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Existence results for an impulsive neutral functional differential equation with state-dependent delay |
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| Authors: | A. Anguraj M. Mallika Arjunan |
| Affiliation: | Department of Mathematics , PSG College of Arts and Science , Coimbatore -- 641 014, Tamil Nadu, India |
| Abstract: | In this article, we study the existence of mild solutions for a class of impulsive abstract partial neutral functional differential equations with state-dependent delay. The results are obtained by using Leray–Schauder Alternative fixed point theorem. |
| Keywords: | Neutral equations Abstract Cauchy problem Impulsive differential equations State dependent delay Semigroup of linear operators AMS-Subject Classifications 34A37 34K30 34K40 |