Contents
Doklady Mathematics

Vol. 65, No. 3, 2002

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

Translated from Doklady Akademii Nauk, Volume 384, Nos. 1–6, 2002

Volume 65, May–June.

Mathematics

The Generalized Index of a Linear Canonical System with Periodic Coefficients

A. A. Zevin p. 325  abstract

Invariants of Virtual Links

V. O. Manturov p. 329  abstract

On the Asymptotic Properties of Continuous Solutions to Systems
of Nonlinear Functional-Difference Equations

G. P. Pelyukh p. 332  abstract

On the Unitary Similarity of Sets of Matrices

Yu. A. Al’pin and Kh. D. Ikramov p. 335  abstract

Completeness Criterion for the Nonstandard Hull of a Normed Space
in a Boolean-Valued Universe

A. E. Gutman and D. B. Ryabko p. 337  abstract

Asymptotically Optimal Algorithms for Stationary Problems in Energy Spaces
on Composite Manifolds

E. G. D’yakonov p. 339  abstract

On the Existence of Cycles in Autonomous Systems

A. M. Krasnosel’skii and D. I. Rachinskii p. 344  abstract

On Integers with Missing Digits

N. G. Moshchevitin p. 350  abstract

Zygmund F-Algebras of Holomorphic Functions in the Ball and in the Polydisk

O. M. Eminyan p. 353  abstract

Representations of Levy Laplacians and Related Semigroups and Harmonic Functions

L. Accardi and O. G. Smolyanov p. 356  abstract

Rigid Relations on Constructive Models

S. S. Goncharov p. 363  abstract

On Domains of (, )-Winning

V. A. Dremov p. 365  abstract

Improvement and Extension of Chebyshev-Type Inequalities
and of the Kolmogorov Estimates

N. V. Sokolov p. 369  abstract

Grid Approximation of Solutions and Derivatives in the Case
of Singularly Perturbed Elliptic Convection–Diffusion Equations

G. I. Shishkin p. 373  abstract

Homogeneous Forms of the Navier–Stokes Equations for Plane-Parallel Steady Flows
of an Incompressible Fluid

Yu. D. Shmyglevskii p. 377  abstract

Optimization of Preconditioned Methods for Saddle Problems

Yu. V. Bychenkov p. 379  abstract

On the Spectrum of the Monodromy Operator for Slowly Oscillating Periodic Solutions
to Functional Differential Equations

H.-O. Walther and A. L. Skubachevskii p. 382  abstract

Semigroup Varieties with Multiplicative Restrictions on Fully Invariant Congruences
of Their Free Objects

B. M. Vernikov p. 386  abstract

Final Version of the Local Two-Radius Theorem on the Quaternion Hyperbolic Space

Vit. V. Volchkov p. 389  abstract

Some Results of Analysis of Hammerstein- and Uryson-Type Equations

G. M. Magomedov and R. I. Kadiev, Jr. p. 392  abstract

Ergodicity Conditions for Markov Almost Periodic Systems

A. I. Perov p. 395  abstract

On Defects of Axiomatics of Green’s Function

Yu. V. Pokornyi and A. V. Borovskikh p. 399  abstract

On Finitely Generated Subgroups of a Certain Periodic Group

R. I. Grigorchuk and J. S. Wilson p. 404  abstract

Inequalities of Fisher and Hadamard Types for Accretive-Dissipative Matrices

Kh. D. Ikramov and V. N. Chugunov p. 405  abstract

A Study of Solutions to Mixed-Type Equations of Surfaces with Zero Mean Curvature
in the Minkowski Space

V. A. Klyachin p. 407  abstract

The Bogolyubov–Pekar Polaron: Three-Dimensional Solutions

A. M. Molchanov p. 410  abstract

Borsuk’s Problem for (0, 1)-Polytopes and Cross-Polytopes

A. M. Raigorodskii p. 413  abstract

A New Approach to Substantiation of the Fourier Method in the Mixed Problem
for One Singular Partial Differential Equation

V. A. Sadovnichii, V. V. Dubrovskii, and E. M. Gugina p. 417  abstract

Stabilization of Solutions to the First Mixed Problem for the Wave Equation
in Domains with Noncompact Boundaries

A. V. Filinovskii p. 420  abstract

On Measurable Spaces Admitting Non-Dirac Countably Additive (0, 1)-Measure

A. G. Chentsov p. 425  abstract

Normal Surfaces in 3-Manifolds

S. V. Matveev and E. A. Fominykh p. 429  abstract

Degeneracy of the Orders of Differential Equations to Zero and Some Problems
of Singular Analysis

L. G. Mikhailov p. 433  abstract

Vector Fields with Nonisolated Singular Points¹

A. O. Remizov p. 437  abstract

To a Characterization of the Gaussian Distributions on Abelian Groups

G. M. Fel’dman p. 440  abstract

Mathematical Physics

New Integral Relationships for Analytical Solutions to Hyperbolic Heat Conduction Models

E. M. Kartashov p. 443  abstract

On a Hydrodynamic Problem Related to Thermocapillary Effects

I. A. Shishmarev p. 447  abstract

On the Hamiltonian Property of the Truncated Hugoniot–Maslov Chain
for Trajectories of Mesoscale Vortices

S. Yu. Dobrokhotov and B. Tirozzi p. 453  abstract

Control Theory

Joint Model and State Estimation of Uncertain Systems from Observation Results

I. A. Digailova and A. B. Kurzhanskii p. 459  abstract

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