International Journal of Mathematics and Mathematical Sciences 
Volume 2003 (2003), Issue 15, Pages 927-934
doi:10.1155/S0161171203205299

A more generalized Gronwall-like integral inequality with applications

Qinghua Ma1 and Lokenath Debnath1

 1Department of Information Technology, Guangdong University of Foreign Studies, Guangdong 510420, China
2Department of Mathematics, University of Texas - Pan American, Edinburg, TX 78539, USA
Received 5 May 2002

Abstract

This paper deals with a new Gronwall-like integral inequality which is a generalization of integral inequalities proved by Engler (1989) and Pachpatte (1992). The new Gronwall-like integral inequality can be used in various problems in the theory of certain class of ordinary and integral equations.