Contents
Doklady Mathematics

Vol. 86, No. 2, 2012

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 446, Nos. 1–6, 2012

Volume 86, September–October.

Mathematics

Generalized Localization of Riesz Means of Spectral Expansions of Distributions

Sh. A. Alimov p. 597  abstract

On Automorphisms of a Strongly Regular Graph with Parameters (96, 45, 24, 18)

A. Kh. Zhurtov, A. M. Kagazezheva, and A. A. Makhnev p. 600  abstract

Minimax Optimization of the Numerical-Statistical Similar Trajectory Method

G. A. Mikhailov and S. A. Rozhenko p. 605  abstract

Problem of Kernel Recovering for the Viscoelasticity Equation

V. G. Romanov p. 608  abstract

On Amply Regular Locally GQ(4, 8)-Graphs

A. A. Makhnev and D. V. Paduchikh p. 611  abstract

Properties of the Solution of a Variational Problem Concerning the Motion of a Rigid Body
in a Stokes Fluid

P. I. Plotnikov, V. N. Starovoitov, and B. N. Starovoitova p. 615  abstract

Optimal Boundary Control of a Hyperbolic System of Heat Equations

R. K. Romanovskii and N. G. Churasheva p. 622  abstract

Threshold Stopping Rules for Diffusion Processes and Stefan’s Problem

V. I. Arkin and A. D. Slastnikov p. 626  abstract

Centered Stochastic Shells of Deterministic Systems

V. F. Krotov p. 630  abstract

A Nonlocal Boundary Value Problem for the Lavrent’ev–Bitsadze Equation

E. I. Moiseev and T. N. Likhomanenko p. 635  abstract

Branching Processes with Lattice Spatial Dynamics and a Finite Set
of Particle Generation Centers

S. A. Molchanov and E. B. Yarovaya p. 638  abstract

On the Torsion Problem in Jacobians of Curves of Genus 2 over the Rational Number Field

B. P. Platonov and M. M. Petrunin p. 642  abstract

Representation of Regularized Traces of Operators by Functional Integrals

V. A. Sadovnichii, O. G. Smolyanov, and E. T. Shavgulidze p. 644  abstract

On a Theorem of A. I. Pavlov

G. V. Fedorov p. 648  abstract

Integral Operators on Cones of Monotone Functions

A. Gogatishvili and V. D. Stepanov p. 650  abstract

Exact Stabilization Conditions for the Solutions of the Cauchy Problem
for a Nondivergent Parabolic Equation with Decreasing Lower-Order Coefficients

V. N. Denisov p. 654  abstract

Generalized Solutions of the Wave Equation in the Classes Lp and frame0 with p 1

V. A. Il’in and A. A. Kuleshov p. 657  abstract

On Some New Results Related to Gram’s Law

M. A. Korolev p. 661  abstract

Absolute and Uniform Convergence of Expansions in the Root Vector Functions
of the Dirac Operator

V. M. Kurbanov and A. I. Ismailova p. 663  abstract

Estimates of the Nontangential Maximal Function for Solutions
of a Second-Order Elliptic Equation

A. K. Gushchin p. 667  abstract

Characteristic Boundary Problem for a Hyperbolic Equation
with an Offset Arguments of the Unknown Function

V. I. Zhegalov p. 670  abstract

Dirichlet Problem for the Helmholtz Equation in the Exterior of Open Surfaces
and the Case of Its Explicit Solution

P. A. Krutitskii p. 673  abstract

The Paley–Wiener Theorem in the Language of Taylor Expansion Coefficients

Ha Huy Bang and Vu Nhat Huy p. 677  abstract

Explicit Schemes and Numerical Simulation Using Ultrahigh-Performance Computer Systems

B. N. Chetverushkin and A. V. Gulin p. 681  abstract

A Method for Calculating the Invariant Sets of High-Dimensional Linear Systems
under Uncertainty

A. N. Daryin and A. B. Kurzhanski p. 684  abstract

A Criterion for the Membership in the Class Lp with p1 of the Generalized Solution
to the Mixed Problem for the Wave Equation

V. A. Il’in and A. A. Kuleshov p. 688  abstract

Symmetries Groups of Nice Morse Functions on Surfaces

E. A. Kudryavtseva and A. T. Fomenko p. 691  abstract

Noncompact Lagrangian Manifolds Corresponding to the Spectral Series
of the Schrödinger Operator with Delta-Potential on a Surface of Revolution

T. Ratiu, T. A. Filatova, and A. I. Shafarevich p. 694  abstract

Mathematical Physics

The Liouville Equation, the Hydrodynamic Substitution, and the Hamilton–Jacobi Equation

V. V. Vedenyapin and N. N. Fimin p. 697  abstract

A Bose Condensate in the D-Dimensional Case, in Particular, for D = 2 and 1

V. P. Maslov p. 700  abstract

New Model Ideas in Dynamic Thermoviscoelasticity in the Problem of Thermal Shock

E. M. Kartashov p. 704  abstract

Computer Science

Global Tolerances in the Problems of Combinatorial Optimization
with an Additive Objective Function

V. V. Chistyakov, B. I. Goldengorin, and P. M. Pardalos p. 707  abstract

High-Smoothness Continuations for Fourier Approximations of Nonperiodic Functions

N. N. Kalitkin and R. V. Golovanov p. 711  abstract

Monotone Bicompact Scheme for Quasilinear Hyperbolic Equations

B. V. Rogov p. 715  abstract

Control Theory

Localization of Compact Invariant Sets of Continuous-Time Systems with Disturbance

A. N. Kanatnikov and A. P. Krishchenko p. 720  abstract

Differential Equations of Costas Loop

G. A. Leonov, N. V. Kuznetsov, M. V. Yuldashev, and R. V. Yuldashev p. 723  abstract

Stabilization of a Certain Class of Uniformly Controllable Systems

I. E. Zuber, V. A. Yakubovich†, and A. Kh. Gelig p. 729  abstract

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