Contents
Doklady Mathematics
Vol. 61, No. 3, 2000
English language translation of the journal is available from MAIK Nauka / Interperiodica (Russia).
Doklady Mathematics ISSN 10645624.
Translated from Doklady Akademii Nauk, Volume 372, Nos. 16, 2000
Volume 61, MayJune.
Mathematics
On Lp-Solutions to Boundary Value Problems
Sh. A. Alimov p. 315 abstract
Bergman Spaces in Tubular Domains and the Commuting Toeplitz Operator
N. L. Vasilevskii p. 317 abstract
An Application of the Theory of Gibbs Distributions to Mathematical Genetics
N. N. Ganikhodzhaev p. 321 abstract
Absolutely Representing Systems of Exponentials with Imaginary Exponents
in Spaces of Infinitely Differentiable Functions
Yu. F. Korobeinik p. 324 abstract
On Homogeneous Einstein Manifolds
Yu. G. Nikonorov p. 328 abstract
Multivaluedness Problems in Noncooperative Games
E. R. Smolyakov p. 332 abstract
Louck Polynomials and Their Relation to General Hypergeometric
Functions and GG-Functions
I. M. Gelfand and M. I. Graev p. 336 abstract
Implicit Boolean Equations
V. P. Levchenkov p. 340 abstract
A Classification of Automaton Bases
V. A. Orlov p. 344 abstract
Averaging of Dynamic Processes in Composites Periodically Reinforced by Fibers
G. V. Sandrakov p. 346 abstract
Conditions for Invertibility and the Fredholm Property of Difference Operators
A. G. Baskakov p. 350 abstract
On the Reconstruction of Metrics via External Electromagnetic Measurements
M. I. Belishev, V. M. Isakov, L. N. Pestov, and V. A. Sharafutdinov p. 353 abstract
On Multistep Extrapolation Methods for Ordinary Differential Equations
G. Yu. Kulikov and S. K. Shindin p. 357 abstract
Orthogonally Additive Majorized Operators
A. G. Kusraev and M. A. Pliev p. 361 abstract
On the Properties of Operators of a Class Related to a Fischer Pair
in the Space of Analytic Functions
V. V. Napalkov and A. V. Komarov p. 364 abstract
MacWilliams Identities for Spherical Orbit Codes
V. M. Sidelnikov p. 367 abstract
Transient Phenomena in the Mathematical Theory of Epidemics
G. Sh. Tsitsiashvili p. 371 abstract
Theorems on the Reducibility of a Pair of Matrices as Rational Criteria
Yu. A. Alpin and Kh. D. Ikramov p. 373 abstract
On Spectral Asymptotics and Abel Summability of Series over Systems
of Root Vector-Functions of Nonsmooth Elliptic Differential Operators Far
from Self-Adjoint
K. Kh. Boimatov p. 376 abstract
On the Reachability Problem under Persistent Disturbances
P. Varaiya and A. B. Kurzhanskii p. 380 abstract
The Generalized HardyTitchmarsh Transform in the Space of Summable Functions
A. A. Kilbas, M. Saigo, and A. N. Borovko p. 385 abstract
Nonlinear Hopf Bifurcations
A. M. Krasnoselskii, N. A. Kuznetsov, and D. I. Rachinskii p. 389 abstract
New Monte Carlo Methods for Time-Dependent Problems in Radiation Transfer Theory
G. A. Mikhailov and G. Z. Lotova p. 393 abstract
Solving the Generalized Djokovi
Problem
Yu. A. Alpin and Kh. D. Ikramov p. 397 abstract
Exponential Series in the Space of Sequences of Finite Order and Type
V. V. Napalkov and G. A. Sapronova p. 400 abstract
On Compact Seven-Dimensional Homogeneous Einstein Manifolds
Yu. G. Nikonorov p. 403 abstract
About One Problem of H. Hopf
A. V. Pogorelov p. 406 abstract
On the Asymptotic Behavior of Increments of Sums of Independent Random Variables
A. N. Frolov p. 409 abstract
To the Consistency of Various Versions of the Method of Program Iterations
A. G. Chentsov p. 413 abstract
A Functional Central Limit Theorem for Transformed Solutions
to the Multidimensional Burgers Equation with Random Initial Data
Yu. Yu. Bakhtin p. 417 abstract
Slow Taxis in a PredatorPrey Model
V. N. Govorukhin, A. B. Morgulis, and Yu. V. Tyutyunov p. 420 abstract
Solutions to the Boundary Value Problem for the Heat Equation with Periodic Distributions
A. Ya. Dorogovtsev p. 423 abstract
The Solution of the Time-Independent Diffusion Equation by the Monte Carlo Method
with Evaluation of Derivatives
G. A. Mikhailov and A. V. Burmistrov p. 426 abstract
The Infinite Lagrange Problem
A. V. Uglanov p. 430 abstract
Mathematical Physics
Bifurcations under Monotone Loss of Stability of Equilibrium
in a Cosymmetric Dynamical System
L. G. Kurakin and V. I. Yudovich p. 433 abstract
A Definition of an Adjoint Operator for Nonlinear Problems
V. S. Vladimirov and G. I. Marchuk p. 438 abstract
An Analytical Solution to the Time-Dependent Heat Equation in the Exterior
of an Infinite Circular Cylindrical Cavity with a Moving Heat Source Inside
V. A. Pinsker p. 442 abstract
Statement of the Problems Describing the Interaction
between a String and Its Vibration Exciter
Yu. A. Demyanov p. 446 abstract
Control Theory
Design of Controllers of Reduced Dimension for Solving Control Problems
with an H
Criterion
V. A. Brusin p. 452 abstract
Time-Optimal Control in a Third-Order System with Asymmetric Constraints
L. D. Akulenko and G. V. Kostin p. 454 abstract
Simultaneous Synthesis of Optimal Control as Hierarchical Differential Game
S. A. Kabanov p. 459 abstract
Computer Science
The Filtration Problem in Systems with an Aftereffect under Nonzero Initial Conditions
V. B. Kolmanovskii and A. I. Matasov p. 461 abstract
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