Contents
Doklady Mathematics

Vol. 92, No. 2, 2015

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 464, Nos. 1–6, 2015

Volume 92, September–October.

Mathematics

A Problem of Integral Geometry for a Family of Curves with Incomplete Data

D. S. Anikonov and D. S. Konovalova p. 521  abstract

Index Sets of Autostable Relative to Strong Constructivizations Constructive Models
for Familiar Classes

S. S. Goncharov, N. A. Bazhenov, and M. I. Marchuk p. 525  abstract

Solution of the Radiative Transfer Equation on Parallel Computer Systems

B. N. Chetverushkin, O. G. Olkhovskaya, and V. A. Gasilov p. 528  abstract

Isomorphisms of Sobolev Spaces on Carnot Groups and Metric Properties of Mappings

S. K. Vodop’yanov and N. A. Evseev p. 532  abstract

Isoperimetric Inequalities on Weighted Manifolds with Boundary

A. V. Kolesnikov and E. Milman p. 537  abstract

An Asymptotic Expansion of the Fundamental Solution
for a Parabolic Equation and Inverse Problems

V. G. Romanov p. 541  abstract

On Optimal Banach Spaces Containing a Weighted Cone of Monotone
or Quasi-Concave Functions

V. D. Stepanov p. 545  abstract

New Representations of the Maslov Canonical Operator
and Localized Asymptotic Solutions for Strictly Hyperbolic Systems

A. I. Allilueva, S. Yu. Dobrokhotov, S. A. Sergeev, and A. I. Shafarevich p. 548  abstract

On Quasipotential Operators and Hamiltonian-Admissible Equations
in the Mechanics of Infinite-Dimensional Systems

S. A. Budochkina and V. M. Savchin p. 554  abstract

On the Stability Property of Asymptotic Laws of Ergodic Theory
and Universal Compression Schemes

V. V. V’yugin p. 556  abstract

Postclassical Families of Functions Proper to Descriptive and Prescriptive Spaces

V. K. Zakharov, A. V. Mikhalev, and T. V. Rodionov p. 559  abstract

Cascade of Bifurcations in Lorenz-Like Systems: Birth of a Strange Attractor,
Blue Sky Catastrophe Bifurcation, and Nine Homoclinic Bifurcations

G. A. Leonov p. 563  abstract

Distance Regular Graphs in Which Local Subgraphs Are Strongly Regular Graphs
with the Second Eigenvalue at Most 3

A. A. Makhnev and D. V. Paduchikh p. 568  abstract

A New Monte Carlo Algorithm for Estimating the Angular Distribution
of Scattered Polarized Radiation Based on Orthogonal Expansion

G. A. Mikhailov, N. V. Tracheva, and S. A. Ukhinov p. 572  abstract

Classifying Pairs of Commuting Toeplitz and Hankel Matrices

V. N. Chugunov and Kh. D. Ikramov p. 577  abstract

Local Dynamics of an Equation with a Large State-Dependent Delay

I. S. Kashchenko and S. A. Kashchenko p. 581  abstract

On the Solvability of Certain Discrete Equations and Related Estimates of Discrete Operators

A. V. Vasil’ev and V. B. Vasil’ev p. 585  abstract

Spectral Analysis of Hyperbolic Volterra Integro-Differential Equations

V. V. Vlasov and N. A. Rautian p. 590  abstract

Mathematical Models of the Costas Loop

G. A. Leonov, N. V. Kuznetsov, M. V. Yuldashev, and R. V. Yuldashev p. 594  abstract

Serial Classification of Fragments of Words

V. K. Leont’ev p. 599  abstract

On the Boundedness of a Class of Sublinear Operators

D. V. Prokhorov p. 602  abstract

On a Form of the System of Porous Media Flow Equations Convenient
for the Construction of Parallel Algorithms

Yu. G. Rykov p. 606  abstract

Mathematical Physics

Electromagnetic Wave Propagation in a Nonstationary Medium

G. Ya. Krasnikov, N. V. Chernyaev, and I. V. Matyushkin p. 609  abstract

Nonlinear Oscillators with “Modulus” Potentials: Dynamic and Stochastic Solutions

O. V. Rudenko p. 614  abstract

Predictor–Corrector Algorithm for the Numerical Solution
of the Magnetic Field Equation in Viscous Incompressible MHD Problems

V. B. Betelin, V. A. Galkin, and A. V. Gorelikov p. 618  abstract

Asymptotic Solutions of Boundary Value Problems of Two-Dimensional Transport Models
for a Ternary Electrolyte

A. V. Kovalenko, A. A. Khromykh, and M. Kh. Urtenov p. 622  abstract

A New Approach to Boltzmann’s Ergodic Hypothesis

A. A. Lykov and V. A. Malyshev p. 624  abstract

Computer Science

Control of the Phase Boundary Evolution in Solidification

A. F. Albu p. 627  abstract

Application of the Fast Fourier Transform to Calculating Pruned Convolution

P. A. Mikheev p. 630  abstract

NP-Hardness of Some Quadratic Euclidean 2-clustering Problems

A. V. Kel’manov and A. V. Pyatkin p. 634  abstract

Control Theory

Anisotropy-Based Multicriteria Time-Varying Filtering on Finite Horizon

V. N. Timin and A. P. Kurdyukov p. 638  abstract

A Moving Object and Observers

V. I. Berdyshev p. 643  abstract

The Covering Method for the Solution of Terminal Control Problems

A. P. Krishchenko and V. N. Chetverikov p. 646  abstract

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