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ЖУРНАЛЫ // Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica // Архив

Bul. Acad. Ştiinţe Repub. Mold. Mat., 2003, номер 1, страницы 47–57 (Mi basm186)

Research articles

Global attractors for $V$-monotone nonautonomous dynamical systems

David N. Chebana, Peter E. Kloedenb, Björn Schmalfußc

a 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

Аннотация: 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.

Ключевые слова и фразы: V-monotone system, nonautonomous dynamical system, skew-product flow, global attractor, almost periodic motions.

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

Поступила в редакцию: 10.10.2002

Язык публикации: английский



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