Contents
Doklady Mathematics

Vol. 68, No. 3, 2003

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

Translated from Doklady Akademii Nauk, Volume 393, Nos. 1–6, 2003

Volume 68, November–December.

Mathematics

Existence and Uniqueness Theorems for the Beltrami Equation with Degeneration

M. Viorinen, V. Ya. Gutlyanskii, O. Martio, and T. Sugawa p. 313  abstract

A Description of Interpolation Orbits of Neumann–Schatten Ideals Acting
in Hilbert Couples and Embedding Theorems

E. D. Kravishvili and V. I. Ovchinnikov p. 316  abstract

On Riesz Bases of Eigenfunctions of an Integral Operator with a Variable Limit of Integration

V. P. Kurdyumov and A. P. Khromov p. 320  abstract

Almost Solvability of Lie Algebras with Almost Regular Automorphisms

N. Yu. Makarenko and E. I. Khukhro p. 325  abstract

Mean Statistical Information with Respect to a Convex Function
and General Linear Equations for the min-max Space

V. P. Maslov p. 327  abstract

Sharp Jackson-Type Inequalities for Spline Analogs of Akhiezer–Krein–Favard Operators 

O. L. Vinogradov and V. V. Zhuk p. 331  abstract

A Complex Analog of the Neumann Problem and an Orthogonal Decomposition
of L₂ into a Sum of Analytic and Coanalytic Subspaces

Yu. A. Dubinskii p. 335  abstract

Positivity Property of Solutions of Some Nonlinear Elliptic Inequalities on ⁿ

E. Mitidieri and S. I. Pohozaev p. 339  abstract

Limit Theorems for Increments of Processes with Independent Increments

A. N. Frolov p. 345  abstract

On the Regularity of a Boundary Point for Quasilinear Elliptic Equations
with a Nonstandard Growth Condition

Yu. A. Alkhutov and O. V. Krasheninnikova p. 350  abstract

Associated Homogeneous p-Adic Distributions

S. Albeverio, A. Yu. Khrennikov, and V. M. Shelkovich p. 354  abstract

Geometry of the Singularities of Integrable Systems on Lie Algebras

Yu. A. Brailov p. 358  abstract

One Szegö–Widom Limit Theorem

V. A. Vasil’ev, E. A. Maksimenko, and I. B. Simonenko p. 361  abstract

Theorems on the Injectivity of the Local Pompeiu Transform on the Sphere

Vit. V. Volchkov p. 363  abstract

Chebyshev–Markov–Bernstein–Szegö Polynomials and Optimization Algorithms
for Chebyshev Iterative Methods in Classes of Initial Errors

V. I. Lebedev p. 366  abstract

Transformation Operators and Boundary Value Problems
in the Theory of Harmonic and Biharmonic Functions

I. I. Bavrin and O. E. Yaremko p. 371  abstract

Representation of Linear Operators in a Hilbert Space
in the Form of Finite Sums of Products of Projectors

A. M. Bikchentaev p. 376  abstract

Asymptotically Close Solutions to an Ordinary Differential Equation

A. D. Bruno p. 380  abstract

The Spectrum of a Linear Hamiltonian System and Symplectic Geometry
of a Complex Artin Space

V. V. Kozlov p. 385  abstract

Convergence of Expansions in the Eigenfunctions of the Dirac Operator

B. S. Mityagin p. 388  abstract

Extrapolation of Operators and the Limits of Applicability of the Schur Test

E. I. Berezhnoi and L. Maligranda p. 392  abstract

Analysis of Invariants of Monitor Metrics Used for Controlling Numerical Grids

V. D. Liseikin p. 396  abstract

Mathematical Models of World Population Growth

V. I. Naidenov and I. A. Kozhevnikova p. 400  abstract

On the Convergence of the Chebyshev Method

M. I. Nechepurenko p. 406  abstract

On Integral Operators with Variable Domains of Integration

V. D. Stepanov and E. P. Ushakova p. 409  abstract

Classes U_s(, , ; ) and Quadrature Formulas

N. Temirgaliev p. 414  abstract

The Spectral Properties of Operators with a Two-Point Bohr Spectrum

A. G. Baskakov p. 418  abstract

A Boundary Control of Radially Symmetric Oscillations of a Round Membrane

V. A. Il’in and E. I. Moiseev p. 421  abstract

Axioms of Nonlinear Averaging in Financial Mathematics
and an Analogue of Phase Transition

V. P. Maslov p. 426  abstract

On Bases in Sobolev Spaces

O. V. Matveev p. 430  abstract

Semigroup Regularization of Differential Problems

I. V. Melnikova p. 434  abstract

The Cameron–Erdös Conjecture

A. A. Sapozhenko p. 438  abstract

On the Asymptotics of the Spectrum of a Fourth-Order Differential Operator
in the Degenerate Case

Ya. T. Sultanaev and N. A. Sidel’nikova p. 442  abstract

Metric Semigroups and Cones of Mappings of Finite Variation
of Several Variables and Multivalued Superposition Operators

V. V. Chistyakov p. 445  abstract

Mathematical Physics

An Inequality for Entropy Corresponding to Solutions of a Unitarily Nonlinear Equation
in Quantum Thermodynamics

G. V. Koval’ p. 449  abstract

Kolmogorov Probability Models of Quantum Correlations

O. G. Smolyanov, A. Truman, and A. Yu. Khrennikov p. 452  abstract

Modification of the Two-Level Model of V.P. Maslov and Phase Transitions

G. V. Koval’ p. 457  abstract

Quasiclassical Approximation and the Maslov Canonical Operator
for Nonrelativistic Equations of Quantum Mechanics in Nanotubes

V. V. Belov, S. Yu. Dobrokhotov, S. O. Sinitsyn, and T. Ya. Tudorovskii p. 460  abstract

Interaction of Eigenvalues under Variation of Parameters

A. A. Mailybaev and A. P. Seyranian p. 466  abstract

Computer Science

Application of Neural Networks to Mathematical Modeling of Toroidal Plasma

F. S. Zaitsev, A. A. Lukianitsa, and A. G. Shishkin p. 471  abstract

Communities of Interacting Automata 

I. A. Lomazova p. 474  abstract

Author Index to Volume 67, 2003 p. 477

Author Index to Volume 68, 2003 p. 479

Contents of Volumes 67 and 68, 2003 p. 481

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