Electron. J. Diff. Eqns., Vol. 2008(2008), No. 77, pp. 1-9.

Asymptotic behavior of solutions to functional integral equation with deviating arguments

M. Diana Julie, Krishnan Balachandran

Abstract:
This article presents results on the existence and asymptotic behavior of solutions of a functional integral equation with deviating arguments. The proof of our main result uses the classical Schauder fixed point theorem and the technique of measures of noncompactness.

Submitted March 14, 2008. Published May 27, 2008.
Math Subject Classifications: 45D05, 45M05.
Key Words: Functional integral equation; deviating argument; asymptotic behavior; measures of noncompactness; fixed point theorem.

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M. Diana Julie
Department of Mathematics, Bharathiar University
Coimbatore-641 046, India
email: diana.stephen@rediffmail.com
Krishnan Balachandran
Department of Mathematics, Bharathiar University
Coimbatore-641 046, India
email: balachandran_k@lycos.com

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