© Hindawi Publishing Corp. A MORE GENERALIZED GRONWALL-LIKE INTEGRAL INEQUALITY WITH APPLICATIONS

This paper deals with a new Gronwall-like integral inequality which is a generaliza-tion 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. 2000 Mathematics Subject Classification: 26D10, 26D15. 1. Introduction. I