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 |
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Yelai Fu Department of Mathematics Nanjing University of Aeronautics and Astronautics Nanjing, Jiangsu 210016, China email: fuyelai@126.com |
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