Contents
Doklady Mathematics


Vol. 90, No. 2, 2014

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 458, Nos. 1–6, 2014


Volume 90, September–October.

Mathematics

Automorphisms of a Graph with Intersection Array {99, 84, 1; 1, 14, 99}

P. S. Ageev and A. A. Makhnev p. 525  abstract

A System of Elliptic Equations for Probability Measures

A. I. Noarov p. 529  abstract

Zero-One Laws for Random Distance Graphs with Vertices in {0, 1}n

S. N. Popova p. 535  abstract

Web of Families of Periodic Orbits of the Generalized Hill Problem

A. B. Batkhin p. 539  abstract

Resolvent Approach in the Fourier Method

M. Sh. Burlutskaya and A. P. Khromov p. 545  abstract

Numerical Solution of Integral Equations for a Scalar Diffraction Problem

A. A. Kashirin and S. I. Smagin p. 549  abstract

The Schur Form for Nonderogatory Matrices

Yu. R. Nesterenko p. 553  abstract

On the Riesz Basis Property of the Root Vector System for Dirac-Type 2 infinity 2 Systems

A. A. Lunyov and M. M. Malamud p. 556  abstract

On the Existence and Uniqueness of an R-Generalized Solution of a Boundary Value Problem
with Uncoordinated Degeneration of the Input Data

V. A. Rukavishnikov p. 562  abstract

A Generalization of Borg’s Uniqueness Theorems for a Symmetric Potential
to General Boundary Conditions

V. A. Sadovnichii, Ya. T. Sultanaev, and A. M. Akhtyamov p. 565  abstract

Weight Boundedness of a Class of Quasilinear Operators on the Cone of Monotone Functions

V. D. Stepanov and G. E. Shambilova p. 569  abstract

The First Boundary Value Problem for Parabolic Systems in Plane Domains
with Nonsmooth Lateral Boundaries

E. A. Baderko and M. F. Cherepova p. 573  abstract

One-Phase Inverse Stefan Problem with an Unknown Distributed Convection Coefficient

N. L. Gol’dman p. 576  abstract

The Multiple de la Vallée-Poussin Problem on Convex Domains
in the Kernel of the Convolution Operator

K. R. Zimens and V. V. Napalkov p. 581  abstract

On the Stability of a Plane Flow Vortex

O. V. Troshkin p. 584  abstract

A Version of the Law of Iterated Logarithm for Sums
of Dependent Multi-Indexed Random Variables

A. P. Shashkin p. 589  abstract

The Best Approximation of the Differentiation Operator by Linear
Bounded Operators in the Space L2 on the Semiaxis

V. V. Arestov and M. A. Filatova p. 592  abstract

On Functions on the Sphere with Zero Integrals over Geodesics

V. V. Volchkov, Vit. V. Volchkov, and I. M. Savost’yanova p. 596  abstract

Optimal Calderon Space for Bessel Potentials

M. L. Goldman and D. Haroske p. 599  abstract

A Bernoulli Scheme with Abstract Probabilities

V. M. Maximov p. 603  abstract

Distance-Regular Locally Pseudo-GQ(5, 3)-Graphs

A. A. Makhnev, D. V. Paduchikh, and M. M. Khamgokova p. 607  abstract

On the Basicity of Trigonometric Systems with a Linear Phase
in a Weighted Sobolev Space

T. R. Muradov and V. F. Salmanov p. 611  abstract

Stieltjes Differential in Nonlinear Momentum Problems

A. D. Baev, M. B. Zvereva, and S. A. Shabrov p. 613  abstract

Tikhonov’s Theorem on Passage to the Limit and Pseudoholomorphic Solutions
of Singularly Perturbed Problems

V. I. Kachalov p. 616  abstract

A New Effective Algorithm for Constructing a Separating Hyperplane

A. A. Luk’yanitsa and F. S. Zaitsev p. 619  abstract


Mathematical Physics

Fluctuations of Gibbs Ensembles

V. V. Kozlov p. 622  abstract

On Connection between Symmetries of Functionals and Equations

V. M. Savchin and S. A. Budochkina p. 626  abstract

Coordinate Uncertainty Principle in a Generalized Phase Space

B. I. Sadovnikov, E. E. Perepelkin, and N. G. Inozemtseva p. 628  abstract

Nonintegrability and Obstructions to the Hamiltonianization
of a Nonholonomic Chaplygin Top

I. A. Bizyaev p. 631  abstract

Decomposition of the Two-Dimensional Nernst–Planck–Poisson Equations
for a Ternary Electrolyte

A. V. Kovalenko, A. A. Khromykh, and M. Kh. Urtenov p. 635  abstract

Structure of the Spectrum of a Net of Quantum Waveguides and Bounded Solutions
of a Model Problem at the Threshold

S. A. Nazarov p. 637  abstract


Computer Science

On the Choice of the Time Step and the Probability of Collision in Numerical Statistical
Modeling of Particle Transfer with an Acceleration by an External Force Field

G. A. Mikhailov and G. Z. Lotova p. 642  abstract


Control Theory

On External and Internal Approximations for Reachability Sets of Bilinear Systems

V. V. Sinyakov p. 646  abstract

Central Fields of Optimal Trajectories

E. N. Orel and O. E. Orel p. 651  abstract

Frequency-Domain Criterion for the Absolute Stability of Nonlinear Systems

G. A. Leonov p. 654  abstract


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