and Its Application to an Interior Dirichlet Problem
for the Homogeneous Stationary Schrödinger Equation
u + q(x)u = 0
Contents
Doklady Mathematics
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.
Mathematics
A Weighted Sobolev Theorem for Spatial and Spherical Potentials
in Lebesgue Spaces with Variable Exponents
B. G. Vakulov and S. G. Samko p. 487 abstract
On Integral Operators with Monotone Kernels
L. E. Persson, V. D. Stepanov, and E. P. Ushakova p. 491 abstract
Bodies of Minimal Aerodynamic Resistance in Dilute Media
with Thermal Motion of the Particles
A. Yu. Plakhov p. 495 abstract
A Counterexample to an Illumination Conjecture
V. G. Boltyanskii p. 499 abstract
Strong Invariance Principle for Dependent Multi-indexed Random Variables
A. V. Bulinski and A. P. Shashkin p. 503 abstract
Spectral Stability of Nonnegative Self-Adjoint Operators
V. I. Burenkov and P. D. Lamberti p. 507 abstract
On the Variational Dirichlet Problem for Degenerate Elliptic Operators
S. A. Iskhokov and A. Ya. Kuzhmuratov p. 512 abstract
The Nelson–Erdös–Hadwiger Problem and Embeddings
of Random Graphs into Geometric Ones
A. M. Raigorodskii p. 516 abstract
A Family of Compact Approximations and Related Multioperator Approximations
of a Given Order
A. I. Tolstykh p. 519 abstract
Sharp Jackson-Type Inequalities for Approximations of Classes of Convolutions
O. L. Vinogradov p. 525 abstract
Value Distribution of Quasimeromorphic Mappings on Polarizable Carnot Groups
S. K. Vodop’yanov and I. G. Markina p. 530 abstract
On Operator Estimates in Homogenization Theory
V. V. Zhikov p. 535 abstract
Algebras of Vector Fields over the Quaternions
S. V. Lyudkovskii p. 539 abstract
Bases in Invariant Subspaces
A. S. Krivosheev p. 543 abstract
An Upper Bound for the Sharp Constant in the Sobolev Inequality
and Its Application to an Interior Dirichlet Problem
for the Homogeneous Stationary Schrödinger Equation u + q(x)u = 0
Sh. M. Nasibov p. 547 abstract
Parabolic Functional Differential Equations with a Controlled Transformation
of Spatial Arguments
A. V. Razgulin p. 551 abstract
An Extremal Property of Classical Orthogonal Polynomials
V. D. Stepanov p. 555 abstract
Elliptic Boundary Value Problems for Generalized Cauchy–Riemann Systems
G. N. Khimshiashvili p. 558 abstract
Weighted Sobolev Spaces and Quasiconformal Mappings
S. K. Vodop’yanov and A. D. Ukhlov p. 561 abstract
Remarks on Eigenvalues of Real Matrices
V. V. Kozlov p. 567 abstract
On 
-Regularity of Solutions to Uniformly Elliptic Systems
of Linear Partial Differential Equations with Discontinuous Coefficients
and Right-Hand Sides
A. P. Kopylov p. 570 abstract
Asymptotic Estimates for Approximative and Entropy Numbers
of the One-Weight Riemann–Liouville Operator
E. N. Lomakina and V. D. Stepanov p. 574 abstract
An Inhomogeneous System of Convolution Equations in Complex Domains
V. V. Napalkov and S. G. Merzlyakov p. 576 abstract
Well-Posedness of the Mixed Problem for Hyperbolic Operators
with Characteristics of Variable Multiplicity
E. V. Radkevich p. 578 abstract
The Koenigs Embedding Problem for Linear Fractional Maps of Operator Balls
V. A. Khatskevich and V. A. Senderov p. 584 abstract
Sharp Inequalities between Best Approximations and Moduli of Continuity
in the Hardy Space Hp with 1 
p 2
M. Sh. Shabozov and U. Gulkhodzha p. 587 abstract
On Krein Graphs without Triangles
A. L. Gavrilyuk and A. A. Makhnev p. 591 abstract
Stabilization of One-Dimensional Flows of Radiative and Reactive Viscous Gas
for a General Rate of Reaction
A. A. Zlotnik and B. Ducomet p. 595 abstract
Globally and Locally Convex Polyhedra with Respect to an Arbitrary Body
V. K. Ionin p. 601 abstract
The Stability and Instability of Surfaces with Prescribed Mean Curvature
V. A. Klyachin p. 603 abstract
On Strong Stability of Classes of Solutions to Elliptic Systems
of Linear Partial Differential Equations
A. P. Kopylov and D. A. Slutsky p. 606 abstract
Local Behavior of Solutions to Quasilinear Parabolic Equations with Absorption
I. I. Skrypnik p. 609 abstract
Mathematical Physics
Studying Boundary Value Problems by Double Factorization
V. A. Babeshko and O. M. Babeshko p. 612 abstract
The Dynamics of Interaction by the Money–Commodities Principle
Yu. S. Kolesov p. 616 abstract
Balanced Characteristic Method for Systems of Hyperbolic Conservation Laws
V. M. Goloviznin p. 619 abstract
On the Possibility of Using Ferromagnetic Spheres in Storage Devices
E. A. Sheina, V. V. Ternovsky, and M. M. Khapaev p. 624 abstract
Integral Transformations and the Factorization Method in Boundary Value Problems
V. A. Babeshko and O. M. Babeshko p. 630 abstract
To the Piston Problem
V. V. Kozlov p. 634 abstract
Computer Science
Choice Theory and the Problem of Web Searches
V. S. Levchenkov p. 638 abstract
Computational Complexity of Problems Related to DNA Sequencing
by Hybridization
V. Yu. Popov p. 642 abstract
Control Theory
Solution of a Generalized Lur’e Problem for Two Classes of Control Systems
A. A. Zevin p. 645 abstract
Choice of a Solution in Bimatrix Supergames
V. S. Levchenkov p. 649 abstract
Time Optimal Return of a Dynamic Object with the Required Velocity
L. D. Akulenko and A. P. Koshelev p. 653 abstract
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