Research articles

Global attractors for $V$-monotone nonautonomous dynamical systems

David N. Cheban^a, Peter E. Kloeden^b, Björn Schmalfuß<sup>c

a</sup> Faculty of Mathematics and Informatics, State University of Moldova, Chişinău, Moldova
^b Fachbereich Mathematik, Johann Wolfgang Goethe Universität, Frankfurt am Main, Germany
^c University of Applied Sciences, Merseburg, Germany

Abstract: This article is devoted to the study of the compact global atrractors of V-momotone nonautonomous dynamical systems.We give a description of the structure of compact global attractors of this class of systems. Several applications of general results for different classes of differential equations (ODEs, ODEs with impulse, some classes of evolutionary partial differential equations) are given.

Keywords and phrases: V-monotone system, nonautonomous dynamical system, skew-product flow, global attractor, almost periodic motions.

MSC: Primary 34D20, 34D40, 34D45, 58F10, 58F12, 58F39; Secondary 35B35

Received: 10.10.2002

Language: English

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