Contents
Doklady Mathematics

Vol. 67, No. 1, 2003

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

Translated from Doklady Akademii Nauk, Volume 388, Nos. 1–6, 2003

Volume 67, January–February.

Mathematics

Solving the Monge and Monge–Kantorovich Problems: Theory and Examples

V. L. Levin p. 1  abstract

Convergence of Biorthogonal Expansions of Functions on an Interval
for Higher-Order Differential Operators

I. S. Lomov p. 5  abstract

The Wave Equation on a Spatial Network

Yu. V. Pokornyi, V. L. Pryadiev, and A. V. Borovskikh p. 10  abstract

On the Smoothness of the Utility Function in the Afriat–Varian Theorem

A. A. Shananin and S. P. Tarasov p. 13  abstract

Stochastic Flows with Interaction and Measure-Valued Markov Processes

A. A. Dorogovtsev p. 17  abstract

Nice Extensions and Global Class Field Theory

Yu. L. Ershov p. 21  abstract

Best Constants in Kolmogorov Inequalities for the Sobolev Spaces (R₊)

G. A. Kalyabin p. 24  abstract

The Cauchy Problem for Polyharmonic Equations

Sh. Yarmukhamedov p. 27  abstract

Economical Algorithms for the Numerical Solution
of a Multidimensional Heat Equation

Yu. B. Radvogin p. 31  abstract

Lie Rings with Almost Regular Automorphisms

E. I. Khukhro p. 34  abstract

A New Approach to the Theory of Ordinary Differential Equations
with a Small Parameter

M. I. Kamenskii, O. Yu. Makarenkov, and P. Nistri p. 36  abstract

Maximal Elements, Fixed Points, and Quasi-Continuous Orderings

N. S. Kukushkin p. 39  abstract

A Criterion for Unsolvability by Radicals of an Equation of Prime Degree

B. B. Lur’e p. 42  abstract

A Topological Classification of Generic Real Meromorphic Functions
on Separating Curves

S. M. Natanzon and S. V. Shadrin p. 44  abstract

Splitting of Asymptotic Manifolds in Some Hamiltonian Systems
with Two Degrees of Freedom

A. O. Novik and D. V. Treshchev p. 47  abstract

On Some Modifications of the Steklov Spectral Problem
for Two-Dimensional Domains with Irregular Boundaries

E. G. D’yakonov p. 50  abstract

Korn’s Inequalities for Thin Periodic Structures

V. V. Zhikov and S. E. Pastukhova p. 55  abstract

On Boolean Polynomials

V. K. Leont’ev p. 60  abstract

On Stabilization of Solutions to Equations of Gas Dynamics

V. M. Miklyukov, S. S. Polupanov, and R. A. Tarapata p. 63  abstract

Necessary Conditions for the Existence of Local Solutions
to Higher-Order Singular Nonlinear Ordinary
Differential Equations and Inequalities

J. Hay p. 66  abstract

Abstract Guidance Problem in the Class of Set-Valued Quasi-Strategies

A. G. Chentsov p. 70  abstract

The Cauchy Problem for Second-Order Elliptic Systems on the Plane

E. V. Arbuzov p. 74  abstract

Spectral Asymptotics for Nonsmooth Perturbations of Differential Operators
and Trace Formulas

E. F. Akhmerova and Kh. Kh. Murtazin p. 78  abstract

The Fredholm Property of Pseudodifferential Operators with Shifts
on ⁿ and Limit Operators

V. S. Rabinovich p. 81  abstract

The Problems of Borsuk, Hadwiger, and Grünbaum for Some Classes
of Polytopes and Graphs

A. M. Raigorodskii p. 85  abstract

Mathematical Physics

Path Equation for Photons Moving in the Magnetic Meridian Plane
of a Dipole Magnetic Field and Governed by the Laws
of Nonlinear Electrodynamics in a Vacuum

V. I. Denisov, I. P. Denisova, and I. V. Krivchenkov p. 90  abstract

A Nonclassical Kolmogorov-Type Model Describing Quantum Experiments

O. G. Smolyanov and A. Yu. Khrennikov p. 93  abstract

The Local Green’s Function Method for Singularly Perturbed Convection–Diffusion Problems

O. Axelsson, E. V. Glushkov, and N. V. Glushkova p. 98  abstract

On Scattering Matrices in Domains with Cylindrical Ends

V. O. Kalvine and B. A. Plamenevskii p. 103  abstract

The Asymptotic Behavior of the Solution to the Principal Resonance Equations at Infinity

L. A. Kalyakin p. 107  abstract

Characteristic Multipoles and Two-Dimensional Problems
in the Electrostatics of Dielectrics

V. P. Kazantsev p. 111  abstract

On the Invariance of Quasi-Gasdynamic Equations

V. F. Kovalev and B. N. Chetverushkin p. 116  abstract

Control Theory

Output Feedback Stabilization of Dynamic Systems

R. Gabasov and F. M. Kirillova p. 119  abstract

Some Properties of Optimal Ellipsoids Approximating Reachability Sets

F. L. Chernous’ko and A. I. Ovseevich p. 123  abstract

Computer Science

Algebraic Approach to the Problem of Synthesis of Trainable Algorithms
for Trend Revealing

K. V. Rudakov and Yu. V. Chekhovich p. 127  abstract

Computer Visualization of the Production Possibility Set
in Data Envelopment Analysis

A. V. Lotov p. 131  abstract

A Recurrent Method for Constructive Learning of Algebraic -Neurons
and -Neural Modules

Z. M. Shibzoukhov p. 134  abstract

A Polyhedral Approximation Method for Convex Bodies That Is Optimal
with Respect to the Order of the Number of Support
and Distance Function Evaluations

G. K. Kamenev p. 137  abstract

Metric Spaces Admitting Linear Operations and Inner Product

V. V. Mottl p. 140  abstract

A p-Adic Model of Hierarchical Intelligence

A. Yu. Khrennikov p. 144  abstract

Pleiades Publishing home page | journal home page | top

If you have any problems with this server, contact webmaster.