Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 240790, 21 pages
doi:10.1155/2010/240790
Research Article

Nonlinear Retarded Integral Inequalities with Two Variables and Applications

Wu-Sheng Wang,1,2 Zizun Li,1 Yong Li,3 and Yong Huang3

1School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, China
2Department of Mathematics, Hechi University, Guangxi, Yizhou 546300, China
3Department of Mathematics and Computer Information Engineering, Baise College, Guangxi Baise 533000, China

Received 8 June 2010; Revised 27 August 2010; Accepted 6 October 2010

Academic Editor: Sever Silverstru Dragomir

Copyright © 2010 Wu-Sheng Wang 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.

Abstract

We consider some new nonlinear retarded integral inequalities with two variables, which extend the results in the work of W.-S. Wang (2007), and the one in the work of Y.-H. kim (2009). These inequalities include not only a nonconstant term outside the integrals but also more than one distinct nonlinear integrals without assumption of monotonicity. Finally, we give some applications to the boundary value problem of a partial differential equation for boundedness and uniqueness.