Electron. J. Diff. Equ., Vol. 2014 (2014), No. 85, pp. 1-11.

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

Feng Cao, Yelai Fu

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 2, 2014.
Math Subject Classifications: 37B55, 37L15, 35B15, 35K57.
Key Words: Reaction-diffusion systems; asymptotic behavior; uniform stability; skew-product semiflows.

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Feng Cao
Department of Mathematics
Nanjing University of Aeronautics and Astronautics
Nanjing, Jiangsu 210016, China
email: fcao@nuaa.edu.cn
Yelai Fu
Department of Mathematics
Nanjing University of Aeronautics and Astronautics
Nanjing, Jiangsu 210016, China
email: fuyelai@126.com

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