for Potentials Containing
-Functions
Contents
Doklady Mathematics
Vol. 63, No. 1, 2001
English language translation of the journal is available from MAIK “Nauka / Interperiodica” (Russia).
Doklady Mathematics ISSN 1064–5624.
Translated from Doklady Akademii Nauk, Volume 376, Nos. 1–6, 2001
Volume 63, January–February.
Mathematics
Nonnegativity and Monotonicity of Green’s Functions of Second-Order Elliptic Equations
and Their Applications to Coercive Solvability of Nonlinear Elliptic Systems in Rn
K. Kh. Boimatov and G. Dzhangibekov p. 1 abstract
Regularization and Discrete Approximation of Ill-Posed Problems
in the Space of Functions of Bounded Variation
V. V. Vasin p. 5 abstract
On Lower Estimates of the Riemann Zeta Function
A. A. Karatsuba p. 9 abstract
On the Properties of Systems of Integral Equations with Cauchy Operators
P. A. Krutitskii p. 11 abstract
On Some Infinite Split (B, N)-Pairs of Rank 1
A. I. Sozutov and N. M. Suchkov p. 15 abstract
Differentiability of the Invariant Measures and Transition Probabilities of Singular Diffusions
V. I. Bogachev, N. V. Krylov, and M. Röckner p. 18 abstract
Solvability of Differential Inclusions in Fixed Sets of Functions
S. A. Brykalov p. 22 abstract
On Functions with Vanishing Integrals over Ellipsoids
V. V. Volchkov p. 25 abstract
Inversion of Some Potential-Type Operators Whose Kernels Have Singularities
on the Sphere
V. A. Nogin and A. P. Chegolin p. 28 abstract
Multiplicative Inequalities with Exact Constants for Operators Satisfying p-Convexity-
or p-Concavity-Type Conditions
T. V. Tararykova p. 32 abstract
Riesz Potentials in the Space of Rectangular Matrices and Iso-Huygens Deformations
of the Cayley–Laplace Operator
S. P. Khekalo p. 35 abstract
Boundary Control of the String Oscillation Process at Two Ends under Conditions
of the Existence of a Finite Energy
V. A. Il’in p. 38 abstract
On the Existence of Multiple Positive Solutions for One Class
of Nonlinear Neumann Boundary Value Problems
Ya. Sh. Il’yasov and T. Runst p. 42 abstract
Extension of the Geometric Synthesis Theory of Optimal Stationary Smooth Systems
to Infinite Dimension
G. V. Kondrat’ev and V. V. Kondrat’ev p. 45 abstract
Asymptotics of an Arithmetic Sum
A. I. Pavlov p. 48 abstract
A Topological Version of the Program Iteration Method in an Abstract Control Problem
A. G. Chentsov p. 52 abstract
Homogeneous Nearly Kähler f-Manifolds
V. V. Balashchenko p. 56 abstract
Continuous Feedback in Problems of Conflict Control
S. A. Brykalov p. 59 abstract
The Asymptotic Behavior of Eigenvalues and Eigenfunctions and a Trace Formula
for Potentials Containing -Functions
V. A. Vinokurov and V. A. Sadovnichii p. 62 abstract
On Semigroups Preserving the Logarithmic Concavity of Functions
A. V. Kolesnikov p. 66 abstract
On the Uniqueness of an R
-Generalized Solution to Boundary Value Problems
with Inconsistently Degenerate Initial Data
V. A. Rukavishnikov p. 68 abstract
Difference Schemes for Filtration Consolidation Problems
A. A. Samarskii, P. N. Vabishchevich, and F. Lisbona p. 71 abstract
The Stein–Tikhomirov Method and the Nonclassical Central Limit Theorem
Sh. K. Formanov p. 75 abstract
Estimates for the Real Structural Stability Radius of Linear Dynamical Systems
N. A. Bobylev, A. V. Bulatov, and Ph. Diamond p. 78 abstract
The Cases Where the Solution to the Dirichlet Problem for the Laplace Equation
in a Polygon is a Polynomial
E. A. Volkov p. 82 abstract
Surjectivity of a Convolution Operator Supported at One Point in the Space
of Functions Holomorphic on an Arbitrary Set in 
S. V. Znamenskii and E. A. Znamenskaya p. 85 abstract
A Method for a Spectral Separation of Variables for Singularly
Degenerating Elliptic Differential Operators
I. S. Lomov p. 88 abstract
Optimal Lattice Quadrature and Cubature Formulas
Kh. M. Shadimetov p. 92 abstract
Compactness of Embeddings of Weighted Sobolev Spaces on a Domain
with an Irregular Boundary
O. V. Besov p. 95 abstract
Stability in the Poisson Formula for Harmonic Functions
A. P. Kopylov p. 101 abstract
Stability of Three-Layer Difference Schemes on Time-Nonuniform Grids
A. A. Samarskii, P. N. Vabishchevich, E. L. Makarevich, and P. P. Matus p. 106 abstract
Symmetrization and Uniqueness of a Variational Solution to a Free Boundary Value Problem
E. A. Shcherbakov p. 109 abstract
Mathematical Physics
Integro-Differential Indicator of Inhomogeneity from Incomplete Data
D. S. Anikonov and V. G. Nazarov p. 112 abstract
On the Dynamics of an Ideal Fluid with a Free Surface
A. I. Dyachenko p. 115 abstract
The Kovalevskaya–Painlevé Test of the Shallow Water Equations
with the Use of the Maple Package
D. M. Klimov, V. G. Baidulov, and V. A. Gorodtsov p. 118 abstract
On One Class of Nonlinear Ginzburg–Landau–Schrödinger Evolution Equation
Sh. M. Nasibov p. 123 abstract
A Proof of the Prigogine Conjecture about Irreducibility of the Liouville Dynamics
to the Hamiltonian Dynamics
O. G. Smolyanov and M. O. Smolyanova p. 126 abstract
Control Theory
The Entropy of NP-Complete Problems
V. S. Levchenkov p. 130 abstract
Frequency Conditions for Robust Stability of a Class of Switched Systems
V. A. Brusin p. 133 abstract
Computer Science
A Method for Computing the Eigenvalues of Prolate Spheroidal Functions of Order Zero
S. N. Khonina, S. G. Volotovskii, V. A. Soifer p. 136 abstract
Concave Programming and Numerical Methods of Searching
for Real Solutions to Nonlinear Systems
V. P. Bulatov and T. A. Belykh p. 139 abstract
A Method of Simplex Immersions in Convex Programming
T. I. Belykh and V. P. Bulatov p. 143 abstract
Dual Problems of Mathematical Programming: The Global Optimization Methods
V. P. Bulatov p. 145 abstract
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