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Existence and approximate solutions of nonlinear integral equations

Journal of Inequalities and Applications20052005:757189

Received: 10 October 2003

Published: 31 October 2005


We investigate the existence of continuous solutions on compact intervals of some nonlinear integral equations. The existence of such solutions is based on some well-known fixed point theorems in Banach spaces such as Schaefer fixed point theorem, Schauder fixed point theorem, and Leray-Schauder principle. A special interest is devoted to the study of nonlinear Volterra equations and to the numerical treatment of these equations.

Authors’ Affiliations

Département de Mathématiques, Faculté des Sciences de Bizerte, Université 7 Novembre à Carthage, Jarzouna, Tunisia


© Karoui 2005