Journal of Inequalities and Applications 
Volume 2007 (2007), Article ID 32949, 11 pages
doi:10.1155/2007/32949
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

Recommended by Wing-Sum Cheung

Abstract

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.