Controllability of Impulsive Neutral Functional Differential Inclusions in Banach Spaces
Author(s) -
Xiaojun Wan,
Yaguo Zhang,
Jitao Sun
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/861568
Subject(s) - controllability , mathematics , differential inclusion , banach space , fixed point theorem , c0 semigroup , functional analysis , differential (mechanical device) , eberlein–šmulian theorem , pure mathematics , mathematical analysis , lp space , biochemistry , chemistry , engineering , gene , aerospace engineering
We investigate the controllability of impulsive neutral functional differential inclusions in Banach spaces. Our main aim is to find an effective method to solve the controllability problem of impulsive neutral functional differential inclusions with multivalued jump sizes in Banach spaces. Based on a fixed point theorem with regard to condensing map, sufficient conditions for the controllability of the impulsive neutral functional differential inclusions in Banach spaces are derived. Moreover, a remark is given to explain less conservative criteria for special cases, and work is improved in the previous literature
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