Contents
Doklady Mathematics


Vol. 83, No. 3, 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 438, Nos. 1–6, 2011


Volume 83, May–June.

Mathematics

Underdetermination in an Integral Geometry Problem

D. S. Anikonov and D. S. Konovalova p. 283  abstract

A Generalization of the Pólya–Szegö Inequality for One-Dimensional Functionals

S. V. Bankevich and A. I. Nazarov p. 287  abstract

On the Value Distribution of the Riemann Zeta-Function

R. N. Boyarinov p. 290  abstract

Coercive Estimates and Integral Representation Formulas on Carnot Groups

S. K. Vodopyanov and D. V. Isangulova p. 293  abstract

Functions with Vanishing Integrals over Spheres Centered on Cones

V. V. Volchkov and Vit. V. Volchkov p. 298  abstract

Generalizations of the Borg Uniqueness Theorem to the Case
of Nonseparated Boundary Conditions

V. A. Sadovnichii, Ya. T. Sultanaev, and A. M. Akhtyamov p. 302  abstract

Characterization of Ergodicity of p-Adic Dynamical Systems by Using the van der Put Basis

V. S. Anashin, A. Yu. Khrennikov, and E. I. Yurova p. 306  abstract

On Probability and Integrable Solutions to the Stationary Kolmogorov Equation

V. I. Bogachev, A. I. Kirillov, and S. V. Shaposhnikov p. 309  abstract

Omega-Theorems in the Theory of the Riemann Zeta Function

R. N. Boyarinov p. 314  abstract

Inverse Problems with Final Overdetermination for Parabolic Equations
with Unknown Coefficients Multiplying the Highest Derivative

N. L. Gol’dman p. 316  abstract

Uniqueness of Polyhedral Domains and p-Moduli of Path Families

A. P. Kopylov p. 321  abstract

Multiple Eigenvalues of a One-Dimensional Quasilinear Problem

D. P. Kostomarov and E. A. Sheina p. 324  abstract

Systems with Periodic Nonlinearities

A. M. Krasnosel’skii p. 328  abstract

A Condition for the Positivity of the Density of an Invariant Measure

B. V. Agafontsev, V. I. Bogachev, and S. V. Shaposhnikov p. 332  abstract

Hardy–Littlewood–Paley Inequality and Recovery of Derivatives from Inaccurate Data

G. G. Magaril-Il’yaev and K. Yu. Osipenko p. 337  abstract

On Graphs in Which the Hoffman Bound for Cocliques Equals the Cvetcovich Bound

A. A. Makhnev p. 340  abstract

Gromov Hyperbolic Discrete Spaces and Their Application to Extension
of Classes of Mappings

D. A. Trotsenko p. 344  abstract

Local Expansions of Solutions to the Fifth Painlevé Equation

A. D. Bruno and A. V. Parusnikova p. 348  abstract

An Index Formula for Nonlocal Operators Corresponding to a Diffeomorphism of a Manifold

A. Yu. Savin and B. Yu. Sternin p. 353  abstract

Inverse Problem Method in Optimal Control

V. V. Ternovskii and M. M. Khapaev p. 357  abstract

Description of Water Wave Dynamics Based on Differential Inclusions

R. V. Shamin p. 361  abstract

Integral Representations of Analytic and Harmonic Functions

I. I. Bavrin p. 364  abstract

Sobolev Embedding Theorem for Anisotropically Irregular Domains

O. V. Besov p. 367  abstract

On Quadrilateral Orbits in Planar Billiards

A. A. Glutsyuk and Yu. G. Kudryashov p. 371  abstract

Quasioptimality of Skeleton Approximation of a Matrix in the Chebyshev Norm

S. A. Goreinov and E. E. Tyrtyshnikov p. 374  abstract

Graphs in Which the Neighborhoods of Vertices are Pseudogeometric Graphs for GQ(3, 5)

A. K. Gutnova and A. A. Makhnev p. 376  abstract

On the Unique Solvability of the Matrix Equation AX + XTB = C in the Singular Case

Kh. D. Ikramov and Yu. O. Vorontsov p. 380  abstract

Linear Chaotic Systems in Generalized Fock–Bargmann Spaces

V. E. Kim and V. V. Napalkov p. 384  abstract

Dual Representation of the Mean Square of the Monte Carlo Vector Estimator

G. A. Mikhailov and S. A. Ukhinov p. 386  abstract

Feynman–Kac and Feynman Formulas for Infinite-Dimensional Equations
with Vladimirov Operator

O. G. Smolyanov, N. N. Shamarov, and M. Kpekpassi p. 389  abstract

The Navier–Stokes Equations: Existence Theorems and Energy Equalities

V. V. Zhikov and S. E. Pastukhova p. 394  abstract

Exterior Polymetric Algebras

N. G. Marchuk p. 400  abstract

Pseudogeometric Graph for pG4(8, 175)

A. A. Makhnev p. 404  abstract


Mathematical Physics

Dynamics of an Equation with a Large Spatially Distributed Control Parameter

I. S. Kashchenko and S. A. Kashchenko p. 408  abstract


Computer Science

Discretization of a Matrix in Quadratic Functional Binary Optimization

B. V. Kryzhanovsky, M. V. Kryzhanovsky, and M. Yu. Malsagov p. 413  abstract

Pareto Set Reduction Based on an Arbitrary Finite Collection of Numerical Information
on the Preference Relation

V. D. Noghin and O. V. Baskov p. 418  abstract


Control Theory

Foundations of the Theory of Conflict Problems with Partially Overlapping Interests

E. R. Smol’yakov p. 421  abstract

Control of Vibrations of Membranes and Plates by Boundary Forces

I. V. Romanov and A. S. Shamaev p. 425  abstract

A Characteristic Feature of Realizability of Nonstationary Differential Systems in Banach Spaces

V. A. Rusanov, A. V. Lakeev, and Yu. E. Linke p. 430  abstract

Localization of Compact Invariant Sets of Discrete-Time Systems with Disturbances

A. N. Kanatnikov, S. K. Korovin, and A. P. Krishchenko p. 433  abstract


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