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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