Contents
Doklady Mathematics


Vol. 91, No. 1, 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 460, Nos. 1–6, 2015


Volume 91, January–February.

Mathematics

A Regularized Trace Formula for a Well-Perturbed Laplace Operator

B. E. Kanguzhin and N. E. Tokmagambetov p. 1  abstract

Lyapunov Functions in Estimates of Attractor Dimensions for Generalized Rössler Systems

G. A. Leonov and T. A. Alexeeva p. 5  abstract

Dijkgraaf–Witten Invariants over frame02 for 3-Manifolds

S. V. Matveev and V. G. Turaev p. 9  abstract

Automorphisms of a Strongly Regular Graph with Parameters (392, 115, 18, 40)

A. A. Makhnev and D. N. Ponomarev p. 12  abstract

Asymptotics of Solutions of Emden–Fowler-Type Equations

V. S. Samovol p. 16  abstract

Order Properties of the Set of Banach Limits

E. A. Alekhno, E. M. Semenov, F. A. Sukochev, and A. S. Usachev p. 20  abstract

On Some Properties of a Class of Degenerate Pseudodifferential Operators

A. D. Baev and P. A. Kobylinskii p. 23  abstract

Fokker–Planck–Kolmogorov Equations with a Potential Term on a Domain

O. A. Manita and S. V. Shaposhnikov p. 26  abstract

Solution Continuation and Homogenization of a Boundary Value Problem for the p-Laplacian
in a Perforated Domain with a Nonlinear Third Boundary Condition on the Boundary of Holes

A. V. Podol’skii p. 30  abstract

A Fast Decaying Solution to the Modified Novikov–Veselov Equation
with a One-Point Singularity

I. A. Taimanov p. 35  abstract

On Automorphisms of a Distance-Regular Graph with Intersection Array {15, 12, 1; 1, 4, 15}

V. P. Burichenko and A. A. Makhnev p. 37  abstract

The Dirichlet Problem for the Lavrent’ev–Bitsadze Equation with Two Type-Change Lines
in a Rectangular Domain

A. A. Gimaltdinova p. 41  abstract

Stabilization of the Solution of the Cauchy Problem for a Parabolic Equation
with Bounded Coefficients Multiplying the Solution Gradient

V. N. Denisov p. 47  abstract

Normality Conditions for Linear Matrix Operators of the Stein Type

Kh. D. Ikramov p. 50  abstract

The Simplest Families of Polytopes Associated with NP-Hard Problems

A. N. Maksimenko p. 53  abstract

The Spectral Method and the Central Limit Theorem for General Markov Chains

S. V. Nagaev p. 56  abstract

Exponential Convergence of Multi-Dimensional Stochastic Mechanical Systems
with Switching Impacts

S. V. Anulova and A. Yu. Veretennikov p. 60  abstract

Finite Eigenvalue Assignment for a Descriptor System

N. E. Zubov, E. A. Mikrin, M. Sh. Misrikhanov, and V. N. Ryabchenko p. 64  abstract

Hamiltonian Structures in the Quantum Theory of Hamilton–Dirac Systems

T. S. Ratiu and O. G. Smolyanov p. 68  abstract

Polynomials on Spaces with Logarithmically Concave Measures

L. M. Arutyunyan and E. D. Kosov p. 72  abstract

Differentiability of Invariant Measures of Diffusions with Respect to a Parameter

V. I. Bogachev, A. Yu. Veretennikov, and S. V. Shaposhnikov p. 76  abstract

On Graphs with in Strongly Regular Local Subgraphs Having Parameters (88, 27, 6, 9)

K. S. Efimov and A. A. Makhnev p. 80  abstract

Classification of Couplings for Transitive Lie Algebroids

Xiaoyu Li and A. S. Mishchenko p. 84  abstract

A Generalization of Hurwitz’ Theorem for Groups Acting on a Graph

A. D. Mednykh, I. A. Mednykh, and R. Nedela p. 87  abstract

Lower Bounds for the Kantorovich Distance

V. I. Bogachev and A. V. Shaposhnikov p. 91  abstract

Nonpercolation Boundary Problem for the Stationary Stokes System

Yu. A. Dubinskii p. 94  abstract

The Generalized Solution of the System of Quasilinear Equations

E. A. Kolpakova and N. N. Subbotina p. 98  abstract

Large Values of the Riemann Zeta-Function on Short Intervals of the Critical Line

M. A. Korolev p. 102  abstract

New Class of Special Functions Based on the Exact Solution
of a Nonlinear Partial Differential Equation of Divergence Type

B. I. Sadovnikov, E. E. Perepelkin, and N. G. Inozemtseva p. 105  abstract

Legendre and Weierstrass Conditions and the Lower Semicontinuity of Integral Functionals

M. A. Sychev p. 108  abstract


Mathematical Physics

Combined Method for the Numerical Solution
of Dynamic Three-Dimensional Elastoplastic Problems

I. B. Petrov, A. V. Favorskaya, A. V. Shevtsov, A. V. Vasyukov,
A. P. Potapov, and A. S. Ermakov
p. 111  abstract

Wigner Quantization of Hamilton–Dirac Systems

T. S. Ratiu and O. G. Smolyanov p. 114  abstract


Computer Science

On the Reducibility of Alphabets for Problems of Underdetermined Data Coding

L. A. Sholomov p. 117  abstract


Control Theory

Reduction, Exact Solutions, and Control Design for a Certain Nonlinear System of Parabolic Type

A. A. Kosov and E. I. Semenov p. 121  abstract

Some Computational Aspects of Simultaneous Stabilization Problems

A. V. Il’in, A. V. Mal’tseva, and A. S. Fursov p. 125  abstract


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