Contents
Vol. 72, No. 3, 2005
English language translation of the journal is available from Pleiades Publishing, Ine.
Doklady Mathematics ISSN 1064-5624.
Translated from Doklady Akademii Nauk, Volume 405, Nos. 1-6, 2005
Volume 72, November-December Eng./Russ.
Mathematics
Foundations of the Theory of Mappings with Bounded Distortion on Carnot Groups
S.K.Vodop'yanov 829 7 On Rearrangement Invariant Hull of Generalized Sobolev Spaces
M. L Gol'dman 834 13 Asymptotically Homogeneous Generalized Functions
in Spherical Representation and Applications
Yu. N. Drozhzhinov and B. I. Zav 'yalov 839 18 Analogue of the First Boundary Value Problem for a Nonlinear Equation
with Nonpower Degeneracy and a Generalized Right-Hand Side
S. A. Iskhokov 843 22 Theory of Connections and Backlund Transformations for Second-Order
Partial Differential Equations of General Type
A. K. Rybnikov 846 26 Grid Approximation of Parabolic Convection-Diffusion Equations
with Piecewise Smooth Initial Conditions
G. I. Shishkin 850 30 Piecewise Separating Transformation and Extremal Problems with Free Poles
A.K.Bakhtin 854 151 Classes of Sobolev Mappings on Carnot-Caratheodory Spaces:
Different Norms and Variational Problems
S. K. Vodop'yanov and N. N. Romanovskii 857 154 A Maximal Version of the Multidimensional Khinchin-Ostrovskii Theorem
and Its Applications
V. I. Gavrilov and A. V. Subbotin 861 158 Existence and Stability of Families of Periodic Solutions in Superlinear
and Sublinear Hamiltonian Systems
A.A.Zevin 864 161 Minimax Values and Parabolic Equations with Indefinite Nonlinearity
Ya. Sh. Il'yasov 869 166 Asymptotic Integration of Differential Equations with Large High-Frequency Terms
V. B. Levenshtam 872 169 New Estimate for the Spectral Function of Self-Adjoint Extension
in L2(R)of the Sturm-Liouville Operator with a Uniformly Locally Summable Potential
I. V. Sadovnichaya 876 173 Unified Asymptotic Analysis of Interpolation Errors for Optimal Meshes
Yu. V. Vassilevski and A. Agouzal 879 295 Differential Invariants of Generic Hyperbolic Monge-Ampere Equations
A. M. Vinogradov, M. Marvan, and V. A. Yumaguzhin 883 299
Integrability of Mappings with Bounded Distortion on Carnot Groups
D. V. Isangulova 886 302 Properties of Choice Functions Generated by a Binary Relation on Compact Subsets
N. S. Kukushkin 891 307 Artificial Boundary Conditions for Stokes and Navier-Stokes Systems
in Layer-Like Domains
S. A. Nazarov and M. Specovius-Neugebauer 895 311 On a Generalization of Szemeredi's Theorem
I.D.Shkredov 899 315 On Second-Order Derivatives of Convex Functions
on Infinite-Dimensional Spaces with Measures
V. I. Bogachev and B. Goldys 903 439 Generalized Differences and General Hypersingular Integrals
E. G. Gots and L. N. Lyakhov 908 444 Stability in the Liouville Theorem on Heisenberg Groups
D.V Isangulova 912 448 Resolvent Matrices and Characteristic Functions of Extensions
of Isometric Operators
M. M. Malamud and V. I. Mogilevskii 917 454 Nonlinear Averaging of Entropy in Number Theory
and a Generalized Law of Large Numbers
V. P. Maslov 925 462 Boolean Circuits with a Bounded Depth of Branching
D. Yu. Cherukhin 930 467 Regularity and Global Bounds of Densities of Invariant Measures
of Diffusion Processes
V. I. Bogachev, N. V. Krylov, and M. Rockner 934 583 A New Approach to the Study of Nonlinear Singular Integro-Differential
and Integral Equations
G. M. Magomedov, A. S. Lugueva, and M. S. Magomedov 939 588 Refinement of Zipf's Law for Frequency Dictionaries
V. P. Maslov 942 591 Periodic Solutions to the Dirichlet Boundary Value Problem
for a Quasilinear Parabolic Equation with Low Diffusivity
O. E. Omel'chenko 946 595 Dynamical Systems and Functional Equations Related to Boundary Problems
for Hyperbolic Differential Operators
B. P. Paneah 949 598 Construction of Algebraic Extensions of Lie Skew Fields
S. T. Sadetov 954 604 Pattern Recognition from Interpoint Distances
A. M. Shurygin 959 609 The Equational Closure Operator
S. S. Marchenkov 962 727 Carleman Estimates for Hyperbolic Equations
V. G. Romanov 964 730 The 1966 Gelfand-Kirillov Conjecture is True after Finite Extensions of Skew Fields
S. T. Sadetov 969 735 Degenerate Parabolic System of Equations for Three-Phase Filtration
V. V Shelukhin 974 740
Mathematical Physics
Special Soliton Solutions to the Toda Lattice Hierarchy
S.P.Popov 978 176 Boundary and Control Problems for a Stationary Magnetohydrodynamic Model
of a Viscous Heat-Conducting Fluid
G. V.Alekseev 981 744
Computer Science
A Relation between the Depth of a Local Minimum and the Probability of Its Detection in the Generalized Hoptield Model
B. V. Kryzhanovskii, B. M. Magomedov, and A. L Mikaelyan 986 320
Control Theory
Optimal Evolution of a Dynamic System under High-Frequency Disturbances L. D. Akulenko
Stabilization of Multivariable Sampled-Data Systems with Time Delay B. P. Lampe and E. N. Rosenwasser
Adaptive Tuning of Bifurcation Regimes for Nonlinear Systems with Nonunit Relative Degree
D. V. Efimov
Author Index to Volume 71, 2005 Author Index to Volume 72, 2005 Contents of Volumes 71 and 72, 2005
991 995
998
1002 1004 1006
35 180
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