Existence and approximate solutions of nonlinear integral equations. Issue 5 (31st October 2005)

• Record Type: Journal Article
• Authors: Karoui, Abderrazek
• Is Part Of: Journal of inequalities and applications. Volume 2005:Issue 5(2005)
• Page Start: 569
• Page End: 581
• Publication Date: 2005-10-31
• Subjects: Inequalities (Mathematics) -- Periodicals; 512.97
• DOI: 10.1155/JIA.2005.569
• Languages: English
• ISSNs: 1029-242X

Abstract

Abstract : 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.