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Nonlinear Integral Inequalities in Two Independent Variables and Their Applications

Journal of Inequalities and Applications20072007:032949

Received: 10 June 2007

Accepted: 27 July 2007

Published: 5 November 2007


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.


Differential EquationPartial Differential EquationNonlinear TermIntegral InequalityGeneral Inequality


Authors’ Affiliations

College of Science, Southwest University of Science and Technology, Mianyang, Sichuan, China
Yibin University, Yibin, Sichuan, China
Department of Mathematics, Virginia Polytechnical Institute and State University, Blacksburg, USA


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© Kelong Zheng et al. 2007

This article is published under license to BioMed Central Ltd. 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.