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 10645624.
Translated from Doklady Akademii Nauk, Volume 406, Nos. 16, 2006
Volume 73, JanuaryFebruary.
Mathematics
On the MongeAmpére Equation on Wiener Space
V. I. Bogachev and A. V. Kolesnikov p. 1 abstract
A Cauchy-Type Problem for the Diffusion-Wave Equation
with RiemannLiouville 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 SturmLiouville 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 DirichletNeumann 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 SturmLiouville 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. Smolyakov 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. Formalskii p. 152 abstract
On the Stability of Linear Systems with Delay
A. I. Barkin p. 157 abstract
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