TITLE

EXISTENCE OF MILD SOLUTIONS OF A SEMILINEAR EVOLUTION DIFFERENTIAL INCLUSIONS WITH NONLOCAL CONDITIONS

AUTHOR(S)
AL-OMAIR, REEM A.; IBRAHIM, AHMED G.
PUB. DATE
April 2009
SOURCE
Electronic Journal of Differential Equations;2009, Vol. 2009, Special section p1
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
In this paper we prove the existence of a mild solution for a semi-linear evolution differential inclusion with nonlocal condition and governed by a family of linear operators, not necessarily bounded or closed, in a Banach space. No compactness assumption is assumed on the evolution operator generated by the family operators. Also, we prove that the set of mild solutions is compact.
ACCESSION #
55418923

 

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