Journal of Inequalities and Applications (Jan 2010)
Asymptotic Behavior of a Periodic Diffusion System
Abstract
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.