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.
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Mathematics Subject Classifications (2000)
34D45, 37B25, 37B75, 58C06.
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Kloeden, P.E., Valero, J. Attractors of Weakly Asymptotically Compact Set-Valued Dynamical Systems. Set-Valued Anal 13, 381–404 (2005). https://doi.org/10.1007/s11228-004-0047-9
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DOI: https://doi.org/10.1007/s11228-004-0047-9