Contents
Doklady Mathematics


Vol. 53, No. 3, 1996

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

Translated from Doklady Akademii Nauk, Volume 348, Nos. 1–6, 1996


Volume 53, May–June.

Mathematics

A Problem of the Riemann–Hilbert Type
for a Nonregular System of Partial Differential Equations

A. A. Andryan p. 323  abstract

A Generalized Fourier Method of Solving a Mixed Problem
for a Hyperbolic System

A. I. Vagabov p. 327  abstract

Extending Differentiable Functions
and Quasiconformal Mappings on Carnot Groups

S. K. Vodop’yanov and A. V. Greshnov p. 331  abstract

Closedness of Orbits and Residual Finiteness
with Respect to Conjugacy of Free Amalgamated Products

P. A. Zalesskii and O. I. Tavgen’ p. 334  abstract

Simplest Polymetric Geometries

G. G. Mikhailichenko p. 336  abstract

On the Uniqueness of the Solution to the Gellerstedt Problem
for the General System of Chaplygin Equations

M. M. Ovezova p. 339  abstract

On the First Boundary Problem for a Parabolic Equation
with a Changing Time Direction

S. A. Tersenov p. 341  abstract

On the Solvability of a System of Partial Differential Equations

A. A. Andryan p. 344  abstract

Hypergeometric Functions and the Newtonian Polyhedron Related
to the Action of the Torus (C*)n on kCn

I. M. Gel’fand, M. I. Graev, and S. A. Spirin p. 348  abstract

On the Synthesis of Networks of Functional Elements

O. M. Kasim-Zade p. 352  abstract

On the Wiener–Hopf Factorization for One Class of Random Walk

V. I. Lotov p. 355  abstract

The Atiyah–Bott–Lefschetz Fixed-Point Theorem in Symplectic Geometry

B. Yu. Sternin and V. E. Shatalov p. 358  abstract

On the Theory of Abnormal Extremal Problems with a Finite-Dimensional Image

A. V. Arutyunov p. 362  abstract

Implicit Expressibility in Two-Valued Logic
and Cryptoisomorphisms of Two-Element Algebras

O. M. Kasim-Zade p. 366  abstract

On the Bifurcation of Solutions to Invariant Variational Equations

N. I. Makarenko p. 369  abstract

On the Spectral Theory of Non-Self-Adjoint Dirac Operators

F. G. Maksudov and B. P. Allakhverdiev p. 372  abstract

On the General Theory of the Integral Operator Equation
of the Dynamics of Switching Circuits

S. N. Vasil’ev, P. K. Kuznetsov, and A. V. Lakeev p. 374  abstract

The Class of (m, k)-Methods for Solving Implicit Systems

A. I. Levykin and E. A. Novikov p. 377  abstract

The Theory of Linear Parametrization of Criteria in Multicriteria Optimization

I. I. Melamed p. 381  abstract

An Investigation of the Plane in Absolute Geometry

A. V. Pogorelov p. 384  abstract

On the Maximum Principle in the Lp Sense

A. Yu. Khokhlov p. 387  abstract

Limit Cycles of Autonomous Systems

N. A. Bobylev, A. V. Bulatov, S. K. Korovin, and A. A. Kutuzov p. 390  abstract

The S-Classification of Idempotent Algebras with a Finite Support

S. S. Marchenkov p. 394  abstract

RUC-Basis Properties of Haar’s System

E. M. Semenov p. 397  abstract

A Cauchy Problem for Partial Differential Equations with Operator Coefficients

K. S. Fayazov p. 399  abstract

On Estimates on the Complexity of Restrictions of Boolean Functions

A. V. Chashkin p. 402  abstract

Binary Avoidability and Thue–Morse Words

A. M. Shur p. 405  abstract

On the Schrödinger Operator with Pointwise '-Interactions

V. A. Mikhailets p. 407  abstract

To the Problem P = ? NP

V. G. Naidenko p. 411  abstract

Integrable Cases of Rotation of a Rigid Body with a Constraint

S. T. Sadetov p. 413  abstract

An Iteration Procedure for Constructing Minimax
and Viscous Solutions to Hamilton–Jacobi Equations

A. I. Subbotin and A. G. Chentsov p. 416  abstract

The Existence of a Point Spectral Radius
for Pseudodifferential Operators

H. H. Bang p. 420  abstract

Special Self-Adjoint Extensions of Schrödinger Differential
Operators by Means of Feynman Integrals

E. T. Shavgulidze p. 423  abstract

On the Convergence of Difference Schemes
for Differential Equations with a Fractional Derivative

M. Kh. Shkhanukov p. 426  abstract


Mathematical Physics

Two Superconducting Disks in the Field of a Vertical Electric Dipole

V. F. Kravchenko, V. T. Erofeenko, and V. I. Pustovoit p. 429  abstract

The Spectrum of the System of N Bosons for N

V. V. Kucherenko and V. P. Maslov p. 434  abstract

A Theorem on Ergodic Semiclassics

V. P. Maslov p. 438  abstract

Quasiclassical Integral Equations and the Asymptotic Behavior of Solutions
to the Korteweg–de Vries Equation for Large Times

A. M. Budylin and V. S. Buslaev p. 441  abstract

Nonperiodic Motion That Arises when Nonlinear Waves
Propagate in Saturated Porous Media

A. M. Maksimov, E. V. Radkevich, and I. Ya. Edel’man p. 445  abstract

Boundary Integral Equations in Magnetoelectroelasticity

A. O. Vatul’yan and M. Yu. Korobeinik p. 450  abstract

On Solving the Problem of Wave Scattering by Several Bodies

A. G. Kyurkchan p. 453  abstract

The Kadomtsev–Petviashvili Equation in the Neighborhood of a Morse Critical Point

V. P. Shestopalov p. 458  abstract


Informa tics

A Version of Cluster Analysis That Eliminates Cluster as an Inexact Concept

M. K. Kozlov p. 462  abstract

Multilayer Neural Networks and Multistep Generalized Mathematical Programming

D. B. Yudin p. 465  abstract

Point-Spread Function Identification in an Image Restoration Problem

V. F. Kravchenko, V. A. Rvachev, and V. I. Pustovoit p. 468  abstract


Control Theory

Universal Regulators in a Linear-Quadratic Problem of Optimal Control

V. A. Yakubovich p. 471  abstract

Adaptive Observers for Nonlinear Nonstationary Dynamic Systems

M. N. Zaripov and N. N. Karabutov p. 476  abstract

A Generalized Problem of Linear Programming

V. V. Dikusar p. 479  abstract


Computer Engineering

Two Suggestions for High-Speed Nonrestoring Division

V. A. Brik p. 482  abstract


Pleiades Publishing home page | journal home page | top

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