Electronic Journal of Differential Equations, Vol. 2005(2005), No. 126, pp. 1-10. Title: Asymptotic stability results for certain integral equations Author: Cezar Avramescu (Univ. of Craiova, Romania) Cristian Vladimirescu (Univ. of Craiova, Romania) Abstract: This paper shows the existence of asymptotically stable solutions to an integral equation. This is done by using a fixed point theorem, and without requiring that the solutions be bounded. Submitted October 17, 2005. Published November 14, 2005. Math Subject Classifications: 47H10, 45D10. Key Words: Fixed points; integral equations.