Existence results for impulsive neutral evolution integrodifferential equations with infinite delay

In this paper we prove the existence of mild solutions for impulsive neutral evolution integrodifferential equations with infinite delay in Banach spaces. The results are obtained by using the analytic semigroup theory and the Krasnoselski–Schaefer type fixed point theorem. An example is provided to...

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Veröffentlicht in:	Nonlinear analysis. Hybrid systems 2009-11, Vol.3 (4), p.674-684
Hauptverfasser:	Balachandran, K., Annapoorani, N.
Format:	Artikel
Sprache:	eng
Schlagworte:	Analytic semigroup theory Impulsive neutral evolution integrodifferential equations Infinite delay Krasnoselski–Schaefer type fixed point theorem
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Zusammenfassung:	In this paper we prove the existence of mild solutions for impulsive neutral evolution integrodifferential equations with infinite delay in Banach spaces. The results are obtained by using the analytic semigroup theory and the Krasnoselski–Schaefer type fixed point theorem. An example is provided to illustrate the theory.
ISSN:	1751-570X
DOI:	10.1016/j.nahs.2009.06.004