Journal of Inequalities and Applications 
Volume 6 (2001), Issue 1, Pages 77-97
doi:10.1155/S1025583401000066

Existence criteria for integral equations in banach spaces

Donal O’Regan1 and Radu Precup2

1Department of Mathematics, National University of Ireland, Galway, Ireland
2Department of Applied Mathematics, “Babeş-Bolyai” University, Cluj, Romania

Received 25 August 1999; Revised 5 November 1999

Abstract

A Carathéodory existence theory for nonlinear Volterra and Urysohn integral equations in Banach spaces is presented using a Mönch type approach.