Contents
Doklady Mathematics


Vol. 73, No. 2, 2006

English language translation of the journal is available from Pleiades Publishing, Inc.
Distributed worldwide by Springer. Doklady Mathematics ISSN 1064–5624.

Translated from Doklady Akademii Nauk, Volume 407, Nos. 1–6, 2006


Volume 73, March–April.

Mathematics

Anomalous Dependence of the Eigenvalues of the Sturm–Liouville Problem
on the Interval Length

L. D. Akulenko and S. V. Nesterov p. 161  abstract

Complex-Order Spherical Potentials in Spaces
of Variable Generalized Hölder Order

B. G. Vakulov p. 165  abstract

Iterated Differential Forms: Tensors

A. M. Vinogradov and L. Vitagliano p. 169  abstract

Jets Based on Shurygin’s Schemes

V. N. Monakhov and E. A. Raenko p. 172  abstract

Nonsymmetric Approximations in Spaces of Continuous Functions

A. V. Pokrovskii p. 175  abstract

Homogenization of Nonlinear Equations and Variational Inequalities
with Obstacles

G. V. Sandrakov p. 178  abstract

Iterated Differential Forms: Riemannian Geometry Revisited

A. M. Vinogradov and L. Vitagliano p. 182  abstract

Restricted Infinitesimal Hilbert’s Sixteenth Problem

A. A. Glutsyuk and Yu. S. Il’yashenko p. 185  abstract

The Boundary Behavior of Conformal Mappings with Quasiconformal Extensions

V. Ya. Gutlyanskii and O. Martio p. 190  abstract

Necessary and Sufficient Conditions for the Stabilization of the Solution
to the Dirichlet Problem for the Heat Equation

V. N. Denisov p. 193  abstract

New Classes of Functions Related to General Families of Sets

V. K. Zakharov p. 197  abstract

Problems with Asymptotic Initial Data for Systems
of Ordinary Differential Equations

L. D. Kudryavtsev p. 202  abstract

On Some Characteristic Point of a Polyhedron Class in Symmetric Spaces

V. S. Roublev and N. B. Chaplygina p. 205  abstract

Continuous Strategies in Differential Games with Nonconvex Target Sets

S. A. Brykalov p. 207  abstract

Homoclinic Tangencies of Arbitrarily High Order
in Conservative Two-Dimensional Maps

S. V. Gonchenko, D. V. Turaev, and L. P. Shil’nikov p. 210  abstract

Asymptotic Behavior of the Solution to the Cauchy Problem
for a Hamilton–Jacoby Equation Depending on a Small Parameter

A. R. Danilin p. 214  abstract

Homoclinic Orbits for Invariant Tori of Nearly Integrable Hamiltonian Systems

O. Yu. Koltsova, L. M. Lerman, A. Delshams, and P. Gutiérrez p. 217  abstract

Limit Sets, Continuity, and Uncertainty Points of Mappings of Topological Spaces

M. M. Mirzoyan p. 221  abstract

Spectrum and Scattering for Schrödinger Operators
with Unbounded Coefficients

Kh. Kh. Murtazin and A. N. Galimov p. 223  abstract

Order-Optimal Method for Solving an Inverse Problem
for a Parabolic Equation

V. P. Tanana p. 226  abstract

Defining Relations for Tame Automorphism Groups of Polynomial Rings
and Wild Automorphisms of Free Associative Algebras

U. U. Umirbaev p. 229  abstract

Diffusion in an Incompressible Random Flow. Nash–Aronson-Type Estimates
for Transition Probabilities and a Central Limit Theorem

V. V. Zhikov p. 234  abstract

The Converse of Abel’s Theorem

V. A. Kisun’ko p. 238  abstract

On Boundary Value Problems for the Cauchy–Riemann
and Bitsadze Systems of Equations

B. B. Oshorov p. 241  abstract

Measure-Valued Diffusions and Corresponding Evolutionary Flows

A. Yu. Pilipenko p. 245  abstract

On the Unique Determination of Closed Surfaces
with Respect to Geodesic Mappings

V. T. Fomenko p. 248  abstract

Feynman Formulas for Evolution Equations with Levy Laplacians
on Infinite-Dimensional Manifolds

L. Accardi and O. G. Smolyanov p. 252  abstract

The Riemann–Hilbert Problem in Loop Spaces

G. Giorgadze and G. Khimshiashvili p. 258  abstract

On the Existence of Boundary Limit Values for Solutions
to Polyharmonic Equations

V. P. Mikhailov p. 261  abstract

'-Shock Waves as a New Type of Singular Solutions to Hyperbolic Systems
of Conservation Laws

E. Yu. Panov and V. M. Shelkovich p. 264  abstract

On the Theory of Systems of Linear Difference Equations
with a Continuous Argument

G. P. Pelyukh p. 269  abstract

Cartan-Type Estimates for the Cauchy Potential

V. Ya. Eiderman p. 273  abstract

Regularizations of Quasilinear Stationary Problems Related
to the Membrane Large Deflection Problem

E. G. D’yakonov p. 277  abstract

Singular Boundary Value Problem in Domains on a Cone

V. V. Katrakhov and S. V. Kiselevskaya p. 282  abstract

Nonstationary Kolmogorov Probability Models Describing Quantum Measurements

O. G. Smolyanov and A. Yu. Khrennikov p. 286  abstract

The Lyapunov Theorem on Stability with Respect to Linear Approximation
as a Corollary to the Implicit Operator Theorem

V. A. Trenogin p. 292  abstract


Mathematical Physics

Global Existence of a Solution to the Ocean Dynamics Equations

G. M. Kobelkov p. 296  abstract

On Some Typical Features of Motion with Damping in the Case
of Smooth Inhomogeneity

B. I. Suleimanov p. 299  abstract

Classification of Some Modifications of the Euler System of Equations

A. A. Zlotnik p. 302  abstract


Control Theory

Solution of the Wave Equation for the Control
of an Electromagnetoelastic Transducer

S. M. Afonin p. 307  abstract


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