International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 15, Pages 927-934

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

Copyright © 2003 Qinghua Ma and Lokenath Debnath. 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.


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.