Abstract
In this present article the topological of the solution ser for abstract Volterra equations is studied both in Banach spaces and in Fréchet spaces. It is shown that the solution set for certain nonlinear abstract Volterra equations in the Fréchet spaces C[0,∞) and Lp loc[0,∞) (l≤p≤∞) are Rδ sets. Applications of the main results to nonlinear classical integral equations are given