FUNCTIONAL QUADRATIC INTEGRAL EQUATIONS IN L 1 loc(R +) LATIFA BENHAMOUCHE AND SMA¨IL DJEBALI

Abstract

In this work, we study the existence of solutions for a class of functional quadratic integral equations of Volterra type in the space L 1 loc (R + ). The main result of this paper is obtained by applying the Schauder-Tychonov fixed point theorem combined with Ascoli-Arzéla Lemma and Dunford-Pettis compactness criterion. It generalizes some previous results obtained in [12] and [13]. Two illustrative examples are included.