Extrapolation spaces and controllability of impulsive semilinear functional differential inclusions with infinite delay in Fréchet spaces

In this article, we investigate some classes of semilinear impulsive functional differential inclusions with infinite delay. It is assumed that the linear part is possibly neither densely defined nor it satisfies the Hille-Yosida condition on a Banach space, namely the extrapolated space. Our approa...

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Bibliographic Details
Published inApplicable analysis Vol. 85; no. 10; pp. 1255 - 1270
Main Authors Henderson, Johnny, Ouahab, Abdelghani
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 01.10.2006
Subjects
2000 Mathematics subject classifications
Controllability
Extrapolation spaces
Fixed point
Mild solution
Nondensely defined
Semilinear functional differential inclusions
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Summary:In this article, we investigate some classes of semilinear impulsive functional differential inclusions with infinite delay. It is assumed that the linear part is possibly neither densely defined nor it satisfies the Hille-Yosida condition on a Banach space, namely the extrapolated space. Our approach is based on the theory of extrapolation spaces combined with a recent Frigon nonlinear alternative for multivalued admissible contractions in Fréchet spaces.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ISSN:0003-6811
1563-504X
DOI:10.1080/00036810600841340