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Asymptotic Behavior of a Periodic Diffusion System

Abstract

We study the asymptotic behavior of the nonnegative solutions of a periodic reaction diffusion system. By obtaining a priori upper bound of the nonnegative periodic solutions of the corresponding periodic diffusion system, we establish the existence of the maximum periodic solution and the asymptotic boundedness of the nonnegative solutions of the initial boundary value problem.

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Correspondence to Songsong Li.

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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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Li, S., Hui, X. Asymptotic Behavior of a Periodic Diffusion System. J Inequal Appl 2010, 764703 (2010). https://doi.org/10.1155/2010/764703

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  • DOI: https://doi.org/10.1155/2010/764703

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