Open Access

Asymptotic Behavior of a Periodic Diffusion System

Journal of Inequalities and Applications20102010:764703

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

Received: 26 June 2010

Accepted: 25 August 2010

Published: 30 August 2010

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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Authors’ Affiliations

(1)
School of Management, Harbin Institute of Technology, Harbin, China
(2)
School of Finance and Economics Management, Harbin University, Harbin, China

Copyright

© S. Li and X. Hui. 2010

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.