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Contents Vol. 42, No. 8, 2006

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Contents

Vol. 42, No. 8, 2006

Simultaneous English language translation of the journal is available from Pleiades Publishing, Inc.

Distributed worldwide by Springer. Differential Equations ISSN 0012-2661.

Ordinary Differential Equations

Invariant Tori of the Duffing Equation

Yu. N. Bibikov and M. V. Pirogov 1069 On Fourth-Order Nonlinear Differential Equations with the Painleve Property

V. I. Gromak 1076 On Integrals of Three-Dimensional Linear Differential Systems

with Skew-Symmetric Coefficient Matrices

S. E. Karpovich, L. G. Krasnevskii, N. A. Izobov, and E. A. Barabanov 1086 A Criterion for the Asymptotic Stability of Singular Differential Systems

by the Linear Diagonal Approximation

S. G. Krasovskii 1095

Partial Differential Equations

On the Set of Periods of Periodic Solutions of a Model Quasilinear Differential Equation

A. B. Antonevich and Dang Hanh Hoi 1102 Multidimensional Analytic Heat Wave Determined by a Boundary Mode

S. P. Bautin and A. A. Eliseev 1113 On the Spectrum of the Dirichlet Problem for Systems

of Operator-Differential Equations

D. V. Kornienko 1124 On the Classical Solvability of the Mixed Problem for a Second-Order

One-Dimensional Hyperbolic Equation

N. L. Lazetic 1134 The Problem of Control of a Two-Dimensional Transformation of Spatial

Arguments in a Parabolic Functional-Differential Equation

A. V. Razgulin 1140 On the Index of the Dirichlet Problem for Elliptic Systems on the Plane

A. P. Soldatov 1156 Inverse Problems for Elliptic Equations on the Plane: I

V. V. Solov'ev 1170

Numerical Methods

On the Convergence of the Dual-Type Iterative Method for Mixed Variational Inequalities

I. B. Badriev and O. A. Zadvornov 1180 On the Efficiency of Some Difference Schemes for Problems of Nonlinear

Interaction of Optical Radiation with a Semiconductor

M. M. Loginova and V. A. Trofimov 1189

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Short Communications

The Cauchy Problem for Fractional Differential Equations with Worsening Right-Hand Sides

E. A. Barkova and P. P. Zabreiko 1199 On the Ill-Posedness of Structural Identification

Yu. F. Orlov 1203 On the Asymptotics of Solutions of Boundary Value Problems for Singularly

Perturbed Linear Systems on an Infinite Interval

N. G. Panfilov and Yu. A. Konyaev 1207 On the Smoothness of the Solution of the Two-Endpoint Boundary Control

Problem for the String Equation on an Arbitrary Time Interval

Yu. K. Sabitova 1209

Chronicle

On the Seminar on Problems of Nonlinear Dynamics and Control

at Moscow State University 1213

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