We prove the existence and uniqueness of mild and classical solution to a quasilinear delay integrodifferential equation with nonlocal condition. The results are obtained by using
-semigroup
and the Banach
fixed point theorem.
Krishnan Balachandran, Francis Paul Samuel
Abstract:
We prove the existence and uniqueness of mild and classical solution to
a quasilinear delay integrodifferential equation with nonlocal condition.
The results are obtained by using
-semigroup
and the Banach
fixed point theorem.
Submitted September 26, 2008. Published January 6, 2009.
Math Subject Classifications: 34G20, 47D03, 47H10, 47H20.
Key Words: Semigroup; mild and classical solution; Banach fixed point theorem.
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Krishnan Balachandran Department of Mathematics, Bharathiar University Coimbatore-641 046, India email: balachandran_k@lycos.com |
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Francis Paul Samuel Department of Mathematics, Bharathiar University Coimbatore-641 046, India email: paulsamuel_f@yahoo.com |
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