Electron. J. Diff. Eqns., Vol. 2009(2009), No. 84, pp. 1-9.

Existence of mild solutions for quasilinear integrodifferential equations with impulsive conditions

Krishnan Balachandran, Francis Paul Samuel

Abstract:
We prove the existence and uniqueness of mild solutions of quasilinear integrodifferential equations with nonlocal and impulsive conditions in Banach spaces. The results are obtained by using a fixed point technique and semigroup theory. Examples are provided to illustrate the theory.

Submitted February 24, 2009. Published July 10, 2009.
Math Subject Classifications: 34A37, 34G60, 34G20, 47H10.
Key Words: Semigroup; mild solution; impulsive conditions.

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Krishnan Balachandran
Department of Mathematics, Bharathiar University
Coimbatore-641 046, India
email: balachandran_k@lycos.com
Francis Paul Samuel
Department of Mathematics, Bharathiar University
Coimbatore-641 046, India
email: paulsamuel_f@yahoo.com

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