Pullback attractor for differential evolution inclusions with infinite delays

We analyze the existence of pullback attractor for non-autonomous differential inclusions with infinite delays in Banach spaces by using measures of noncompactness. The obtained results can be applied to control systems driven by semilinear partial differential equations and multivalued feedbacks.

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Bibliographic Details
Published in:Applied mathematics and computation 2015-08, Vol.265, p.667-680
Main Authors: Van Dac, Nguyen, Dinh Ke, Tran
Format: Article
Language:English
Subjects:
Banach space
Condensing operator
Control systems
Control theory
Delay
Evolution
Functional differential inclusion
Inclusions
Mathematical models
Measure of noncompactness
Partial differential equations
Pullback attractor
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Description
Summary:We analyze the existence of pullback attractor for non-autonomous differential inclusions with infinite delays in Banach spaces by using measures of noncompactness. The obtained results can be applied to control systems driven by semilinear partial differential equations and multivalued feedbacks.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2015.05.092