Electron. J. Diff. Eqns., Vol. 2009(2009), No. 57, pp. 1-8.

On solutions of a Volterra integral equation with deviating arguments

M. Diana Julie, Krishnan Balachandran

Abstract:
In this article, we establish the existence and asymptotic characterization of solutions to a nonlinear Volterra integral equation with deviating arguments. Our proof is based on measure of noncompactness and the Schauder fixed point theorem.

Submitted October 14, 2008. Published April 23, 2009.
Math Subject Classifications: 45D05, 45M05.
Key Words: Volterra integral equation; deviating arguments; asymptotic behavior; 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: kbkb1956@yahoo.com

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