Contents
Doklady Mathematics


Vol. 62, No. 3, 2000

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

Translated from Doklady Akademii Nauk, Volume 375, Nos. 1–6, 2000


Volume 62, November–December.

Mathematics

The Fourier–Rademacher Coefficients

S. V. Astashkin and E. M. Semenov p. 319  abstract

On Identities of Epigroups

I. Yu. Zhil’tsov p. 322  abstract

Criteria for Nonsystematicness of Perfect Binary Codes

S. A. Malyugin p. 325  abstract

Shuttle Iterations in Problems with Nonmonotone Nonlinearities

D. I. Rachinskii p. 328  abstract

Topology of Bifurcation Diagrams of Integrable Systems
on Semisimple Lie Algebras

Yu. A. Brailov p. 333  abstract

Pairwise Product of Eisenstein Series and Manin’s Theta Functions

V. A. Bykovskii p. 336  abstract

Some Relations between Arguments of Gauss Sums

M. Z. Garaev p. 339  abstract

A Conjecture on the Influence of Higher Derivatives on the Motion
of the Center of Masses

V. A. Gelovani and E. R. Smol’yakov p. 341  abstract

The Trajectory Equivalence of Two Classical Problems in Rigid Body Dynamics

N. V. Korovina p. 345  abstract

The Averaging Technique in Linear-Quadratic Control Problems

L. A. Safonov and V. V. Strygin p. 348  abstract

Calculation of the Cone Tangent to the Image of a Mapping at a Singular Point

A. V. Arutyunov p. 351  abstract

Solution of the Illumination Problem for Three-Dimensional Convex Bodies

V. G. Boltyanski p. 353  abstract

On the Normal Solvability and the Index of Differential Operators

Z. I. Ismailov p. 357  abstract

Factorization of Conformal Mapping and Variations of Schlicht Functions

V. V. Kozhevnikov p. 359  abstract

On Positive Green Functions Summing Alternating Neumann Series

Yu. V. Pokornyi p. 361  abstract

A Version of the Method of Program Iterations in an Abstract Control Problem

A. G. Chentsov p. 365  abstract

Representation of the Solution to the First Boundary Value Problem
for the Heat Equation in the Form of Poisson Integrals and Their Applications

A. I. Vagabov p. 369  abstract

Weak and Generalized Solutions to Abstract Stochastic Equations

I. V. Mel’nikova and A. I. Filinkov p. 373  abstract

A Priori Estimates of Solutions to Differential Inequalities
in the Sturm–Liouville Problem on a Graph (Spatial Mesh)

Yu. V. Pokornyi p. 378  abstract

The Lacuna Phenomenon in Solutions to a Difference 3D Wave Equation

V. I. Turchaninov p. 381  abstract

The Method of Exponential Generating Function for Random Walks
in a Quadrant of the Plane

A. V. Kalinkin p. 382  abstract

The Space of Functions Asymptotically Approaching Polynomials

L. D. Kudryavtsev p. 387  abstract

On Convergence of Vector Stieltjes Continued Fractions

A. I. Aptekarev and M. Kastro Smirnova p. 391  abstract

On Global Attractors of Nonautonomous Evolution Inclusions in Banach Spaces

J. Valero and V. S. Mel’nik p. 394  abstract

Dynamics of an Adiabatic Piston

J. Lebowitz, J. Piasecki, and Ya. G. Sinai p. 398  abstract

Elliptic Boundary Value Problems in Domains with Intersecting Cuspidal Edges

V. S. Rabinovich, N. N. Tarkhanov, and B.-W. Schulze p. 401  abstract


Mathematical Physics

Generalized Solution to an Inverse Problem for the Wave Equation

S. I. Kabanikhin and K. T. Iskakov p. 406  abstract

Quantization of Entropy and Superconductivity

V. P. Maslov p. 409  abstract


Control Theory

On the Methods of Deformable Configurations

A. S. Rykov p. 414  abstract

On the Interactive Methods of Deformable Configurations

A. S. Rykov p. 417  abstract

Inverse Extremum Problems for Stationary Equations of Heat and Mass Transfer

G. V. Alekseev p. 420  abstract

Asymptotic Stability Analysis of Equilibrium Points
in Nonlinear Dynamical Systems by the Radial Drift Method

V. P. Zhukov p. 425  abstract

Synthesis of Active Vibroproof Systems with Parametric and Additive Controls

M. Ya. Izrailovich and A. V. Sinev p. 429  abstract

Hopf Bifurcations with Weak Resonances in Control Systems
with Nonpolynomial Nonlinearities

A. M. Krasnosel’skii, D. McInerney, and A. V. Pokrovskii p. 432  abstract

Intelligent Self-Organizing Systems of Control of Motion
with Prolongation and Safety Issues

A. A. Krasovskii p. 438  abstract

Synthesis of Controls of Periodic Regimes with Adaptivity
and Invariance Properties

M. Ya. Izrailovich p. 441  abstract


Computer Science

Method CICL for Ordinal Classification of Multicriteria Alternatives

O. I. Larichev and A. A. Asanov p. 444  abstract

Estimates of Solutions to Some Discrete-Time Volterra Equations

V. B. Kolmanovskii and A. D. Myshkis p. 449  abstract


Author Index to Volume 61, 2000 p. 453

Author Index to Volume 62, 2000 p. 455

Contents of Doklady Mathematics, Vols. 61 and 62, 2000 p. 457


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