Contents
Doklady Mathematics

Vol. 56, No. 1, 1997

English language translation of the journal is available from / Interperiodica Publishing (Russia). Distributed worldwide
by the American Institute of Mathematics. Doklady Mathematics ISSN 1064-5624.

Translated from Doklady Akademii Nauk, Volume 355, Nos. 1–6, 1997

Volume 56, July–August.

Mathematics

The Liouville Theorem for Infinite-Dimensional Hamilton–Dirac Systems

S. Albeverio and O. G. Smolyanov p. 475  abstract

Global Analysis of Operator Equations Arising in Singular Optimization Problems

Yu. G. Borisovich p. 479  abstract

Some Classes of Pseudodifferential Equations in Cones

V. B. Vasil’ev p. 482  abstract

Inequalities with Precise Constants for the Second Module of Continuity

O. L. Vinogradov p. 485  abstract

The Floquet Theory for the Schrödinger Operator with a Perturbed Periodic Potential
and Precise Spectral Asymptotics

S. Z. Levendorskii p. 488  abstract

Solvability of Boundary Equations in Mixed Problems for the Maxwell System

I. Yu. Chudinovich p. 492  abstract

Spectral Synthesis for Systems of Differential Operators with Constant Coefficients

A. B. Shishkin p. 495  abstract

A Boundary Problem Correct for Systems of Second-Order Partial Differential Equations
Elliptic in the Sense of Petrovsky

A. I. Yanushauskas p. 497  abstract

The Generalized Waring Problem: G(m, r) G(0, r) + m + 1 for Any m 1 and r 3

A. A. Zenkin p. 499  abstract

Some Properties of Polynomials and Determination of Roots by Parts

S. L. Ivanova and L. F. Tarakanovskii p. 502  abstract

Local Approximation of Functions by Polynomials and Quasipolynomials

Yu. V. Kryakin p. 505  abstract

A Criterion for the Weak Finite-Difference Approximation of the Operator
of the Sum of Partial Derivatives of Nonlinear Functions

V. V. Ostapenko p. 508  abstract

A Generalization of Theorems of Carathéodory and Krein–Mil’man for Strongly Convex Sets

E. S. Polovinkin p. 512  abstract

Finiteness Theorem for Ray Transforms on Riemannian Manifolds

V. A. Sharafutdinov p. 515  abstract

Boundary Problems for Differential Equations with Constant Coefficients and a Moment Problem

V. P. Burskii p. 518  abstract

Closed Trajectories and Two-Dimensional Tori
in the Quantum Kepler Problem with Variable Anisotropy

S. Yu. Dobrokhotov, Victor M. Olivé, and A. I. Shafarevich p. 522  abstract

Generalizations of a Theorem of S.M. Nikol’skii for Normally Solvable Operators in Hilbert Spaces

V. F. Zhuravlev p. 526  abstract

Prevalence in the Space of Smooth Mappings and the Prevalent Kupka–Smale Theorem

V. Yu. Kaloshin p. 529  abstract

r-Solutions to Equations of the First Kind with a Completely Continuous Operator
in Hilbert Spaces: Existence and Stability

V. I. Kostin, V. G. Khaidukov, and V. A. Cheverda p. 531  abstract

New Theorems on Periodic Oscillations Close to Resonance in Systems with Delay

D. I. Rachinskii and J. Tronel p. 536  abstract

On Integration of Mappings of Semiordered Rings

V. M. Shcherbin p. 540  abstract

Varieties of Representations of Fundamental Groups of Compact Nonorientable Surfaces

V. V. Benyash-Krivets and V. I. Chernousov p. 543  abstract

New Types of Elliptic Boundary Value Problems in Reinforced Sobolev Spaces

E. G. D’yakonov p. 547  abstract

The Hopf Bifurcation for Autonomous Systems with Hysteresis

M. A. Krasnosel’skii^†, D. I. Rachinskii, and M. G. Yumagulov p. 550  abstract

The Completeness of the System of Solutions to the Integral Volterra Equation with a Singularity

