Journal of Inequalities and Applications
Volume 2005 (2005), Issue 4, Pages 347-361
doi:10.1155/JIA.2005.347
On certain new Gronwall-Ou-Iang type integral inequalities in two variables and their applications
1Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong
2Faculty of Information Science and Technology, Guangdong University of Foreign Studies, Guangzhou 510420, China
Received 15 September 2003; Revised 22 December 2004
Copyright © 2005 Wing-Sum Cheung and Qing-Hua Ma. 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.
Abstract
Some new Gronwall-Ou-Iang type integral inequalities in two
independent variables are established. These integral inequalities
can be applied as tools to the study of certain class of integral
and differential equations. Some applications to a terminal value
problem are also indicated.