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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2003, Number 1, Pages 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
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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.
Received: 10.10.2002
Bibliographic databases:
Document Type: Article
MSC: Primary 34D20, 34D40, 34D45, 58F10, 58F12, 58F39; Secondary 35B35
Language: English
Citation: David N. Cheban, Peter E. Kloeden, Björn Schmalfuß, “Global attractors for $V$-monotone nonautonomous dynamical systems”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2003, no. 1, 47–57
Citation in format AMSBIB
\Bibitem{CheKloSch03}
\by David~N.~Cheban, Peter~E.~Kloeden, Bj\"orn~Schmalfu{\ss}
\paper Global attractors for $V$-monotone nonautonomous dynamical systems
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2003
\issue 1
\pages 47--57
\mathnet{http://mi.mathnet.ru/basm186}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1992649}
\zmath{https://zbmath.org/?q=an:1052.34061}
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