Contents
Doklady Mathematics

Vol. 88, No. 2, 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 452, Nos. 1–6, 2013

Volume 88, September–October.

Mathematics

Estimates of Kolmogorov’s -Entropy for Compact Sets
of Infinitely Differentiable Aperiodic Functions (Babenko’s Problem)

V. N. Belykh p. 503  abstract

Kinetic Method for Solving Systems of Differential Equations

V. A. Galkin p. 508  abstract

A New Family of Polynomial Identities for Computing Determinants

G. P. Egorychev p. 510  abstract

Role of the Memory in Convergence to Invariant Gibbs Measure

A. A. Lykov and V. A. Malyshev p. 513  abstract

Combinatorial and Geometric Properties of the Max-Cut and Min-Cut Problems

V. A. Bondarenko and A. V. Nikolaev p. 516  abstract

Fractional Order Sobolev Classes on Infinite-Dimensional Spaces

E. V. Nikitin p. 518  abstract

pth-Order Optimality Conditions in Singular Calculus of Variations:
Elements of p-Regularity Theory

A. A. Tret’yakov p. 524  abstract

The Upper Limit Value of the Divisor Function with Growing Dimension

G. V. Fedorov p. 529  abstract

On Distance-Regular Graphs in Which Neighborhoods of Vertices Are Strongly Regular

A. L. Gavrilyuk, A. A. Makhnev, and D. V. Paduchikh p. 532  abstract

Classification of the Family of Kovalevskaya–Yehia Systems up to Liouville Equivalence

N. S. Slavina p. 537  abstract

Feynman Formulas for Stochastic and Quantum Dynamics of Particles
in Multidimensional Domains

O. G. Smolyanov and D. S. Tolstyga p. 541  abstract

On Quasiregular Spectrum of Matrix Pencils

N. F. Valeev p. 545  abstract

On Graphs Whose Local Subgraphs Are Strongly Regular with Parameters (162, 21, 0, 3)

M. M. Isakova and A. A. Makhnev p. 548  abstract

Maslov–Heaviside Operator Method and C₀-Operator Duhamel Integral

V. A. Kostin, A. V. Kostin, and D. V. Kostin p. 552  abstract

An Almost Classification of Free Knots

V. O. Manturov p. 556  abstract

Method for Solving Constrained Multicriteria Optimization Problems with Guaranteed Accuracy

M. A. Posypkin p. 559  abstract

Liouville-Type Theorem on Conformal Mappings under Minimal Smoothness Assumptions
for the Example of a Step 3 Carnot Group

D. V. Isangulova p. 562  abstract

On Extremal Behavior of Gaussian Chaos

D. A. Korshunov, V. I. Piterbarg, and E. Hashorva p. 566  abstract

Multidimensional Analogue of the Laurent Series Expansion
of a Holomorphic Function and Related Issues

L. S. Maergoiz p. 569  abstract

Extremum Problems in the Presence of Restrictions in the Metric Space

M. A. Sadygov p. 573  abstract

Auxiliary Equilibria for Differential and Static Games

E. R. Smol’yakov p. 577  abstract

On Almost Distance-Transitive Graphs

Wenbin Guo, A. A. Makhnev, and D. V. Paduchikh p. 581  abstract

On the Acceleration of an Algorithm for Polynomial Factorization

A. N. Malyshev p. 586  abstract

Mathematical Physics

Asymptotically Homogeneous Solutions of Differential Equations Whose Symbols
are Polynomials Quasi-Homogeneous with Respect to One-Parameter Groups
with Generators Containing a Nilpotent Component

Yu. N. Drozhzhinov and B. I. Zav’yalov^† p. 590  abstract

Exact Solution in the Form of a Shock Wave for the Maxwell and Gravitomagnetism Equations

B. I. Sadovnikov, N. G. Inozemtseva, and E. E. Perepelkin p. 593  abstract

Computer Science

Analogue of the Richardson Method for Logarithmically Converging Time Marching

N. N. Kalitkin and A. A. Belov p. 596  abstract

Guaranteed Accuracy for the Cauchy Problem Solved Using the Arc Length Method

N. N. Kalitkin and I. P. Poshivaylo p. 601  abstract

Control Theory

Birth of the Shape of a Reachable Set

E. V. Goncharova and A. I. Ovseevich p. 605  abstract

Terminal Problem for Multidimensional Affine Systems

A. P. Krishchenko and D. A. Fetisov p. 608  abstract

Asymptotically Optimal Feedback Control for a System of Linear Oscillators

A. I. Ovseevich and A. K. Fedorov p. 613  abstract

Providing the Invariance Property on the Basis on Oscillation Modes

S. A. Kochetkov and V. A. Utkin p. 618  abstract

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