Asymptotic Behavior of a Periodic Diffusion System

作者:Li Songsong*; Hui Xiaofeng
来源:Journal of Inequalities and Applications, 2010, 764703.
DOI:10.1155/2010/764703

摘要

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.