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Zbl 1200.93020
Kavitha, V.; Arjunan, M.Mallika
Controllability of non-densely defined impulsive neutral functional differential systems with infinite delay in Banach spaces. (English)
[J] Nonlinear Anal., Hybrid Syst. 4, No. 3, 441-450 (2010). ISSN 1751-570X

Summary: 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 Schauder's fixed point theorem combined with operator semigroups. Particularly, the compactness of the operator semigroups is not needed in this article.

MSC 2000:: *93B05 Controllability
34K40 Neutral equations
93C25 Control systems in abstract spaces
93B28 Operator-theoretic methods in systems theory

Keywords: impulsive differential equations; controllability; non-densely defined; infinite delay; Schauder's fixed point theorem

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