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Controllability of non-densely defined impulsive neutral functional differential systems with infinite delay in Banach spaces
Authors:V. Kavitha  M. Mallika Arjunan
Affiliation:Department of Mathematics, Karunya University, Karunya Nagar, Coimbatore-641 114, Tamil Nadu, India
Abstract:In this paper, we investigate the controllability for a class of abstract impulsive neutral functional differential systems with infinite delay where the linear part is non-densely defined and satisfies the Hille–Yosida condition. The approach used is the Schauder fixed point theorem combined with the operator semigroups. Particularly, the compactness of the operator semigroups is not needed in this article.
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