ABSTRACT
We start this chapter by studying the existence of solutions for some variants
of Hammerstein’s integral equation. Next, we investigate the existence of so-
lutions for several nonlinear functional integral and differential equations, in
the Banach algebra C([0, T ], X), where X is a Banach algebra satisfying the condition (P). An application of Leray-Schauder type fixed point theorem under the weak topology is given.