Contents
Doklady Mathematics

Vol. 60, No. 3, 1999

English language translation of the journal is available from “ / Interperiodica” (Russia).
Doklady Mathematics ISSN 1064–5624.

Translated from Doklady Akademii Nauk, Volume 369, Nos. 1–6, 1999

Volume 60, November–December.

Mathematics

Mappings with Bounded Distortion on the Heisenberg Group

N. S. Dairbekov p. 313  abstract

Large Deviations of Chernoff Type for U- and V-Statistics

Ya. Yu. Nikitin and E. V. Ponikarov p. 316  abstract

To the Theory of BMO-Quasiregular Mappings

V. Ryazanov, U. Srebro, and E. Yakubov p. 319  abstract

A Method for Approximate Determination of Eigenvalues of a Sturm–Liouville Operator

V. A. Sadovnichii, V. V. Dubrovskii, and E. M. Maleko p. 322  abstract

-Quasiconvexity and Variational Problems on Sets of Solenoidal Vector Fields

G. A. Seregin p. 325  abstract

Character Hopf Algebras and Quantization of Lie Algebras

V. K. Kharchenko p. 328  abstract

Central Units of Integer Group Rings of Finite Groups

R. Zh. Aleev p. 330  abstract

Unfoldings of Reversible Vector Fields with SO(2)-Symmetry
and Non-Semisimple Eigenvalue Zero of Multiplicity Four

A. L. Afendikov and A. Mielke p. 332  abstract

Relations between Smooth Measures and Their Logarithmic Gradients and Derivatives

H. von Weizsaecker and O. G. Smolyanov p. 337  abstract

General Form of Linear Functionals over Analytic Sobolev Spaces

Yu. A. Dubinskii and A. S. Osipenko p. 341  abstract

Limiting Values on the Boundary of Metaharmonic Functions

V. P. Mikhailov p. 344  abstract

Existence of Global Generalized Solutions to the Equations for a Viscous
One-Dimensional Real Gas and for One-Dimensional Nonlinear Thermoviscoelasticity

A. A. Amosov p. 347  abstract

Some Singular Integral Operators with Matrix Coefficients

K. Kh. Boimatov and G. Dzhangibekov p. 351  abstract

Shuttle Systems of Finite Volume

A. G. Gadzhiev p. 355  abstract

Asymptotics of Controls for a Singular Elliptic Problem

A. R. Danilin p. 357  abstract

Stability of Stationary Solutions

A. Ya. Dorogovtsev p. 361  abstract

The Bakhvalov–Kolmogorov Principle and Asymptotically Optimal Algorithms
for Stationary Problems in Weakened Sobolev Spaces

E. G. D’yakonov p. 363  abstract

Estimates of Perturbations of the Operator Function D(1 + D²) Based
on a Nonlinear Functional in Symmetric Spaces

A. A. Sedaev, E. M. Semenov, and F. A. Sukochev p. 367  abstract

Representations of Solutions to the Liouville Equation by Feynman and Wiener Integrals

J. Antoniou and O. G. Smolyanov p. 371  abstract

About Functions with Zero Integrals over Parallelepipeds

V. V. Volchkov p. 375  abstract

To an Infinitesimal Analysis of Quasi-regular Mappings

M. Vuorinen, V. Ya. Gutlyanskii, O. Martio, and V. Ryazanov p. 377  abstract

Uniform Exponential Stability of Attractors for Perturbed Evolution Equations

I. N. Kostin and S. Yu. Pilyugin p. 380  abstract

The Density of (Rⁿ ) in Generalized Sobolev Spaces W^m,p(x)(Rⁿ)

S. G. Samko p. 382  abstract

Nikol’skii–Besov Differential Function Classes on a Compact Symmetric Space of Rank One

A. P. Terekhin p. 386  abstract

Monte Carlo Computation of the Phase Function for the Radiative Transfer Equation

V. S. Antyufeev p. 389  abstract

Singularities of the Green Function for Nonstrictly Hyperbolic Operators

V. A. Borovikov p. 392  abstract

The Stabilizing Properties of the Gradient Method for Unstable Approximate Schemes

A. F. Izmailov, V. G. Karmanov, and A. A. Tret’yakov p. 395  abstract

Boundary Control of Two-End Oscillations

V. A. Il’in p. 398  abstract

One Criterion for Complete Continuity of Attractors with Respect to a Parameter
for Some Class of Semidynamic Systems

A. A. Kornev p. 403  abstract

Stochastic Schrödinger Equations for Hamiltonian Systems with Connections

O. G. Smolyanov and A. Truman p. 406  abstract

On Boolean Bases Directly Preceding the Basis {&, , }

D. Yu. Cherukhin p. 410  abstract

Algebraic Properties of Infinite-Dimensional Differential Forms of Finite Codegree

H. von Weizsaecker, R. Leandre, and O. G. Smolyanov p. 412  abstract

Boundary Control of Vibrations at an End, with the Other End Being Fixed

V. A. Il’in p. 416  abstract

Differential Equations with Polynomially Asymptotic Solutions

L. D. Kudryavtsev p. 420  abstract

A Version of Formalization of Cantor’s Set Theory

A. S. Kuzichev p. 424  abstract

Separatrices for an Analog of the Standard Map

L. V. Ovsyannikov p. 427  abstract

On HPF- and PF-Morphisms

Yu. N. Pavlovskii p. 429  abstract

Interval Arithmetic and Linear Algebra over Idempotent Semirings

A. N. Sobolevskii p. 431  abstract

Mathematical Physics

On the Field Genesis of Mass

V. F. Krotov p. 434  abstract

Control of Fast Neutron Reactor in the Self-Regulating Regime of the Second Kind

V. Ya. Gol’din, Yu. V. Troshchiev, and G. A. Pestryakova p. 438  abstract

Nonintegrability of an ABC-Flow with A = B = C

S. L. Ziglin and V. A. Cherepenin p. 441  abstract

Elimination of Bosons in the Quasi-Classical Approximation of Second-Quantized Equations
with Fixed Numbers of Fermions

V. P. Maslov p. 443  abstract

An Averaging Technique for N Interacting Fermions with N Tending to Infinity

V. P. Maslov p. 448  abstract

On the Completeness of Root Vectors of a Radio Waveguide

A. N. Bogolyubov, A. L. Delitsyn, and A. G. Sveshnikov p. 453  abstract

On the Refinement of the Theory of Musical String Vibrations

Yu. A. Dem’yanov p. 456  abstract

Cooper Pairs and Averaging Operators in a Nonideal Bose Gas

V. P. Maslov p. 461  abstract

Tunnel Asymptotics in a Nonideal Fermi Gas

V. P. Maslov p. 465  abstract

Efficient Precise Computations of Atmospheric Radiation Based on the ATRAD System

A. V. Shil’kov, S. V. Shil’kova, V. Ya. Gol’din, and E. N. Aristova p. 469  abstract

Control Theory

Extension of Absolute Equilibrium

E. R. Smol’yakov p. 472  abstract

Synthesis of Self-Oscillating Systems with Parametric and Force Sources of Excitation

M. Ya. Izrailovich p. 476  abstract

The Analytical Form of Solutions to Boolean Equations

V. S. Levchenkov p. 478  abstract

Sample Equivalence and Embedding of Systems

V. N. Bukov, I. M. Maksimenko, and V. N. Ryabchenko p. 482  abstract

Author Index to Vol. 59, 1999 p.484

Author Index to Vol. 60, 1999 p.487

Contents of Doklady Mathematics, Vols. 59 and 60, 1999 p.489

Pleiades Publishing home page | journal home page | top

If you have any problems with this server, contact webmaster.