005

Volume 72, November–December.

Mathematics

Foundations of the Theory of Mappings with Bounded Distortion on Carnot Groups

S. K. Vodop’yanov p. 829  abstract

On Rearrangement Invariant Hull of Generalized Sobolev Spaces

M. L. Gol’dman p. 834  abstract

Asymptotically Homogeneous Generalized Functions
in Spherical Representation and Applications

Yu. N. Drozhzhinov and B. I. Zav’yalov p. 839  abstract

Analogue of the First Boundary Value Problem for a Nonlinear Equation
with Nonpower Degeneracy and a Generalized Right-Hand Side

S. A. Iskhokov p. 843  abstract

Theory of Connections and Bäcklund Transformations for Second-Order
Partial Differential Equations of General Type

A. K. Rybnikov p. 846  abstract

Grid Approximation of Parabolic Convection–Diffusion Equations
with Piecewise Smooth Initial Conditions

G. I. Shishkin p. 850  abstract

Piecewise Separating Transformation and Extremal Problems with Free Poles

A. K. Bakhtin p. 854  abstract

Classes of Sobolev Mappings on Carnot–Carathéodory Spaces:
Different Norms and Variational Problems

S. K. Vodop’yanov and N. N. Romanovskii p. 857  abstract

A Maximal Version of the Multidimensional Khinchin–Ostrovskii Theorem
and Its Applications

V. I. Gavrilov and A. V. Subbotin p. 861  abstract

Existence and Stability of Families of Periodic Solutions in Superlinear
and Sublinear Hamiltonian Systems

A. A. Zevin p. 864  abstract

Minimax Values and Parabolic Equations with Indefinite Nonlinearity

Ya. Sh. Il’yasov p. 869  abstract

Asymptotic Integration of Differential Equations with Large High-Frequency Terms

V. B. Levenshtam p. 872  abstract

New Estimate for the Spectral Function of Self-Adjoint Extension
in L²()of the Sturm–Liouville Operator
with a Uniformly Locally Summable Potential

I. V. Sadovnichaya p. 876  abstract

Unified Asymptotic Analysis of Interpolation Errors for Optimal Meshes

Yu. V. Vassilevski and A. Agouzal p. 879  abstract

Differential Invariants of Generic Hyperbolic Monge–Ampére Equations

A. M. Vinogradov, M. Marvan, and V. A. Yumaguzhin p. 883  abstract

Integrability of Mappings with Bounded Distortion on Carnot Groups

D. V. Isangulova p. 886  abstract

Properties of Choice Functions Generated by a Binary Relation on Compact Subsets

N. S. Kukushkin p. 891  abstract

Artificial Boundary Conditions for Stokes and Navier–Stokes Systems
in Layer-Like Domains

S. A. Nazarov and M. Specovius-Neugebauer p. 895  abstract

On a Generalization of Szemeredi’s Theorem

I. D. Shkredov p. 899  abstract

On Second-Order Derivatives of Convex Functions
on Infinite-Dimensional Spaces with Measures

V. I. Bogachev and B. Goldys p. 903  abstract

Generalized Differences and General Hypersingular Integrals

E. G. Gots and L. N. Lyakhov p. 908  abstract

Stability in the Liouville Theorem on Heisenberg Groups

D. V. Isangulova p. 912  abstract

Resolvent Matrices and Characteristic Functions of Extensions
of Isometric Operators

M. M. Malamud and V. I. Mogilevskii p. 917  abstract

Nonlinear Averaging of Entropy in Number Theory
and a Generalized Law of Large Numbers

Academician V. P. Maslov p. 925  abstract

Boolean Circuits with a Bounded Depth of Branching

D. Yu. Cherukhin p. 930  abstract

Regularity and Global Bounds of Densities of Invariant Measures
of Diffusion Processes

V. I. Bogachev, N. V. Krylov, and M. Röckner p. 934  abstract

A New Approach to the Study of Nonlinear Singular Integro-Differential
and Integral Equations

G. M. Magomedov, A. S. Lugueva, and M. S. Magomedov p. 939  abstract

Refinement of Zipf’s Law for Frequency Dictionaries

V. P. Maslov p. 942  abstract

Periodic Solutions to the Dirichlet Boundary Value Problem
for a Quasilinear Parabolic Equation with Low Diffusivity

O. E. Omel’chenko p. 946  abstract

Dynamical Systems and Functional Equations Related to Boundary Problems
for Hyperbolic Differential Operators

B. P. Paneah p. 949  abstract

Construction of Algebraic Extensions of Lie Skew Fields

S. T. Sadetov p. 954  abstract

Pattern Recognition from Interpoint Distances

A. M. Shurygin p. 959  abstract

The Equational Closure Operator

S. S. Marchenkov p. 962  abstract

Carleman Estimates for Hyperbolic Equations

V. G. Romanov p. 964  abstract

The 1966 Gelfand–Kirillov Conjecture is True after Finite Extensions of Skew Fields

S. T. Sadetov p. 969  abstract

Degenerate Parabolic System of Equations for Three-Phase Filtration

V. V. Shelukhin p. 974  abstract

Mathematical Physics

Special Soliton Solutions to the Toda Lattice Hierarchy

S. P. Popov p. 978  abstract

Boundary and Control Problems for a Stationary Magnetohydrodynamic Model
of a Viscous Heat-Conducting Fluid

G. V. Alekseev p. 981  abstract

Computer Science

A Relation between the Depth of a Local Minimum and the Probability
of Its Detection in the Generalized Hopfield Model

B. V. Kryzhanovskii, B. M. Magomedov, and A. L. Mikaelyan p. 986  abstract

Control Theory

Optimal Evolution of a Dynamic System under High-Frequency Disturbances

L. D. Akulenko p. 991  abstract

Stabilization of Multivariable Sampled-Data Systems with Time Delay

B. P. Lampe and E. N. Rosenwasser p. 995  abstract

Adaptive Tuning of Bifurcation Regimes for Nonlinear Systems
with Nonunit Relative Degree

D. V. Efimov p. 998  abstract

Author Index to Volume 71, 2005 p. 1002

Author Index to Volume 72, 2005 p. 1004

Contents of Volumes 71 and 72, 2005 p. 1006

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