Singularly perturbed volterra integro-differential equations

Several investigations have been made on singularly perturbed integral equations. This paper aims at presenting an algorithm for the construction of asymptotic solutions and then provide a proof asymptotic correctness to singularly perturbed systems of Volterra integro-differential equations. Mathematics Subject Classification (2000): 45D05, 45F05, 45J05, 41A60. Key words: Singular perturbation; Volterra integro-differential equations Quaestiones Mathematicae 25 (2002), 229-24