Contents
Doklady Mathematics

Vol. 79, No. 3, 2009

English language translation of the journal is available from Pleiades Publishing, Ltd.
Distributed worldwide by Springer. Doklady Mathematics ISSN 1064–5624.

Translated from Doklady Akademii Nauk, Volume 426, Nos. 1–6, 2009

Volume 79, May–June.

Mathematics

On Minimal Virtual Link Diagrams

D. M. Afanasiev and V. O. Manturov p. 301  abstract

Estimates for Certain Approximation Characteristics of Nikol’skii–Besov Spaces
with Generalized Mixed Smoothness

D. B. Bazarkhanov p. 305  abstract

Cyclic Systems with a Service Delay

A. H. Hajiyev and T. Sh. Mamedov p. 309  abstract

The Problem of Control for Multi-Agent Motion: General Relations

A. B. Kurzhanski p. 314  abstract

Chebyshev Polynomials with Zeros Lying on a Circular Arc

L. S. Maergoiz and N. N. Rybakova p. 319  abstract

Mixed Problem for the Wave Equation with Robin Boundary Conditions

Yu. R. Nesterenko p. 322  abstract

Solution of One Integral Equation on a Sphere by Methods of Integral Geometry

R. G. Aramyan p. 325  abstract

Lower Estimates of Densities of Solutions of Elliptic Equations for Measures

V. I. Bogachev, M. Röckner, and S. V. Shaposhnikov p. 329  abstract

Feynman Formulas Generated by Self-Adjoint Extensions of the Laplacian

O. G. Smolyanov and H. von Weizsäcker p. 335  abstract

Nonlinear Regression Models with Increasing Numbers of Unknown Parameters

A. H. Hajiyev and V. G. Hajiyev p. 339  abstract

On Complex Benzi–Golub Matrices

Kh. D. Ikramov p. 342  abstract

Division Codes and an Area Theorem

V. P. Filimonov p. 345  abstract

Improvement of the Lower Bound in the Erdös–Hajnal Combinatorial Problem

D. A. Shabanov p. 349  abstract

Certain Aspects of Applying Newton’s Method to the Navier–Stokes Equations

M. E. Bogovskii p. 351  abstract

Asymptotically Homogeneous Generalized Functions at Zero and Convolution Equations
with Kernels Quasi-Homogeneous Polynomial Symbols

Yu. N. Drozhzhinov and B. I. Zav’yalov p. 356  abstract

Around Erdös–Szekeres Problems

V. A. Koshelev p. 360  abstract

Four Mixed Problems for the Vibrating String Equation with Boundary
and Nonlocal Dirichlet and Neumann Conditions

A. A. Kuleshov p. 362  abstract

On the Automorphism Group of the Aschbacher Graph

A. A. Makhnev and D. V. Paduchikh p. 365  abstract

Index of Nonlocal Elliptic Operators over C*-Algebras

A. Yu. Savin and B. Yu. Sternin p. 369  abstract

Automorphisms of Semitriangular Graphs with = 6

N. D. Zyulyarkina and A. A. Makhnev p. 373  abstract

Inversion of General Riesz B-Potentials with Homogeneous Characteristic
in Weight Classes of Functions

L. N. Lyakhov and E. L. Shishkina p. 377  abstract

On Solutions to Systems of Functional Equations of Multiple-Valued Logic

S. S. Marchenkov and V. S. Fedorova p. 382  abstract

On the Rate of Convergence of Solutions to the Prandtl Equations
in a Rapidly Oscillating Magnetic Field

M. S. Romanov, V. N. Samokhin, and G. A. Chechkin p. 384  abstract

Multiparameter Inverse Spectral Problems and Their Applications

V. A. Sadovnichii, Ya. T. Sultanaev, and N. F. Valeev p. 390  abstract

An Extension of the Notion of a Metric

P. I. Balk p. 394  abstract

All Expansions of Solutions to the Sixth Painlevé Equation near Its Nonsingular Point

A. D. Bruno and I. V. Goryuchkina p. 397  abstract

On the Solvability of the Navier–Stokes Equations
for a Nonhomogeneous Non-Newtonian Fluid

V. V. Zhikov and S. E. Pastukhova p. 403  abstract

Regularization of Stochastic Problems with Respect to Variables of Different Kinds

I. V. Melnikova p. 408  abstract

Differential Part of Transparent Boundary Conditions for Certain Hyperbolic Systems
of Second-Order Equations

I. L. Sofronov p. 412  abstract

Linear Autonomy Conditions for the Basic Lie Algebra of a System
of Linear Differential Equations

Yu. A. Chirkunov p. 415  abstract

Sharp Estimates in the Classes of Schur, Carathéodory, and Borel Functions

I. I. Bavrin p. 418  abstract

Optimal Coding of Continuous Functions

V. A. Vinokurov and V. A. Sadovnichii p. 421  abstract

The Randomized Algorithm for Finding an Eigenvector of the Stochastic Matrix
with Application to PageRank

A. V. Nazin and B. T. Polyak p. 424  abstract

Geometric Criteria for Holomorphy of Functions

O. A. Ochakovskaya p. 428  abstract

On the Bi-Hamiltonian Structure of the Goryachev System on the Sphere

A. V. Tsiganov p. 430  abstract

Mathematical Physics

Pseudodynamical Evolution and Path Integral in Quantum Field Theory

A. V. Stoyanovsky p. 434  abstract

Computer Science

On Stable Solutions to the Ordinal Social Choice Problem

F. T. Aleskerov and A. N. Subochev p. 437  abstract

Construction of Rating Function Using DEA Models

V. E. Krivonozhko, A. A. Piskunov, and A. V. Lychev p. 440  abstract

Control Theory

Synthesis of an Adaptive Regulator in the Stabilization of an Uncertain Discrete Linear System

E. Yu. Nebos’ko, A. V. Proskurnikov, and V. A. Yakubovich p. 445  abstract

Impulse Controls in Systems with Sliding Modes

I. A. Finogenko p. 449  abstract

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