Contents
Doklady Mathematics
Vol. 71, No. 3, 2005
English language translation of the journal is available from Pleiades Publishing, Inc.
Doklady Mathematics ISSN 1064–5624.
Translated from Doklady Akademii Nauk, Volume 402, Nos. 1–6, 2005
Volume 71, May–June.
Mathematics
The Timelike Cauchy Problem and the Inverse Problem
A. Kh. Amirov and M. Yamamoto p. 325 abstract
Bayes Estimates for Recognition Quality on Finite Sets of Events
V. B. Berikov and G. S. Lbov p. 327 abstract
Lyapunov Functionals of Symmetric Flows of a Viscous Compressible Barotropic Fluid
with a Free Surface for a General Body Force
A. A. Zlotnik and B. Ducomet p. 331 abstract
Optimization of a Boundary Control of an Elastic Force at One End
of a String with the Second End Free
V. A. Il’in and E. I. Moiseev p. 337 abstract
On Two Theorems of M. A. Krasnosel’skii
A. I. Perov p. 342 abstract
On the Hyperbolicity of Solutions with Irrational Periods
to Some Functional Differential Equations
A. L. Skubachevskii and H.-O. Walther p. 346 abstract
The Solution to a Linear Differential Equation Is an Analytic Function
of the Data in the Problem
V. A. Vinokurov p. 349 abstract
Trajectory Attractor of the Nonautonomous Ginzburg–Landau Equation
M. I. Vishik and V. V. Chepyzhov p. 353 abstract
Optimization of a Boundary Control of an Elastic Force at Two Ends of a String
V. A. Il’in and E. I. Moiseev p. 357 abstract
Hyperbolic Quantum Mechanics
A. Yu. Khrennikov p. 363 abstract
The Structure of Generalized Sets of Attraction and Extension Constructions
A. G. Chentsov p. 366 abstract
On the Consistency of Quadratic and Bilinear Systems
A. V. Arutyunov p. 370 abstract
Different Representations and Equivalent Norms for Nikol’skii–Besov
and Lizorkin–Triebel Spaces of Generalized Mixed Smoothness
D. B. Bazarkhanov p. 373 abstract
Decomposition of the Phase Space of a Fuzzy System of Differential Equations
A. A. Martynyuk and V. I. Slyn’ko p. 378 abstract
On the Cauchy Problem for Parabolic Equations with Nonlocal High-Order Terms
A. B. Muravnik p. 383 abstract
On Generalized Spectral Shift Functions and a Relation between the Krein
and Gel’fand–Levitan Trace Formulas
V. A. Sadovnichii and V. E. Podol’skii p. 386 abstract
Strictly Singular Embeddings in L1 + L
V. M. Sanchez, E. M. Semenov, and F. L. Hernandez p. 388 abstract
Construction of Diffusions on Sets of Mappings from an Interval
to Compact Riemannian Manifolds
O. G. Smolyanov, H. von Weizsaecker, and O. Wittich p. 391 abstract
Structure of Best Diophantine Approximations
A. D. Bruno p. 396 abstract
The Asymptotic Behavior of Solutions to Systems
of Neutral-Type Functional-Differential Equations
V. V. Vlasov and A. V. Kurkina p. 401 abstract
Some Applications of the Relative Distance of M. A. Lavrent’ev
V. M. Miklyukov p. 404 abstract
On Five-Dimensional Noncompact Homogeneous Einstein Manifolds
Yu. G. Nikonorov p. 408 abstract
Nonuniqueness of Solutions to the Regularized Trace System
V. A. Sadovnichii and V. E. Podol’skii p. 411 abstract
On a Family of Integrable Systems on a Sphere Possessing a Cubic Integral of Motion
A. V. Tsiganov p. 413 abstract
The Continuity of Reduced Modulus and Transfinite Diameter
V. V. Aseev and O. A. Lazareva p. 416 abstract
Stable Approximation of Nonsmooth Solutions to Ill-Posed Problems
V. V. Vasin p. 419 abstract
Optimization of a Combined Boundary Control of Oscillations of a String:
An Elastic Force at One End and a Displacement at the Other End
V. A. Il’in and E. I. Moiseev p. 423 abstract
Some Representation Formulas for Solutions to a Three-Dimensional Singular Elliptic Equation
L. G. Mikhailov and A. Mukhsinov p. 429 abstract
Six-Dimensional Einstein Solvmanifolds
E. V. Nikitenko and Yu. G. Nikonorov p. 434 abstract
On Colorings of Hypergraphs
D. A. Shabanov p. 438 abstract
Necessary Extremum Conditions without Making a priori Normality Assumptions
A. V. Arutyunov and F. L. Pereira p. 442 abstract
Generalized Continued Fraction Algorithm
A. D. Bruno p. 446 abstract
Identification of Penalty Constants in Exact Penalty Function Methods
I. I. Eremin p. 451 abstract
Groups Possessing Automorphisms of Prime Orders with Centralizers of Bounded Rank
V. D. Mazurov and E. I. Khukhro p. 454 abstract
Pseudodifferential Operators on Manifolds with Singularities and Localization
V. E. Nazaikinskii, A. Yu. Savin, B. Yu. Sternin, and B.-W. Schulze p. 457 abstract
Probabilistic Measurement Models with Noncommuting and Commuting Observables
O. G. Smolyanov and A. Yu. Khrennikov p. 461 abstract
Mathematical Physics
Singular Perturbation of the Dirichlet Problem in an Infinite Cylinder
M. Yu. Planida p. 466 abstract
Instability of Distributed Nonconservative Systems Caused by Weak Dissipation
O. N. Kirillov and A. P. Seyranian p. 470 abstract
Computer Science
A Theory of Equilibria Taking into Account Interests not Related to Conflicts
E. R. Smol’yakov p. 476 abstract
An Improved Factorization of Parabolic Schemes
N. N. Kalitkin p. 480 abstract
On Sequences of Sigma-Phi Extensions for Sets of Incorrect Recognition Algorithms
Z. M. Shibzukhov p. 484 abstract
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