Electronic Journal of Differential Equations, Vol. 2009(2009), No. 57, pp. 1-8. Title: On solutions of a Volterra integral equation with deviating arguments Authors: M. Diana Julie (Bharathiar Univ., Coimbatore, India) Krishnan Balachandran (Bharathiar Univ., Coimbatore, India) 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.