Contents
Doklady Mathematics

Vol. 88, No. 1, 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 451, Nos. 1–6, 2013

Volume 88, July–August.

Mathematics

Necessary and Sufficient Condition for the Stabilization of the Solution
to the Initial–Boundary Value Problem for Second-Order Nondivergence Parabolic Equations

Yu. A. Alkhutov and V. N. Denisov p. 381  abstract

Rates of Convergence in Ergodic Theorems for Certain Billiards and Anosov Diffeomorphisms

A. G. Kachurovskii and I. V. Podvigin p. 385  abstract

A Square Bias Transformation of Probability Distributions: Some Properties and Applications

I. G. Shevtsova p. 388  abstract

Classes of Functions of Bounded Variation on Infinite-Dimensional Domains

V. I. Bogachev, A. Yu. Pilipenko, and E. A. Rebrova p. 391  abstract

On Automorphisms of Strongly Regular Graphs
with Parameters (99, 42, 21, 15) and (99, 56, 28, 36)

K. S. Efimov and A. A. Makhnev p. 396  abstract

Minimal Period and Maximal Lyapunov Exponent
of Solutions to Lipschitzian Differential Equations

A. A. Zevin p. 400  abstract

Diffusion and Quantum Dynamics on Graphs

V. Zh. Sakbaev and O. G. Smolyanov p. 404  abstract

On the Accuracy of Approximation of the Complex Exponential by the First Terms
of Its Taylor Expansion and Applications to the Fourier–Stieltjes Transform

I. G. Shevtsova p. 409  abstract

On the Compatibility Conditions and Manifold Solutions
for the Certain Overdetermined Systems of Partial Differential Equations

L. G. Mikhailov and R. Pirov p. 413  abstract

Estimates of the Difference between Approximate Solutions of the Cauchy Problems
for the Parabolic Diffusion Equation and a Hyperbolic Equation with a Small Parameter

S. I. Repin and B. N. Chetverushkin p. 417  abstract

On Nonlocal Sobolev Problems

A. Yu. Savin and B. Yu. Sternin p. 421  abstract

On the Monge–Ampére Equation in a Polynomial Domain

Yu. A. Aminov p. 425  abstract

Reduction of PDO Calculus on a Noncompact Manifold
to a Double-Dimensional Compact Manifold

A. A. Arutyunov and A. S. Mishchenko p. 427  abstract

Limit Theorems and Phase Transitions for Two Models of Summation
of iid Random Variables Depending on Parameters

M. Grabchak and S. A. Molchanov p. 431  abstract

Generalized Quadrangle GQ(4, 16) and Its Extensions

A. A. Makhnev and D. V. Paduchikh p. 435  abstract

Solving the General Quadratic Programming Problem in a Finite Number of Steps

A. A. Tret’yakov and E. E. Tyrtyshnikov p. 438  abstract

Basis Properties of Root Functions of the Sturm–Liouville Problem
with a Spectral Parameter in the Boundary Conditions

Z. S. Aliev and A. A. Dun’yamalieva p. 441  abstract

Mixed Boundary Value Problem for a Class
of Strongly Nonlinear Sobolev-Type Equations of Higher Order

Sh. Amirov and A. I. Kozhanov p. 446  abstract

Markov-Type Inequality and a Lower Bound for the Moduli of Critical Values of Polynomials

V. N. Dubinin p. 449  abstract

Self-Conjugacy Conditions for Matrix Equations of the Stein Type

Kh. D. Ikramov p. 451  abstract

On Strongly Regular Graphs with Eigenvalue 3 and Their Extensions

A. A. Makhnev p. 453  abstract

Generalized Phase Space and Conservative Systems

B. I. Sadovnikov, N. G. Inozemtseva, and E. E. Perepelkin p. 457  abstract

Poincaré Inequality for C-Smooth Vector Fields

S. G. Basalaev p. 460  abstract

Time-Optimal Control of a Small Mass Point without Environmental Resistance

A. R. Danilin and O. O. Kovrizhnykh p. 465  abstract

On Graphs Whose Local Subgraphs Are Strongly Regular with Parameters (115, 18, 1, 3)

A. A. Makhnev p. 468  abstract

Van der Waerden Function and Colorings of Hypergraphs with Large Girth

D. A. Shabanov p. 473  abstract

Sharp Jackson–Stechkin Type Inequalities
for Periodic Functions in L₂ and Widths of Function Classes

M. Sh. Shabozov, S. B. Vakarchuk, and V. I. Zabutnaya p. 478  abstract

Mathematical Physics

A Tropical Analogue of the Pauli Problem and a Splitting of Quasithermodynamics

Artur E. Ruuge p. 482  abstract

Computer Science

New Multicriterial Decision Rules in Criteria Importance Theory

V. V. Podinovski and O. V. Podinovskaya p. 486  abstract

Improved Forms of Iterative Methods for Systems of Linear Algebraic Equations

N. N. Kalitkin and L. V. Kuz’mina p. 489  abstract

Smoothed Gradients Criterion for Image Quality Assessment

N. N. Kalitkin and R. V. Golovanov p. 495  abstract

Control Theory

A Differential Realization of an Input–Output Autonomous Nonlinear System
of Minimal Dynamic Order in a Hilbert Space

V. A. Rusanov, A. V. Lakeev, and Yu. . Linke p. 499  abstract

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