Geodesic
Convergence in comparable almost periodic reaction-diffusion systems with Dirichlet boundary conditions
Electronic journal of differential equations, Tome 2014 (2014)
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.
Classification : 37B55, 37L15, 35B15, 35K57
Keywords: reaction-diffusion systems, asymptotic behavior, uniform stability, skew-product semiflows 
@article{EJDE_2014__2014__a28,
     author = {Cao,  Feng and Fu,  Yelai},
     title = {Convergence in comparable almost periodic reaction-diffusion systems with {Dirichlet} boundary conditions},
     journal = {Electronic journal of differential equations},
     year = {2014},
     volume = {2014},
     zbl = {1296.37016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a28/}
}
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JO  - Electronic journal of differential equations
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%A Fu,  Yelai
%T Convergence in comparable almost periodic reaction-diffusion systems with Dirichlet boundary conditions
%J Electronic journal of differential equations
%D 2014
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%G en
%F EJDE_2014__2014__a28
Cao,  Feng; Fu,  Yelai. Convergence in comparable almost periodic reaction-diffusion systems with Dirichlet boundary conditions. Electronic journal of differential equations, Tome 2014 (2014). http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a28/