by a Leray-
Model
Contents
Doklady Mathematics
Vol. 71, 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 400, Nos. 1–6, 2005
Volume 71, January–February.
Mathematics
Spherical Potentials in Weighted Hölder Spaces of Variable Order
B. G. Vakulov p. 1 abstract
Description of Composition Operators of Sobolev Spaces
S. K. Vodop’yanov p. 5 abstract
Optimal Boundary Control of Displacements at Two Ends
of a String and the Corresponding Distribution
of the String Total Energy
V. A. Il’in and E. I. Moiseev p. 10 abstract
On a Universal Monitor Metric for Numerical Grid Generation
V. D. Liseikin p. 15 abstract
Recognition and Tabulation of 3-Manifolds
S. V. Matveev p. 20 abstract
On the Smoothness of Solutions to Parabolic Equations
with a Varying Direction of Evolution
S. V. Popov p. 23 abstract
A Right Normed Basis for Free Lie Algebras
E. S. Chibrikov p. 26 abstract
On the Stability of Periodic Points in the Neighborhoods of Homoclinic Points
E. V. Vasil’eva p. 29 abstract
The Margrabe Formula and Quantile Hedging of Life Insurance Policies
A. V. Melnikov, Yu. V. Romaniuk, and V. S. Skornyakova p. 31 abstract
Direct and Inverse Theorems for Least Deviations from the Root Functions
of Regular Boundary Value Problems
G. V. Radzievskii p. 35 abstract
Power-Logarithmic Asymptotics on an Angle Domain of Analytic Functions
A. P. Soldatov p. 39 abstract
Asymptotic Behavior of Solutions to Semilinear Parabolic Equations
in a Semi-Infinite Cylinder
I. V. Filimonova p. 43 abstract
On a Problem of Gowers
I. D. Shkredov p. 46 abstract
Hamiltonian Systems of Negative Curvature are Hyperbolic
A. A. Agrachev and N. N. Shcherbakova p. 49 abstract
Random Polynomials and Geometric Probability
D. N. Zaporozhets p. 53 abstract
Absolute Convergence of the Eigenfunction Expansions
of Differential and Integral Operators
V. V. Kornev and A. P. Khromov p. 58 abstract
The Problem Concerning the Steady-State Vibrations of a Semi-Infinite Cylinder
with a Cubical Elastic Structure and Related Self-Adjoint Quadratic Pencils
A. G. Kostyuchenko and M. G. Argeta p. 62 abstract
Inverse Problems for Kinetic Equations: Algebraic and Differential Identities
M. V. Neshchadim p. 68 abstract
The Theory of Connections and the Problem of the Existence
of Bäcklund Transformations for Second-Order Evolution Equations
A. K. Rybnikov p. 71 abstract
The Analytic Dependence of the Eigenvalue and Eigenfunction
of the Sturm–Liouville Problem on Its Integrable Potential
V. A. Vinokurov and V. A. Sadovnichii p. 75 abstract
Description of Extensions of Families of Continuous Functions
by Means of Order Boundaries
V. K. Zakharov p. 80 abstract
Problem for an Ultrahyperbolic Equation in a Half-Space
with One Condition Specified on the Boundary Hyperplane
D. P. Kostomarov p. 84 abstract
On the Number of Zeros of Derivatives of the Riemann Xi Function
on the Critical Line
I. S. Rezvyakova p. 89 abstract
Trajectory Attractor Approximation of the 3D Navier–Stokes System
by a Leray- Model
M. I. Vishik, E. S. Titi, and V. V. Chepyzhov p. 92 abstract
Optimal Boundary Control of a Displacement at One End of a String
with the Second End Free and the Corresponding Distribution
of the String Total Energy
V. A. Il’in and E. I. Moiseev p. 96 abstract
Solution to Gellerstedt’s Problem with Nonlocal Boundary Conditions
N. I. Ionkin and T. E. Moiseev p. 101 abstract
The Generalized Chernoff Theorem and Randomized Feynman Formula
O. O. Obrezkov, O. G. Smolyanov, and A. Truman p. 105 abstract
On the Theory of a Class of Two-Dimensional Nonmodel Integral Volterra-Type Equations
with Boundary Supersingularities in Kernels
N. Rajabov and L. Rajabova p. 111 abstract
Integral Operators with Homogeneous Kernels in the Space BMOk
A. V. Gil’ and N. K. Karapetyants p. 115 abstract
An Optimal Boundary Control of an Elastic Force at One End of a String
with the Second End Fixed and the Corresponding Distribution
of the String Total Energy
V. A. Il’in p. 119 abstract
Classification of Methods of Approximate Projection onto a Stable Manifold
A. A. Kornev p. 124 abstract
A Comparison of Interval and Ellipsoidal Error Bounds for Vector Operations
A. I. Ovseevich, Yu. V. Taraban’ko, and F. L. Chernous’ko p. 127 abstract
Kinetic Equations and Problems of the Chapman–Enskog Projection
E. V. Radkevich p. 131 abstract
Mathematical Physics
Quaternion Algebra Is the Most Adequate for Describing the Nature of Spin
M. A. Mikaelyan p. 135 abstract
Absolute and Relative Choreographies in the Problem of the Motion
of Point Vortices in a Plane
A. V. Borisov, A. A. Kilin, and I. S. Mamaev p. 139 abstract
Isomorphism of the Steklov–Lyapunov System and a Potential Flow
on the Surface of a Sphere
A. V. Tsiganov p. 145 abstract
Exact Solutions to Nonlinear Systems of Diffusion Equations for Reactive Media
and Mathematical Biology
A. D. Polyanin p. 148 abstract
A Stability Estimate of the Solution to the Problem of Determining Dielectric Permittivity
and Electric Conductivity
V. G. Romanov p. 154 abstract
Control Theory
Robust Stability of Linear Discrete Systems in Which Uncertainty Is Bounded
with Respect to an Anisotropy Norm
A. P. Kurdyukov and E. A. Maximov p. 160 abstract
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