Journal of Inequalities and Applications
Volume 2006 (2006), Article ID 84561, 12 pages

An impulsive nonlinear singular version of the Gronwall-Bihari inequality

Nasser-Eddine Tatar

Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

Received 11 August 2005; Revised 18 October 2005; Accepted 20 October 2005

Copyright © 2006 Nasser-Eddine Tatar. 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 find bounds for a Gronwall-Bihari type inequality for piecewise continuous functions. Unlike works in the prior literature, here we consider inequalities involving singular kernels in addition to functions with delays.