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
Qing-Hua Ma
and Lokenath Debnath
Department of Information Technology, Guangdong University of Foreign Studies, Guangdong 510420, China
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.