Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 345701, 12 pages
doi:10.1155/2010/345701
Research Article

Some Nonlinear Weakly Singular Integral Inequalities with Two Variables and Applications

School of Science, Southwest University of Science and Technology, Mianyang, Sichuan 621010, China

Received 23 October 2010; Accepted 22 December 2010

Academic Editor: Radu Precup

Copyright © 2010 Hong Wang and Kelong Zheng. 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 nonlinear weakly singular integral inequalities in two variables which generalize some known results are discussed. The results can be used as powerful tools in the analysis of certain classes of differential equations, integral equations, and evolution equations. An example is presented to show boundedness of solution of a differential equation here.