Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 909156, 13 pages
Research Article

Some New Nonlinear Weakly Singular Integral Inequalities of Wendroff Type with Applications

Wing-Sum Cheung,1 Qing-Hua Ma,2 and Shiojenn Tseng3

1Department of Mathematics, University of Hong Kong, Pokfulam Road, Hong Kong
2Faculty of Information Science and Technology, Guangdong University of Foreign Studies, Guangzhou 510420, China
3Department of Mathematics, Tamkang University, Tamsui, Taipei 25137, Taiwan

Received 20 March 2008; Accepted 26 August 2008

Academic Editor: Sever Dragomir

Copyright © 2008 Wing-Sum Cheung et al. 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.


Some new weakly singular integral inequalities of Wendroff type are established, which generalized some known weakly singular inequalities for functions in two variables and can be used in the analysis of various problems in the theory of certain classes of integral equations and evolution equations. Application examples are also given.