Electronic Journal of Differential Equations, Vol. 2004(2004), No. 136, pp. 1-13. Title: Approximations of solutions to retarded integrodifferential equations Authors: Dhirendra Bahuguna (Indian Inst. Technology, Kanpur, India) Malik Muslim (Indian Inst. Technology, Kanpur, India) Abstract: In this paper we consider a retarded integrodifferential equation and prove existence, uniqueness and convergence of approximate solutions. We also give some examples to illustrate the applications of the abstract results. Submitted October 21, 2002. Published November 23, 2004. Math Subject Classifications: 34K30, 34G20, 47H06. Key Words: Retarded differential equation; analytic semigroup; approximate solution; convergence of solutions; Faedo-Galerkin approximation