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An impulsive nonlinear singular version of the Gronwall-Bihari inequality

Abstract

We find bounds for a Gronwall-Bihari type inequality for piecewise continuous functions. Unlike works in the prior literature, here we consider inequalities involving singular kernels in addition to functions with delays.

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Correspondence to Nasser-Eddine Tatar.

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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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Tatar, NE. An impulsive nonlinear singular version of the Gronwall-Bihari inequality. J Inequal Appl 2006, 84561 (2006). https://doi.org/10.1155/JIA/2006/84561

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  • DOI: https://doi.org/10.1155/JIA/2006/84561

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