Journal of Inequalities and Applications
Volume 2006 (2006), Article ID 71396, 8 pages

An existence theorem for an implicit integral equation with discontinuous right-hand side

Giovanni Anello

Department of Mathematics, University of Messina, Sant' Agata, Messina 98166, Italy

Received 8 December 2004; Revised 9 March 2005; Accepted 22 March 2005

Copyright © 2006 Giovanni Anello. 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.


We establish a result concerning the existence of solutions for the following implicit integral equation: g(u(t))=ϕ(t,xo+0tf(τ,u(τ))dτ), where ϕ is not supposed continuous with respect to the second variable.