Contents
Doklady Mathematics

Vol. 69, No. 3, 2004

English language translation of the journal is available from MAIK “Nauka / Interperiodica” (Russia).
Doklady Mathematics ISSN 1064–5624.

Translated from Doklady Akademii Nauk, Volume 396, Nos. 1–6, 2004

Volume 69, May–June.

Mathematics

Invariant Measures of Generalized Stochastic Porous Medium Equations

V. I. Bogachev, G. Da Prato, and M. Röckner p. 321  abstract

Uniqueness Theorems for Convolution Integral Equations
of the First and Second Kind on an Interval

A. F. Voronin p. 326  abstract

Carleson-Type Estimates for Solutions to Second-Order Elliptic Equations

A. K. Gushchin p. 329  abstract

On Spectral Problems in Energy Spaces on Composite Manifolds

E. G. D’yakonov p. 332  abstract

The Asymptotic Behavior of Solutions to Systems
of Linear Equations with Two Small Parameters

A. M. Il’in and O. O. Kovrizhnykh p. 336  abstract

The Solodovnikov Theorem in Dimension Two

V. S. Matveev p. 338  abstract

Symmetrizability of First-Order Hyperbolic Systems

E. Yu. Panov p. 341  abstract

Random Combinatorial Objects

G. I. Ivchenko and Yu. I. Medvedev p. 344  abstract

Expenditures of Purchasers and Turnover Rate
under a Nonlinear Financial Averaging:
Laws of Economic Physics

V. P. Maslov p. 348  abstract

On Hamiltonian-Minimal and Minimal Lagrangian Submanifolds in ⁿ and Pⁿ

A. E. Mironov p. 352  abstract

Construction of Entropy Characteristics Based on Lyapunov Energy Functions

Yu. A. Pykh p. 355  abstract

On One Combinatorial Problem of Erdös

D. A. Shabanov p. 359  abstract

On the Problem of Partial Asymptotic Stability on the Whole

V. I. Vorotnikov p. 363  abstract

Convexity Inequalities and Nonlinear Transformations of Measures

A. V. Kolesnikov p. 368  abstract

Compression of Images with the Use of Representations
by p-Adic Mappings and Approximations by Mahler Polynomials

N. V. Kotovich, A. Yu. Khrennikov, and E. L. Borzistaya p. 373  abstract

One Inverse Problem for Phase Field Equations

V. I. Maksimov and F. Tröltzsch p. 377  abstract

Description of the Kernel of a Differential Operator

I. Kh. Musin p. 381  abstract

Classification of Morse–Smale Diffeomorphisms with Finite Sets
of Heteroclinic Orbits on 3-Manifolds

Ch. Bonatti, V. Z. Grines, and O. V. Pochinka p. 385  abstract

On Estimates of Solutions to Functional Differential Equations
of the Neutral Type in Sobolev Spaces

V. V. Vlasov and S. A. Ivanov p. 388  abstract

A High-Accuracy Composite Grid Method

E. A. Volkov, A. A. Dosiyev, and M. Bozer p. 391  abstract

On the Noetherian Property and Index for Some Two-Dimensional Singular
Integral Operators over Bounded Domains

G. Dzhangibekov and G. Khudzhanazarova p. 394  abstract

Association Schemes and Metrics on Finite Groups

V. M. Sidel’nikov p. 400  abstract

Numerical Solution of Boundary Value Problems for Second-Order Linear Ordinary
Differential Equations with a Small Parameter Multiplying the Highest Derivative

D. V. Fedorov p. 404  abstract

On the Convexity, Compactness, and Nonemptiness of Images
and Preimages of Linear Fractional Operator Relations

V. A. Khatskevich and V. A. Senderov p. 409  abstract

On the Problem of Identification of Two Many-Dimensional Parabolic Equation Coefficients

Yu. Ya. Belov and S. V. Polyntseva p. 412  abstract

On Differential Games with Undetermined Initial Vectors

S. A. Brykalov p. 416  abstract

The Cauchy Problem for One Hyperbolic System with Constant Coefficients

N. A. Zhura and A. N. Oraevskii p. 419  abstract

On the Riemann Asymptotic Formula for (x)

A. A. Karatsuba p. 423  abstract

Bounded Solutions to an Ultrahyperbolic Equation in a Half-Space

D. P. Kostomarov p. 425  abstract

Quantile Hedging of Equity-Linked Life Insurance Policies

A. V. Melnikov p. 428  abstract

Measure of Conditioning and Implicit and Inverse Operators in Metric Spaces

V. A. Trenogin p. 431  abstract

On the Theorem of Vedernikov and Kuleshov about Finite Supersoluble Groups

O. L. Shemetkova p. 435  abstract

On Triangular Transformations of Measures

V. I. Bogachev, A. V. Kolesnikov, and K. V. Medvedev p. 438  abstract

Modularity of Equations D3 and the Iskovskikh Classification

V. V. Golyshev p. 443  abstract

Application of a Genetic Code Theorem

N. N. Kozlov p. 450  abstract

The Best Parametrization for Constructing a Curve by the Iteration Method

E. B. Kuznetsov p. 456  abstract

A Characterization of Alternating Groups

V. D. Mazurov p. 459  abstract

Efficient Hedging of Equity-Linked Life Insurance Policies

A. V. Melnikov p. 462  abstract

Necessary and Sufficient Conditions for the Solvability of an Inverse Problem
for Systems of Differential Equations on a Half-Line

V. A. Yurko p. 465  abstract

Mathematical Physics

The Buffer Phenomenon in Combustion Theory

A. Yu. Kolesov and N. Kh. Rozov p. 469  abstract

The Dynamical Analog of the Chua Circuit with a Many-Segment Nonlinearity

V. G. Prokopenko p. 473  abstract

Control Theory

Solvability Conditions for the Robust Output H Control Problem

D. V. Balandin and M. M. Kogan p. 480  abstract

Asymptotic Observers for Uncertain Vector Linear Systems

S. K. Korovin, A. V. Il’in, V. V. Fomichev, and A. Hlawenka p. 483  abstract

Linear Matrix Inequalities in the Robust Output H Control Problem

D. V. Balandin and M. M. Kogan p. 488  abstract

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