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Vietnam Journal of Mathematics 38:3 (2010) 305-321  

Existence Results for Impulsive Quasilinear

Integrodifferential Equations in Banach Spaces

F. Paul Samuel and K. Balachandran

Abstract. We study the existence and uniqueness of mild solutions for a quasilinear integrodifferential equation with nonlocal and impulsive conditions in Banach spaces. The results are obtained by using the Schauder fixed point theorem. Examples are provided to illustrate the theory.

2000 Mathematics Subject Classification: 34A37, 47D03, 47H10.

Keywords: Quasilinear integrodifferential equation, mild solution, fixed point theorem, impulsive conditions.

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Published by Springer since January 2013