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Journal of Inequalities and Applications 
Volume 2006 (2006), Article ID 84561, 12 pages
doi:10.1155/JIA/2006/84561

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

Abstract

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.