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Nonlinear Integral Inequalities in Two Independent Variables and Their Applications

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.

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Correspondence to Kelong Zheng.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Zheng, K., Wu, Y. & Deng, S. Nonlinear Integral Inequalities in Two Independent Variables and Their Applications. J Inequal Appl 2007, 032949 (2007). https://doi.org/10.1155/2007/32949

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Keywords

  • Differential Equation
  • Partial Differential Equation
  • Nonlinear Term
  • Integral Inequality
  • General Inequality
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