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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2003, номер 1, страницы 47–57
(Mi basm186)
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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.
Поступила в редакцию: 10.10.2002
Образец цитирования:
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
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/basm186 https://www.mathnet.ru/rus/basm/y2003/i1/p47
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