Abstract. In this paper we are going to study the Hyers–Ulam–Rassias typesof stability for nonlinear, nonhomogeneous Volterra integral equations with delayon finite intervals. 1. IntroductionVolterra integral equations have been extensively studied since its appearance in1896. Part of this interest arises from the wide range of applications where this kindof equations appears, for instance in semiconductors, fluid flow, chemical reactions,elasticity and population dynamic among others (see [2, 5, 9, 12]). An importantsubject related to the applications is the stability of the equations, where a functionalequation is stable if for every approximate solution, there exists an exact solutionnear it. The stability problem of functional equations originated from a question ofUlam concerning the stability of group homomorphisms [14]: given a group G and ametric group G 0 with metric ρ(·,·). Given e > 0, does there exist a δ > 0 such thatif f : G −→ G 0 satisfiesρ(f(xy),f(x)f(y)) < δ for all x,y ∈ G,then a homomorphism h : G −→ G