Geodesic
Convergence in comparable almost periodic reaction-diffusion systems with Dirichlet boundary conditions
Electronic Journal of Differential Equations, Tome 2014 (2014).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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__a128,
     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},
     publisher = {mathdoc},
     volume = {2014},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a128/}
}
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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__a128/