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

Copyright © 2001 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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