Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 32949, 11 pages
Research Article

Nonlinear Integral Inequalities in Two Independent Variables and Their Applications

Kelong Zheng,1 Yu Wu,2 and Shengfu Deng3

1College of Science, Southwest University of Science and Technology, Mianyang, Sichuan 621010, China
2Yibin University, Yibin, Sichuan 644007, China
3Department of Mathematics, Virginia Polytechnical Institute and State University, Blacksburg 24061, VA, USA

Received 10 June 2007; Accepted 27 July 2007

Academic Editor: Wing-Sum Cheung

Copyright © 2007 Kelong Zheng 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.


This paper generalizes results of Cheung and Ma (2005) to more general inequalities with more than one distinct nonlinear term. From our results, some results of Cheung and Ma (2005) can be deduced as some special cases. Our results are also applied to show the boundedness of the solutions of a partial differential equation.