S. G. Krein and I. V. Sapronov p. 554  abstract

Saddle Points on Nonconvex Subsets of Topological Spaces

E. R. Smol’yakov p. 557  abstract

L_p-Continuous Extremal Selectors of Multivalued Mappings with Decomposable Values

A. A. Tolstonogov and D. A. Tolstonogov p. 559  abstract

On the Asymptotic Behavior of Orbits of C₀-Semigroups

Yu. V. Tomilov p. 562  abstract

The Weight Hardy Inequality for Differences and the Complete Continuity
of the Embedding of Sobolev Spaces for Domains with Arbitrary Strong Degeneracy

V. I. Burenkov and V. D. Evans p. 565  abstract

Cohomology and Deformations of Semidirect Sums of Lie Algebras

A. S. Dzhumadil’daev p. 568  abstract

Asymptotically Optimal Algorithms for Problems
of the Stokes Type in Reinforced Sobolev Spaces

E. G. D’yakonov p. 571  abstract

Digital Signal Processing with Spline-Wavelets and Wavelet Packets

V. A. Zheludev p. 574  abstract

An Estimate of the Conditional Stability of the Solution
to an Inverse Problem with a Fixed Point Source

V. G. Romanov p. 578  abstract

Evaluation of the First Eigenvalues of the Boundary-Value Hydrodynamic Stability Problem
for a Flow between Two Parallel Planes at Small Reynolds Numbers

V. A. Sadovnichii, V. V. Dubrovskii, S. I. Kadchenko, and V. F. Kravchenko p. 581  abstract

The Homogenization of Nonstationary Equations with Contrast Coefficients

G. V. Sandrakov p. 586  abstract

Ergodic Theory on Homogeneous Spaces and the Calculation of Lattice Points in Polyhedrons

M. M. Skriganov p. 590  abstract

Modules of Continuity and the Fourier–Haar Series

P. L. Ul’yanov p. 593  abstract

The Generalized Waring Problem: Estimation of the Function G(m, r)
in Terms of the Function g(m – 1, r) by the Superinduction Method

A. A. Zenkin p. 597  abstract

The Two-Weight Inequalities of the Gradient–Laplacian Type
for Functions with Zero Boundary Values

G. A. Kalyabin p. 601  abstract

Attractors of Ordinary Differential Equations

L. D. Kudryavtsev p. 604  abstract

Two-Dimensional Real Triangular Quasi-Representations of Free Groups

V. A. Faiziev p. 607  abstract

A Study of the Properties of Functions Depending on the Geometry of Their Spectrum

Ha Huy Bang p. 610  abstract

Mathematical Physics

Destruction as a Process of Self-Organization with Degeneration of Dimensionality

A. M. Avdeenko and E. I. Kuz’ko p. 614  abstract

Hidden Symmetry and Conservation Laws in Magnetohydrodynamic Systems
with Embedded Magnetic Surfaces

V. I. Il’gisonis and V. P. Pastukhov p. 619  abstract

The Axiomatic Approach in Conformal Quantum Field Theory in D Dimensions

M. Ya. Pal’chik and E. S. Fradkin p. 622  abstract

The Buffer Phenomenon in a Long Circuit with a Tunnel Diode

V. F. Kambulov and A. Yu. Kolesov p. 625  abstract

Informatics

Influence of the Complexity of Distributions on the Quality
of Classification for Independent Variables

N. G. Startseva p. 628  abstract

Control Theory

On Methods of Qualitative Identification Theory for Complex Dynamical Systems

A. V. Daneev and V. A. Rusanov p. 631  abstract

One Construction of a Smooth Extension

V. I. Rabover p. 635  abstract

The Stabilization of Unstable Cycles of Chaotic Mappings

N. A. Magnitskii p. 638  abstract

Computer Science

Measures of Similarity and Dissimilarity, Reference Sets, and the Ternary Relation “Between”

A. B. Doktorovich p. 641  abstract

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