and 
and Its Application to the Stokes Problem
Contents
Doklady Mathematics
Vol. 62, No. 2, 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 374, Nos. 1–6, 2000
Volume 62, September–October.
Mathematics
On the Well-Posedness of the Cauchy Problem for Operator-Differential Equations
in Classes of Analytic Vector Functions
M. L. Gorbachuk p. 149 abstract
Mathematical Simulation of the Motion of a Spacecraft under the Action
of Gravity and the Ampère Force
V. I. Denisov, I. P. Denisova, and V. B. Pinchuk p. 152 abstract
One Orthogonal Decomposition of the Spaces and and Its Application
to the Stokes Problem
Yu. A. Dubinskii p. 155 abstract
Wave Equations with Nonlinear Dissipation in Noncylindrical Domains
A. I. Kozhanov and N. A. Lar’kin p. 159 abstract
On the Summability of Multiple Trigonometric Fourier Series of Distributions
A. A. Rakhimov p. 163 abstract
Grid Approximation of the Transport Equation for the Prandtl Problem
of Flow Past a Plate at High Reynolds Numbers
G. I. Shishkin p. 166 abstract
A Theorem on Eigenvectors in Idempotent Spaces
G. B. Shpiz p. 169 abstract
The Finite Basis Property for T-Spaces over Fields of Characteristic Zero
V. V. Shchigolev p. 172 abstract
Groups with Periodic Commutators
S. I. Adyan p. 174 abstract
Integral Fourier Transforms on Compact Subsets of Rn and Their Applications
to the Moment Problem
I. I. Bavrin and O. E. Yaremko p. 177 abstract
The Paley–Wiener Theorem for Spaces of Sequences
V. V. Napalkov and A. V. Zaitseva p. 180 abstract
Birational Automorphisms of Complete Fano Intersections
A. V. Pukhlikov p. 183 abstract
Homogenization of the Filtration of a Two-Phase Immiscible Liquid Flow
G. V. Sandrakov p. 186 abstract
A New Procedure for Verification of Frequency Nondegeneracy of Liouville Systems
R. M. Bebenin p. 190 abstract
Natural Interpolation by B-Splines
N. N. Kalitkin and N. M. Shlyakhov p. 194 abstract
Exact Interval Solutions to the Discrete Bellman Equation and Polynomial Complexity
of Problems in Interval Idempotent Linear Algebra
G. L. Litvinov and A. N. Sobolevskii p. 199 abstract
On the Existence of Boundary Values of Metaharmonic Functions
V. P. Mikhailov p. 202 abstract
The Robust Boundary Control Problem: The Case of Dirichlet Boundary Conditions
Yu. S. Osipov, L. Pandolfi, and V. I. Maksimov p. 205 abstract
Application of Inequalities for Smooth Periodic Functions to Some Problems
of the Theory of Nonlinear Oscillations
A. I. Perov p. 208 abstract
On the Property of Simple Substitution for Superintuitionistic Propositional Logics
V. I. Khomich p. 213 abstract
The Generic Automorphism of a Lebesgue Space Is Conjugate to a G-Extension
for Any Finite Abelian Group G
O. N. Ageev p. 216 abstract
A Generalization of One Theorem of N.A. Davydov
B. A. Kats p. 220 abstract
Nonlinear Differential Equations of Fractional Order in the Space of Integrable Functions
A. A. Kilbas, B. Bonilla, and J. Trujillo p. 222 abstract
On the Decomposition Method for Constructing Images of Subsets Endowed
with the Structure of Sets
Yu. N. Pavlovskii p. 227 abstract
Additive Inequalities with Exact Constants for Operators Satisfying Conditions
of the Type of p-Convexity or p-Concavity
T. V. Tararykova p. 230 abstract
An Example of the Normality of D(K, M)
Abdullah K. S. Ali p. 234 abstract
Action of Nonsuperrigid Lattices in Symmetric Spaces of Rank One
B. N. Apanasov p. 237 abstract
Analysis of the Properties of Functions from the Space N
Depending
on the Geometry of Their Spectrum
Ha Huy Bang p. 241 abstract
Asymptotics of Solutions to a Periodic Problem
for a Wide Class of Nonlinear Evolution Equations
E. I. Kaikina, P. I. Naumkin, and I. A. Shishmarev p. 245 abstract
The Method of Quasi-Uniform Grids in an Infinite Domain
N. N. Kalitkin, N. O. Kuznetsov, and S. L. Panchenko p. 249 abstract
Analytic Solutions to Nonlinear Boundary Value Problems
A. M. Molchanov p. 253 abstract
A Remark on Elliptic Theory on Manifolds with Isolated Singularities
V. E. Nazaikinskii and B. Yu. Sternin p. 257 abstract
Two-Valued Measures as Generalized Elements: The Problem
of Extending a System of Conditions
A. G. Chentsov p. 262 abstract
The Exponential Rate of Convergence of the Finite-Element Method
for the Dirichlet Problem with Singularity of the Solution
A. Yu. Bespalov and V. A. Rukavishnikov p. 266 abstract
On the Deficiency Indices of a Singular Sturm–Liouville Operator
with a Rapidly Oscillating Perturbation
N. F. Valeev and Ya. T. Sultanaev p. 271 abstract
On Rough Diffeomorphisms with Expanding Attractors or Contracting Repellers
of Codimension One
V. Z. Grines and E. V. Zhuzhoma p. 274 abstract
Some Necessary Conditions for the Normality of Differential Operators
Z. I. Ismailov and H. Karatash p. 277 abstract
On the Bessel Property of Systems of Root Functions of a Differential Operator
V. M. Kurbanov p. 280 abstract
On the Method of Coordinate Transformations for the Numerical Solution
of Singularly Perturbed Systems of Ordinary Differential Equations
V. D. Liseikin p. 283 abstract
Mathematical Physics
New Integral Relationships for Analytical Solutions to Parabolic Equations
in Noncylindrical Domains
E. M. Kartashov p. 288 abstract
Control Theory
The Existence of an Infinite System of Notions of Noncooperative Equilibrium
E. R. Smol’yakov p. 293 abstract
The Optimal Conditions for Averaged Problems with Time-Dependent Parameters
A. M. Tsirlin p. 297 abstract
Computer Science
Statistical Interpretation of Weber’s Law of Human Hearing Perception Thresholds
V. E. Antsiperov, Yu. V. Gulyaev, and S. A. Nikitov p. 300 abstract
The Solution to the Problem of Optimal Synthesis of Information Graphs
for Background Problems of Information Search
E. E. Gasanov p. 304 abstract
Approximation and Extrapolation of Tabulated Functions
N. N. Kalitkin and L. V. Kuz’mina p. 306 abstract
A Dynamic Model of Competition between Political Forces
A. P. Mikhailov, L. F. Yukhno, and A. I. Maslov p. 311 abstract
Inverse Problem for Articulatory Control
A. S. Leonov and V. N. Sorokin p. 314 abstract
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