Contents
Doklady Mathematics

Vol. 73, No. 3, 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 408, Nos. 1–6, 2006

Volume 73, May–June.

Mathematics

The Topology of Fibers of Stable Quadratic Mappings

T. Aliashvili and G. Khimshiashvili p. 315  abstract

Asymptotically Optimal Methods for Sequential Testing of Composite Hypotheses

B. E. Brodsky and B. S. Darkhovsky p. 318  abstract

Rectifiable Sets and the Coarea Formula for Metric-Valued Mappings

M. B. Karmanova p. 323  abstract

The Destabilizing Effect of Parametric Random Perturbations of White Noise Type
in Certain Quasilinear Continuous Dynamic Systems

D. G. Korenevskii p. 328  abstract

On the Structure of Orthosymmetric Bilinear Operators on Vector Lattices

A. G. Kusraev p. 331  abstract

Infinite-Dimensional Schrödinger Equations with Polynomial Potentials
and Feynman Path Integrals

O. G. Smolyanov and E. T. Shavgulidze p. 334  abstract

Necessary Conditions for an Extremum in 2-Regular Problems

E. R. Avakov, A. V. Arutyunov, and A. F. Izmailov p. 340  abstract

Uniqueness of Preimages of Measures

V. I. Bogachev, Yu. V. Sadovnichii, and V. V. Fedorchuk p. 344  abstract

Decomposition of the Spaces and into Sums of Solenoidal
and Potential Subspaces and Factorization Inequalities

Yu. A. Dubinskii p. 349  abstract

An Outflow of Viscous Heat-Conducting Gas from Time-Decreasing Noncylindrical Domains

I. A. Kaliev and M. S. Podkuiko p. 354  abstract

The Differential Problem of Active Noise Shielding

V. S. Ryaben’kii and S. V. Utyuzhnikov p. 357  abstract

Formulas of Variation for Solving Differential Equations
with Delayed Arguments and Mixed Initial Conditions

G. L. Kharatishvili and T. A. Tadumadze p. 360  abstract

The Boundary Values of Differentiable Functions Defined on Arbitrary Domains
in Carnot Groups

S. K. Vodop’yanov and I. M. Pupyshev p. 363  abstract

Properties of Discontinuous Value Functions in Time-Optimal Differential Games

L. V. Kamneva p. 368  abstract

An Inverse Problem for the Sturm–Liouville Operator
with Regular Boundary Conditions

A. S. Makin p. 372  abstract

On the Theory of Lyapunov’s Direct Method

A. A. Martynyuk p. 376  abstract

Necessary Optimality Conditions for Optimal Control Problems with Delays
and Mixed Initial Conditions

G. L. Kharatishvili and T. A. Tadumadze p. 380  abstract

The 2-Factor-Method with a Modified Lagrange Function
for Degenerate Constrained Optimization Problems

O. A. Brezhneva, Yu. G. Evtushenko, and A. A. Tret’yakov p. 384  abstract

Asymptotic Behavior of the Solution to a Differential Equation
with a Small Parameter When the Stability Lines of the Limit Solution Intersect

S. F. Dolbeeva and A. M. Il’in p. 388  abstract

Existence Conditions for a Global Strong Solution to One Class
of Nonlinear Evolution Equations in a Hilbert Space

M. Otelbaev, A. A. Durmagambetov, and E. N. Seitkulov p. 391  abstract

Two-Radius Theorems for Measure-Preserving Homeomorphisms

O. A. Ochakovskaya p. 394  abstract

Idempotent Definite Closures of Matrices

S. N. Sergeev p. 397  abstract

Orbital Equivalence of Integrable Hamiltonian Systems
in Neighborhoods of Saddle–Center Leaves

N. V. Korovina p. 399  abstract

Groups of Pseudoconformal Diffeomorphisms of Quaternion Variables

S. V. Lyudkovskii p. 403  abstract

Homotopy Classification of Elliptic Operators on Stratified Manifolds

V. E. Nazaikinskii, A. Yu. Savin, and B. Yu. Sternin p. 407  abstract

Approximation of the Dirichlet Control Problem and the Dual Problem
with Irregular Neumann Observations for the Wave Equation

M. M. Potapov p. 412  abstract

On the Chromatic Number of a Space with Two Forbidden Distances

A. M. Raigorodskii p. 417  abstract

The Dirichlet Problem for the Cauchy–Riemann System in the Scales of and

Yu. A. Dubinskii p. 421  abstract

On Limit Equations of Nonlinear Elasticity Theory on Thin Networks

V. V. Zhikov and S. E. Pastukhova p. 424  abstract

The Diffusion Rate in the Mather Problem

G. N. Piftankin p. 430  abstract

Surface Integrals in Riemannian Spaces and Feynman Formulas

O. G. Smolyanov, H. von Weizsaecker, and O. Wittich p. 432  abstract

Mathematical Physics

Boundary Layer of a Compressible Fluid in a Porous Medium or Magnetic Field

V. N. Monakhov and N. V. Khusnutdinova p. 437  abstract

Square Integrable Solutions to the Klein–Gordon Equation on a Manifold

I. V. Volovich and V. V. Kozlov p. 441  abstract

Classical Representation of Quantum Means and Quantum Dynamics

A. Yu. Khrennikov p. 445  abstract

Choice of Optimal Radiation Energy in X-ray Flaw Detection

D. S. Anikonov and I. V. Prokhorov p. 449  abstract

Asymptotic Behavior of the Free Surface in Liquid Filtration
through an Unbounded Layer

V. N. Monakhov and E. V. Gubkina p. 453  abstract

Ultrasecondary Maslov Quantization in the Case
of the Bardin–Cooper–Schrieffer Model

D. S. Golikov and G. V. Koval’ p. 457  abstract

Computer Science

Numerical Solution of Superstiff Differential-Algebraic Systems

A. B. Al’shin, E. A. Al’shina, N. N. Kalitkin, and A. B. Koryagina p. 460  abstract

Construction and Estimation of Dominating Sets in Communication Structures

A. P. Afanas’ev and A. M. Rappoport p. 465  abstract

Control Theory

Modeling and Optimization of Elastic System Motions by the Method
of Integro-Differential Relations

G. V. Kostin and V. V. Saurin p. 469  abstract

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