Attractors of Weakly Asymptotically Compact Set-Valued Dynamical Systems |
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| Authors: | P E Kloeden and J Valero |
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| Institution: | (1) FB Mathematik, Johann Wolfgang Goethe Universit?t, D-60054 Frankfurt am Main, Germany;(2) Departamento de Estadística y Matemática Aplicada, Universidad Miguel Hernández, Avda. del Ferrocarril s/n, ES-03202 Elche, Spain |
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| Abstract: | The existence of weak attractors is established for set-valued dynamical systems which are weakly asymptotically compact and
weakly dissipative. Here weak properties mean with respect to at least one trajectory for each initial value. A condition
ensuring the uniqueness of such weak attractors is given. The results are illustrated with an application involving a partial
differential inclusion in bounded and unbounded domains.
Mathematics Subject Classifications (2000) 34D45, 37B25, 37B75, 58C06. |
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| Keywords: | set-valued dynamical system weak attraction weak asymptotic compactness attractor differential inclusion unbounded domain |
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