Contents
Doklady Mathematics


Vol. 73, No. 1, 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 406, Nos. 1–6, 2006


Volume 73, January–February.

Mathematics

On the Monge–Ampére Equation on Wiener Space

V. I. Bogachev and A. V. Kolesnikov p. 1  abstract

A Cauchy-Type Problem for the Diffusion-Wave Equation
with Riemann–Liouville Partial Derivative

A. A. Voroshilov and A. A. Kilbas p. 6  abstract

A Theorem on Equivalent Bases for Differential Operators

V. M. Kurbanov p. 11  abstract

On Spectral Decompositions Corresponding
to Non-Self-Adjoint Sturm–Liouville Operators

A. S. Makin p. 15  abstract

Asymptotics of the Spectrum of the Schrödinger Operator Perturbed
by a Rapidly Oscillating Periodic Potential

D. I. Borisov p. 19  abstract

A Method for Studying the Variance of Weight Estimates
in Numerical Statistical Modeling

G. A. Mikhailov and I. N. Medvedev p. 23  abstract

The Inverse Problem for a Discrete Elliptic Equation
with Prescribed Symmetry Conditions

S. I. Serdyukova p. 27  abstract

Metric Modulars and Their Application

V. V. Chistyakov p. 32  abstract

Hierarchies of Finite Sets

A. A. Vladimirov p. 36  abstract

Klein Polyhedra and Norm Minima of Lattices

O. N. German p. 38  abstract

Generalized Riesz B-Potentials of the Mixed Type

L. N. Lyakhov and E. L. Shishkina p. 42  abstract

The Khovanov Complex and Minimal Knot Diagrams

V. O. Manturov p. 46  abstract

To the Theory of Second-Order Total Differentials with Singular Points

L. G. Mikhailov p. 49  abstract

Estimates of a Solution to a Differential Inequality Related
to a Second-Order Hyperbolic Operator and Cauchy Data
on a Timelike Surface

V. G. Romanov p. 51  abstract

Integral Operators with Discontinuous Kernels

A. P. Khromov p. 54  abstract

Representability of Cones in Weighted Lebesgue Spaces
and Extrapolation Operators on Cones

E. I. Berezhnoi and L. Maligranda p. 59  abstract

On Oriented Coincidence Index for Nonlinear Fredholm Inclusions

P. Zecca, V. G. Zvyagin, and V. V. Obukhovskii p. 63  abstract

On the Dirichlet–Neumann Problem for the Dissipative Helmholtz Equation
in a Two-Dimensional Domain with Cuts with the Neumann Condition on the Cuts

P. A. Krutitskii and V. V. Kolybasova p. 67  abstract

Convergence of Expansions in the Root Functions
of Periodic Boundary Value Problems

A. S. Makin p. 71  abstract

Boundary Control of an Elastic Force at One End of a String

A. A. Nikitin p. 77  abstract

To the Linearity of Automorphism Groups for Free Metabelian Groups

V. P. Platonov p. 80  abstract

Sharp Estimates of Solutions to Differential-Difference Equations
of the Neutral Type

V. V. Vlasov and S. A. Ivanov p. 82  abstract

Whitney-Type Theorems on Extension of Functions on Carnot Groups

S. K. Vodopyanov and I. M. Pupyshev p. 85  abstract

Deletion of Singularities from Sequences of Analytic Functions

A. P. Devyatkov and V. I. Kruglikov p. 90  abstract

Order Reduction for a Class of Partial Differential Equations

V. I. Zhegalov and O. A. Kosheeva p. 92  abstract

Some Estimates from Homogenization Theory

V. V. Zhikov p. 96  abstract

Approximation of Toeplitz Matrices by Sums of Circulants
and Small-Rank Matrices

N. L. Zamarashkin, I. V. Oseledets, and E. E. Tyrtyshnikov p. 100  abstract

Some Estimates from Homogenized Elasticity Problems

S. E. Pastukhova p. 102  abstract

Reconstruction of Potentials in the Sturm–Liouville Inverse Problem
by the Variational Method

V. V. Ternovskii and M. M. Khapaev p. 107  abstract

On the Existence of Smooth Solutions to the Dyachenko Equations
Governing Free-Surface Unsteady Ideal Fluid Flows

R. V. Shamin p. 112  abstract

Generators of Operator Semigroups

A. G. Baskakov p. 114  abstract

Complicated Expansions of Solutions to an Ordinary Differential Equation

A. D. Bruno p. 117  abstract

Dynamics and Energy of Transitions between Dual Spaces

E. R. Smol’yakov p. 121  abstract


Mathematical Physics

Cylindrical Traveling Waves for the Generalized Cubical Schrödinger Equation

A. Yu. Kolesov, A. N. Kulikov, and N. Kh. Rozov p. 125  abstract

Berry Phase around Degeneracies

A. A. Mailybaev, O. N. Kirillov, and A. P. Seyranian p. 129  abstract

Dynamics of Traveling Waves in the Phenomenological Equation
of Spin Combustion

A. M. Samoilenko and E. P. Belan p. 134  abstract


Computer Science

Computational Complexity of the Minimum Committee Problem
and Related Problems

M. Yu. Khachai p. 138  abstract


Control Theory

The Problem of the Invariance of a Control System with Respect
to Some of the Output Variables

A. V. Proskurnikov and V. A. Yakubovich p. 142  abstract

Universal Regulators for Optimal Tracking of Polyharmonic Signals
in Systems with Delays

A. V. Proskurnikov and V. A. Yakubovich p. 147  abstract

Stabilization of an Inverted Pendulum with a Fixed or Movable Suspension Point

A. M. Formal’skii p. 152  abstract

On the Stability of Linear Systems with Delay

A. I. Barkin p. 157  abstract


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