Contents
Vol. 72, No. 1, 2005
English language translation of the journal is available from Pleiades Publishing, Inc.
Doklady Mathematics ISSN 1064-5624.
Translated from Doklady Akademii Nauk, Volume 403, Nos. 1-6, 2005
Volume 72, July-August Eng./Russ.
Mathematics
A Weighted Sobolev Theorem for Spatial and Spherical Potentials in Lebesgue Spaces with Variable Exponents
B. G. Vakulov and S. G. Samko 487 7 On Integral Operators with Monotone Kernels
L E. Persson, V. D. Stepanov, and E. P. Ushakova 491 11 Bodies of Minimal Aerodynamic Resistance in Dilute Media
with Thermal Motion of the Particles
A. Yu. Plakhov 495 15 A Counterexample to an Illumination Conjecture
V. G. Boltyanskii 499 151 Strong Invariance Principle for Dependent Multi-indexed Random Variables
A. V. Bulinski and A. P. Shashkin 503 155 Spectral Stability of Nonnegative Self-Adjoint Operators
V. I. Burenkov and P. D. Lamberti 507 159 On the Variational Dirichlet Problem for Degenerate Elliptic Operators
S. A. Iskhokov and A. Ya. Kuzhmuratov 512 165 The Nelson-Erdos-Hadwiger Problem and Embeddings
of Random Graphs into Geometric Ones
A. M. Raigorodskii 516 169 A Family of Compact Approximations and Related Multioperator Approximations
of a Given Order
A.I.Tolstykh 519 172 Sharp Jackson-Type Inequalities for Approximations of Classes of Convolutions
O. L Vinogradov 525 295 Value Distribution of Quasimeromorphic Mappings on Polarizable Carnot Groups
S. K. Vodop'yanov and I. G. Markina 530 300 On Operator Estimates in Homogenization Theory
V. V. Zhikov 535 305 Algebras of Vector Fields over the Quaternions
S. V. Lyudkovskii 539 309 Bases in Invariant Subspaces
A. S. Krivosheev 543 439 An Upper Bound for the Sharp Constant in the Sobolev Inequality
and Its Application to an Interior Dirichlet Problem for the Homogeneous Stationary Schrodinger Equation
Sh. M. Nasibov 547 443 Parabolic Functional Differential Equations with a Controlled Transformation
of Spatial Arguments
A.V.Razgulin 551 448
An Extremal Property of Classical Orthogonal Polynomials
V. D. Stepanov 555 452 Elliptic Boundary Value Problems for Generalized Cauchy-Riemann Systems
G. N. Khimshiashvili 558 455 Weighted Sobolev Spaces and Quasiconformal Mappings
S. K. Vodop'yanov and A. D. Ukhlov 561 583 Remarks on Eigenvalues of Real Matrices
V. V. Kozlov 567 589 On -Regularity of Solutions to Uniformly Elliptic Systems
of Linear Partial Differential Equations with Discontinuous Coefficients and Right-Hand Sides
A. P. Kopylov 570 593 Asymptotic Estimates for Approximative and Entropy Numbers
of the One-Weight Riemann-Liouville Operator
E. N. Lomakina and V D. Stepanov 574 598 An Inhomogeneous System of Convolution Equations in Complex Domains
V. V. Napalkov and S. G. Merzlyakov 576 600 Well-Posedness of the Mixed Problem for Hyperbolic Operators
with Characteristics of Variable Multiplicity
E. V. Radkevich 578 602 The Koenigs Embedding Problem for Linear Fractional Maps of Operator Balls
V. A. Khatskevich and V. A. Senderov 584 607 Sharp Inequalities between Best Approximations and Moduli of Continuity
in the Hardy Space Hp with
M. Sh. Shabozov and U. Gulkhodzha 587 610 On Krein Graphs without Triangles
A. L. Gavrilyuk and A. A. Makhnev 591 727 Stabilization of One-Dimensional Flows of Radiative and Reactive Viscous Gas
for a General Rate of Reaction
A. A. Zlotnik and B. Ducomet 595 731 Globally and Locally Convex Polyhedra with Respect to an Arbitrary Body
V. K. lonin 601 737 The Stability and Instability of Surfaces with Prescribed Mean Curvature
V. A. Klyachin 603 739 On Strong Stability of Classes of Solutions to Elliptic Systems
of Linear Partial Differential Equations
A. P. Kopylov and D. A. Slutsky 606 742 Local Behavior of Solutions to Quasilinear Parabolic Equations with Absorption
I. I. Skrypnik 609 745
Mathematical Physics
Studying Boundary Value Problems by Double Factorization
V. A. Babeshko and O. M. Babeshko 612 20 The Dynamics of Interaction by the Money-Commodities Principle
Yu. S. Kolesov 616 313 Balanced Characteristic Method for Systems of Hyperbolic Conservation Laws
V. M. Goloviznin 619 459 On the Possibility of Using Ferromagnetic Spheres in Storage Devices
E. A. Sheina, V. V. Ternovsky, and M. M. Khapaev 624 465
Integral Transformations and the Factorization Method in Boundary Value Problems
V. A. Babeshko and O. M. Babeshko 630 748 To the Piston Problem
V. V. Kozlov 634 752
Computer Science
Choice Theory and the Problem of Web Searches
V. S. Levchenkov 638 178 Computational Complexity of Problems Related to DNA Sequencing
by Hybridization
V. Yu. Popov 642 316
Control Theory
Solution of a Generalized Lur'e Problem for Two Classes of Control Systems
A. A. Zevin 645 25 Choice of a Solution in Bimatrix Supergames
V. S. Levchenkov 649 29 Time Optimal Return of a Dynamic Object with the Required Velocity
L. D. Akulenko and A. P. Koshelev 653 614
