Contents
Doklady Mathematics


Vol. 78, No. 2, 2008

English language translation of the journal is available from Pleiades Publishing, Ltd.
Distributed worldwide by Springer. Doklady Mathematics ISSN 1064–5624.

Translated from Doklady Akademii Nauk, Volume 422, Nos. 1–6, 2008


Volume 78, September–October.

Mathematics

Irrotational and Solenoidal Fields in the Spaces frame0

I. A. Borovikov p. 647  abstract

Necessary and Sufficient Conditions for the Boundedness of Genuine Singular
Integral Operators in Local Morrey-Type Spaces

V. I. Burenkov, V. S. Guliev, T. V. Tararykova, and A. Serbetci p. 651  abstract

An Area Formula for C1-Smooth Contact Mappings of Carnot Manifolds

S. K. Vodop’yanov and M. B. Karmanova p. 655  abstract

On Disconnected Unbounded Sets of Forced Oscillations

A. M. Krasnosel’skii and D. I. Rachinskii p. 660  abstract

Covers of the Higman–Sims Graph and Their Automorphisms

A.A. Makhnev and D.V. Paduchikh p. 665  abstract

Sets of Vector Fields with Various Shadowing Properties of Pseudotrajectories

S. Yu. Pilyugin and S. B. Tikhomirov p. 669  abstract

The Motion of a Solid Body in a Viscous Incompressible Fluid under the Action
of External and Hydrodynamic Forces and Momenta

E. G. Shifrin p. 671  abstract

High-Precision Calculation of the Eigenvalues of the Laplace Operator

S. D. Algazin p. 675  abstract

Inverse Problems for the Cauchy Integral Formula and the Cauchy
Integral Derivative Formulas

I. I. Bavrin p. 679  abstract

Boutroux Asymptotic Forms of Solutions to Painlevé Equations and Power Geometry

A. D. Bruno and I. V. Goryuchkina p. 681  abstract

Time Averages and Boltzmann Extremals

V. V. Vedenyapin p. 686  abstract

Time Averaging of Global Attractors for Nonautonomous Wave Equations
with Singularly Oscillating External Forces

M. I. Vishik, V. Pata, and V. V. Chepyzhov p. 689  abstract

A Base of the Free Alternative Superalgebra on One Odd Generator

N. M. Zhukavets and I. P. Shestakov p. 693  abstract

New Results Concerning a Singular Integral Operator and Riemann–Hilbert
Boundary Value Problems

G. M. Magomedov and A. M. Nurmagomedov p. 696  abstract

Banach Spaces of Fractal Functions and Trajectories of Brownian Motions

A. N. Agadzhanov p. 699  abstract

The Energy Function for Gradient-Like Diffeomorphisms on 3-Manifolds

V. Z. Grines, F. Laudenbach, and O. V. Pochinka p. 702  abstract

Andronov–Hopf Bifurcation in Systems with Preisach Operator

A. A. Zhezherun, N. A. Kuznetsov, and D. I. Rachinskii p. 705  abstract

A Method of A Priori Estimates for Linear and Nonlinear
Riemann Boundary Value Problems

G. M. Magomedov and A. M. Nurmagomedov p. 710  abstract

Parametrization of the Discriminant Locus for the General Polynomial Transform of frame1n

I. A. Antipova p. 713  abstract

Asymptotics of Hermite–Padé Approximants for Two Functions with Branch Points

A. I. Aptekarev p. 717  abstract

Transformations of Measures by Gauss Maps

V. I. Bogachev and A. V. Kolesnikov p. 720  abstract

On Henselian Rationality of Extensions

Yu. L. Ershov p. 724  abstract

Singular Initial Value Problem for a System of Ordinary Differential Equations
with a Small Parameter

A. M. Il’in and O. Yu. Khachai p. 729  abstract

Operator Integration with an Involution in the Upper Limit of Integration

V. V. Kornev and A. P. Khromov p. 733  abstract

Sub-Riemannian Geometry for Vector Fields of Minimal Smoothness

S. K. Vodop’yanov and M. B. Karmanova p. 737  abstract

Geodesic Graphs with Homogeneity Conditions

A. L. Gavrilyuk and A. A. Makhnev p. 743  abstract

Unique Determination of Domains by the Condition of Local Isometry
of Boundaries in the Relative Metrics

A. P. Kopylov p. 746  abstract

Conditions for the Absolute and Uniform Convergence of the Biorthogonal
Series Corresponding to a Differential Operator

V. M. Kurbanov p. 748  abstract

Contact Linearization of Monge–Ampére Equations and Laplace Invariants

A. G. Kushner p. 751  abstract

Fejer Processes with Diminishing Disturbances

E. A. Nurminski p. 755  abstract

Addition Theorems and Superintegrable Systems

A. V. Tsyganov p. 759  abstract

On General Boundary Value Problems on a Half-Space
for Higher-Order Degenerate Elliptic Equations

A. D. Baev p. 763  abstract

Asymptotic Forms of Solutions to the Third Painlevé Equation

A. D. Bruno and I. V. Goryuchkina p. 765  abstract

The Cauchy Problem for a Quasilinear Parabolic Equation with Two Small Parameters

S. V. Zakharov p. 769  abstract

On Graphs in Which the Neighborhood of Each Vertex Is Isomorphic
to the Hoffman–Singleton Graph

A. A. Makhnev p. 771  abstract

Strong Convergence of Approximate Identities and Bourgain Points of Bounded Functions

P. A. Mozolyako p. 774  abstract

Small Deviations for Matérn Random Fields and Processes in the Hilbert Norm

R. S. Pusev p. 778  abstract

Transposition of Large Rectangular Matrices

A. A. Tret’yakov and E. E. Tyrtyshnikov p. 781  abstract


Mathematical Physics

The Use of Resonance Effect in X-ray Tomography

D. S. Anikonov p. 784  abstract

An Exact Solution of the Boundary Value Problem on Thermal Creep
for a Quantum Fermi Gas

N. N. Lyubimova p. 788  abstract

Localization of Heat Energy in an Emergency Reactor under Overheating

I. A. Molotkov p. 791  abstract


Computer Science

On Normalizing Constants in Open and Mixed Multiclass Queuing Networks

A. I. Gerasimov p. 795  abstract

Method of Polynomial Approximation for Analysis of Computer Systems and Networks

A. I. Gerasimov p. 800  abstract


Control Theory

Subsystems on Nonlinear Control Dynamical Systems

V. I. Elkin p. 804  abstract


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