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Title: The periodic problem for semilinear differential inclusions in Banach spaces (English)
Author: Bader, Ralf
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 39
Issue: 4
Year: 1998
Pages: 671-684
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Category: math
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Summary: Sufficient conditions on the existence of periodic solutions for semilinear differential inclusions are given in general Banach space. In our approach we apply the technique of the translation operator along trajectories. Due to recent results it is possible to show that this operator is a so-called decomposable map and thus admissible for certain fixed point index theories for set-valued maps. Compactness conditions are formulated in terms of the Hausdorff measure of noncompactness. (English)
Keyword: periodic solutions
Keyword: translation operator along trajectories
Keyword: set-valued maps
Keyword: $C_0$-semigroup
Keyword: $R_\delta$-sets
MSC: 34A60
MSC: 34C25
MSC: 34G25
MSC: 47H11
MSC: 47N20
idZBL: Zbl 1060.34508
idMR: MR1715457
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Date available: 2009-01-08T18:47:24Z
Last updated: 2012-04-30
Stable URL: http://hdl.handle.net/10338.dmlcz/119043
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