Contents
Doklady Mathematics

Vol. 83, No. 1, 2011

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 436, Nos. 1–6, 2011

Volume 83, January–February.

Mathematics

On Graphs in Which the Intersection of Neighborhoods of Vertices
from Every 3-Coclique Is a Clique

A. L. Gavrilyuk and A. A. Makhnev p. 1  abstract

Convergence of Spectral Decompositions of Hill Operators
with Trigonometric Polynomial Potentials

P. B. Djakov and B. S. Mityagin p. 5  abstract

Zero-One Laws for First-Order Formulas with a Bounded Quantifier Depth

M. E. Zhukovskii p. 8  abstract

Family of Finite-Difference Schemes with Transparent Boundary Conditions
for the Nonstationary Schrödinger Equation in a Semi-Infinite Strip

A. A. Zlotnik and I. A. Zlotnik p. 12  abstract

On the Bound of Proximity of the Binomial Distribution to the Normal One

S. V. Nagaev and V. I. Chebotarev p. 19  abstract

The Problem of Integral Geometry with Perturbation on Elliptic Curves in a Strip

Akb. H. Begmatov and N. N. Petrova p. 22  abstract

Front Transitions of Interior Scattering

I. A. Bogaevskii p. 26  abstract

Solvability of the Dirichlet Problem for the General Second-Order Elliptic Equation

V. Zh. Dumanyan p. 30  abstract

Averaging of Boundary-Value Problem in Domain Perforated along (n – 1)-Dimensional
Manifold with Nonlinear Third Type Boundary Conditions on the Boundary of Cavities

M. Lobo, M. E. Perez, V. V. Sukharev, and T. A. Shaposhnikova p. 34  abstract

Limit Theorems in the Theory of Discrete Periodic Splines

V. N. Malozemov and N. V. Chashnikov p. 39  abstract

Jacobi Bracket, Differential Identities, and the Inverse Problem for Kinetic Equations

M. V. Neshchadim p. 41  abstract

Two Types of Surface Measures on Trajectories in Riemannian Submanifolds of Euclidean Spaces

O. G. Smolyanov, H. von Weizsäcker, and O. Wittich p. 45  abstract

Self-Consistent Mappings and Systems of Interacting Particles

M. L. Blank p. 49  abstract

On Fractional Moments of Random Variables

R. N. Boyarinov p. 53  abstract

Singular Solitons and Indefinite Metrics

P. G. Grinevich and S. P. Novikov p. 56  abstract

Some Analogues of the Borsuk Problem in Θⁿ

E. I. Ponomarenko and A. M. Raigorodskii p. 59  abstract

The Spectrum of Weighted Laplace Operator in Unbounded Domains

A. V. Filinovskii p. 63  abstract

On Two-Colorings of Hypergraphs

D. D. Cherkashin and A. B. Kulikov p. 68  abstract

Basis Properties of Eigenfunctions of a Generalized Gasdynamic Frankl Problem

E. I. Moiseev and N. Abbasi p. 72  abstract

On the Index of Elliptic Translators

A. Yu. Savin and B. Yu. Sternin p. 76  abstract

Homogeneous Spectrum and Mixing Transformations

S. V. Tikhonov p. 80  abstract

Real Periodicity Theorem for Division Codes

V. P. Filimonov p. 84  abstract

Estimates for Widths of Classes of Periodic Multivariable Functions

D. B. Bazarkhanov p. 90  abstract

A Criterion for the Basis Property of Perturbed Exponential Systems
in Lebesgue Spaces with Variable Exponent

B. T. Bilalov and Z. G. Guseinov p. 93  abstract

Martingale Summation According to Voronoy and Riesz

V. M. Kruglov p. 97  abstract

On the Stability of a Set of Systems of Impulsive Equations

A. A. Martynyuk p. 100  abstract

Integration of Functions rd-Continuous on Time Scales

Yu. V. Pokornyi and Zh. I. Bakhtina p. 104  abstract

Bernoulli Law under Minimal Smoothness Assumptions

M. V. Korobkov p. 107  abstract

Spectral Analysis of a Class of Schrödinger Difference Operators

Ag. Kh. Khanmamedov and G. M. Masmaliev p. 111  abstract

Mathematical Physics

On the Use of Direct Variational Methods in Applications

V. V. Ternovskii and M. M. Khapaev p. 113  abstract

Strong Instability of the Minima Spectrum of a Quadratic Binary Functional

Ya. M. Karandashev, B. V. Kryzhanovsky, and L. B. Litinskii p. 116  abstract

Computer Science

Monotone Bicompact Schemes for a Linear Advection Equation

B. V. Rogov and M. N. Mikhailovskaya p. 121  abstract

Control Theory

Optimal Model Matching Problem for Stochastic Signals
with an Unknown Fast Decreasing Spectral Density

A. V. Proskurnikov and V. A. Yakubovich p. 126  abstract

R.V. Gamkrelidze’s Maximum Principle for Optimal Control Problems
with Bounded Phase Coordinates and Its Relation to Other Optimality Conditions

A. V. Arutyunov, D. Yu. Karamzin, and F. Pereira p. 131  abstract

A Mathematical Model for the Angular Motion of Large Space Structures
with Gyroscopic Drive for an Active Compensation of Elastic Oscillations

A. S. Ermilov and T. V. Ermilova p. 136  abstract

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