Contents
Doklady Mathematics


Vol. 70, 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 399, Nos. 1–6, 2004


Volume 70, November–December.

Mathematics

The Cauchy Problem for Differential Equations with Fractional Caputo Derivative

A. A. Kilbas and S. A. Marzan p. 841  abstract

Analogue of the Riesz Theorem for Systems of Rooted Functions of a Differential Operator

V. M. Kurbanov p. 846  abstract

On Decomposition Structures of Mathematical Objects

Yu. N. Pavlovskii p. 849  abstract

Essential Spectrum of Differential Operators and Limit Operators:
Application to the Schrödinger Operator

V. S. Rabinovich p. 852  abstract

Wavelets in frame0(R): Their Construction and Approximative Properties in Various Metrics

Yu. N. Subbotin and N. I. Chernykh p. 857  abstract

Boundary Relations and Weyl Families

V. A. Derkach, M. M. Malamud, H. de Snoo, and S. Hassi p. 860  abstract

The General Fourier–Bessel Transform and Singular Systems of Navier–Stokes Equations

L. N. Lyakhov and S. L. Lyakhova p. 866  abstract

An Eigenvalue Problem for a Nonlinear Sturm–Liouville Equation
with Boundary Conditions Depending on the Spectral Parameter

A. S. Makin p. 870  abstract

Implicit Adaptive Fourth-Order Runge–Kutta Scheme for Shock-Capturing Calculations

V. I. Pinchukov p. 874  abstract

ABC-Schemes for Stiff Systems of Ordinary Differential Equations

S. S. Filippov p. 878  abstract

Surfaces As Intersections of Quadrics

G. N. Khimshiashvili p. 881  abstract

G-Free Metabelian Nilpotent Groups

M. G. Amaglobeli and V. N. Remeslennikov p. 884  abstract

Linear Regression Models with Increasing Numbers of Unknown Parameters

A. H. Hajiyev p. 887  abstract

Stochastic Differential Equations and Random Measures on Function Spaces

A. A. Dorogovtsev p. 892  abstract

One Problem of Ulam

Yu. L. Ershov and V. A. Churkin p. 896  abstract

Hamiltonian Feynman Formulas for the Schrödinger Equation in Bounded Domains

O. G. Smolyanov and A. Truman p. 899  abstract

Second-Order Sufficient Conditions for Infinite-Dimensional Optimization Problems

A. V. Arutyunov p. 904  abstract

Sharp Estimates in Classes of Schur and Carathéodory Functions

I. I. Bavrin p. 908  abstract

On Subspaces of Hölder Spaces Consisting of Functions of Minimal Smoothness

E. I. Berezhnoi p. 911  abstract

On Boundary Value Problems for One Class of Singularly
Perturbed Differential Equations of a Nonclassical Type

Ya. Sh. Salimov and I. M. Sabzalieva p. 914  abstract

Transformations of Gaussian Measures by Stochastic Flows

N. A. Tolmachev and F. A. Khitruk p. 918  abstract

Abnormal Problems with a Nonclosed Image

E. R. Avakov and A. V. Arutyunov p. 924  abstract

An Algorithm for Computing Local Minima of Lattices

V. A. Bykovskii p. 928  abstract

On Ordered Schwinger Exponentials

O. V. Viskov p. 931  abstract

Constructing an Economical Description of a Polytope Using
the Duality Theory of Convex Sets

R. V. Efremov, G. K. Kamenev, and A. V. Lotov p. 934  abstract

Inversion of the Kipriyanov–Radon Transform

L. N. Lyakhov p. 937  abstract

Homogenization of Variational Inequalities with the Signorini Condition
in Perforated Domains

G. V. Sandrakov p. 941  abstract

The Distribution of the Poles of the Scattering Matrix and Dirichlet Series

S. A. Stepin p. 945  abstract

Optimal Boundary Control of Displacements at One End of a String
with the Second End Fixed and the Corresponding Distribution
of the String Total Energy

V. A. Il’in and E. I. Moiseev p. 949  abstract

Liouville-Type Theorems for Certain Nonlinear Nonlocal Problems

E. Mitidieri and S. I. Pohozaev p. 954  abstract

On the Application of the Stone–frame1ech Compactification
to Some Problems of Asymptotic Analysis

A. G. Chentsov p. 959  abstract


Mathematical Physics

Factorization Formulas for Some Meromorphic Matrix Functions

V. A. Babeshko and O. M. Babeshko p. 963  abstract

An Exactly Solvable Model of Superfluidity

V. P. Maslov p. 966  abstract

A Factorization Method in Boundary Value Problems for Continuous Media

V. A. Babeshko and O. M. Babeshko p. 971  abstract

Solution of a Scattering Problem with the Excitation of Whispering-Gallery Modes

A. P. Anyutin and V. I. Stasevich p. 975  abstract

A Phase Transition of the Zeroth Kind for a Weakly Nonideal Bose Gas
(in the Model of N.N. Bogolyubov)

V. P. Maslov and G. V. Koval’ p. 979  abstract

The Quantum Properties of a Nonlinear Dissipative Medium

E. S. Kurkina and S. P. Kurdyumov p. 982  abstract


Control Theory

Coordinated Equilibria in Dynamic Problems

E. R. Smol’yakov p. 989  abstract

Gyroscopic Stabilization of a Two-Wheeled Robot Bicycle

A. V. Lenskii and A. M. Formal’skii p. 993  abstract

Frequency-Domain Criteria for Dichotomy and Absolute Stability
for Integral Equations with Quadratic Constraints Involving Delays

D. Al’tshuller, A. V. Proskurnikov, and V. A. Yakubovich p. 998  abstract


Author Index to Volume 69, 2004 p. 1003

Author Index to Volume 70, 2004 p. 1005

Contents of Volumes 69 and 70, 2004 p. 1007


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