A CLASS OF FUNCTIONAL-INTEGRAL EQUATIONS VIA PICARD OPERATOR TECHNIQUE.

Let B be a Banach space, α ≤ a < b ≤ β, K ∊ C([α; β]2×B2;B); g ∊ C([α; β];B) and h ∊ C([α; β]; [α; β]). In this paper, using the Picard operator technique, we will study, in C([α; β];B), the following integral equation x(t) = ∫b a K(t; s; x(s); x(h(s))ds; t ∊ [α; β]. [ABSTRACT FROM AUTHOR]