Electronic Journal of Differential Equations,
Vol. 2014 (2014), No. 85, pp. 1-11.

Title: Convergence in comparable almost periodic reaction-diffusion
       systems with Dirichlet boundary conditions

Authors: Feng Cao (Nanjing Univ. of Aeronautics, Jiangsu, China)
         Yelai Fu (Nanjing Univ. of Aeronautics, Jiangsu, China)

Abstract:
 In this article, we study the asymptotic dynamics in nonmonotone
 comparable almost periodic reaction-diffusion systems with Dirichlet
 boundary condition, which are comparable with uniformly stable
 strongly order-preserving system. By appealing to the theory of
 skew-product semiflows, we obtain the asymptotic almost periodicity
 of uniformly stable solutions to the comparable reaction-diffusion system.

Submitted November 14, 2013. Published April 02, 2014.
Math Subject Classifications: 37B55, 37L15, 35B15, 35K57.
Key Words: Reaction-diffusion systems; asymptotic behavior; uniform stability;
           skew-product semiflows.