Contents
Doklady Mathematics

Vol. 87, No. 3, 2013

A simultaneous English language translation of this journal is available from Pleiades Publishing, Ltd.
Distributed worldwide by Springer. Doklady Mathematics ISSN 1064-5624.

Translated from Doklady Akademii Nauk, Volume 450, Nos. 1–6, 2013

Volume 87, May–June.

Mathematics

Stochastic Dynamics of Lie Algebras of Poisson Brackets in Neighborhoods
of Nonsmoothness Points of Hamiltonians

M. I. Zelikin, L. V. Lokutsievskii, and R. Hildebrand p. 259  abstract

Formulas for the Lyapunov Dimension of Attractors of the Generalized Lorenz System

G. A. Leonov p. 264  abstract

On Automorphisms of a Distance-Regular Graph with Intersection Array {51, 48, 8; 1, 4, 36}

A. A. Makhnev and M. S. Nirova p. 269  abstract

The Wiener Continuous Disorder Problem

A. F. Aliev p. 274  abstract

On the Spectrum of the Curvature Operator of Conformally Flat Riemannian Manifolds

O. P. Gladunova, E. D. Rodionov, and V. V. Slavskii p. 279  abstract

Estimates of the Uniform Modulus of Continuity for Bessel Potentials

M. L. Goldman, A. V. Malysheva, and D. Haroske p. 282  abstract

Linear Matrix Equations of the Sylvester Type in the Self-Conjugate Case

Kh. D. Ikramov p. 286  abstract

Hamiltonian and Feynman Aspects of Secondary Quantization

T. S. Ratiu and O. G. Smolyanov p. 289  abstract

Inverse Problems in Integral Formulas

I. I. Bavrin p. 293  abstract

Equiconvergence of Expansions in Multiple Trigonometric Fourier Series
and Integrals in the Case of a Lacunary Sequence of Partial Sums

I. L. Bloshanskii and D. A. Grafov p. 296  abstract

Cyclic Configurations of Spherical Polygons

G. K. Giorgadze and G. N. Khimshiashvili p. 300  abstract

Absolute and Uniform Convergence of Expansions in the Root Vector Functions
of the Schrödinger Operator with a Matrix Potential

V. M. Kurbanov and A. T. Garaeva p. 304  abstract

On the Spectrum of the Curvature Operator of a Three-Dimensional Lie Group
with a Left-Invariant Riemannian Metric

D. N. Oskorbin and E. D. Rodionov p. 307  abstract

Optimization of Guaranteed Results under Functional Restrictions
on the Dynamic Disturbance

D. A. Serkov p. 310  abstract

Exact Solution of the Sixth Painlevé Equation and Exotic Asymptotic Expansion

I. V. Goryuchkina p. 314  abstract

On the Simplicity of Jacobians for Hyperelliptic Curves of Genus 2
over the Field of Rational Numbers with Torsion Points of High Order

V. P. Platonov, V. S. Zhgun, and M. M. Petrunin p. 318  abstract

A Mixed Problem Describing Oscillations of a Nonhomogeneous Rod with Point Masses

A. M. Rogozhnikov p. 322  abstract

Mean-Periodic Solutions of a First-Order Linear Differential Equation

V. G. Zadorozhniy and G. A. Kurina p. 325  abstract

Self-Conjugacy Conditions for Semilinear Matrix Equations

Kh. D. Ikramov p. 331  abstract

Weak Convergence Theory for Strong Materials with p(x)-Growth

M. A. Sychev p. 334  abstract

The Best Linear Methods and Values of Widths for Some Classes of Analytic Functions
in the Bergman Weight Space

M. Sh. Shabozov and M. R. Langarshoev p. 338  abstract

Computational Complexity and Approximation for a Generalization
of the Euclidean Problem on the Chebyshev Center

V. V. Shenmaier p. 342  abstract

A Characterization of a Minimax Test in the Problem of Testing Two Composite Hypotheses

A. A. Gushchin p. 345  abstract

Stabilization Conditions for the Solution of the Cauchy Problem
for a Parabolic Equation with Growing Lower Order Coefficients

V. N. Denisov p. 348  abstract

Boundary Control of the Displacement at One End with the Other End Free
for a Process Described by the Telegraph Equation with a Variable Coefficient

L. V. Kritskov and M. F. Abdukarimov p. 351  abstract

Mathematical Physics

Mathematical Modeling of Energy Release in a Plasma Vortex Reactor

N. M. Evstigneev, F. S. Zaitsev, A. I. Klimov, N. A. Magnitskii, and O. I. Ryabkov p. 354  abstract

The Critical Value of the Maslov Distribution of a Sum of Debts
Taking into Account the Debt Durations

I. A. Molotkov p. 357  abstract

An Asymptotics of the Pauli Problem in Thermodynamics

A. E. Ruuge p. 360  abstract

Computer Science

Pointwise Correct Operations on Recognition and Prediction Algorithms

Z. M. Shibzukhov p. 364  abstract

Efficient Computation of Tolerances in the Weighted Independent Set Problem for Trees

B. I. Gol’dengorin, D. S. Malyshev, and P. M. Pardalos p. 368  abstract

Control Theory

A Production Model in the Conditions of Instable Demand
Taking into Account the Influence of Trading Infrastructure

N. K. Obrosova and A. A. Shananin p. 372  abstract

On Computational Methods for Gramians of Continuous Dynamic Systems

I. B. Yadykin and A. A. Galyaev p. 376  abstract

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