Nonincreasing solutions of a functional Integral equation with carathéodory perturbed

Abstract

A technique associated with measures of weak noncompactness and measures of noncompactness in strong sense is used to prove an existence result for a functional integral equation with Carathéodory perturbed. Our investigations take place in the space L1(R+) , R+:=[0,∞) . An example is also discussed to indicate the natural realizations of our abstract result.