Limit behavior of monotone and concave skew-product semiflows with applications
Electronic journal of differential equations, Tome 2015 (2015)
In this article, we study the long-time behavior of monotone and concave skew-product semiflows. We show that if there are two strongly ordered omega limit sets, then one of them is a copy of the base. Thus, we obtain a global attractor result. As an application, we consider a delay differential equation.
Classification : 34C12, 34D08, 34D45
Keywords: monotone, skew-product semiflow, attractor, almost periodic equation
@article{EJDE_2015__2015__a12,
     author = {Wang,  Bin-Guo},
     title = {Limit behavior of monotone and concave skew-product semiflows with applications},
     journal = {Electronic journal of differential equations},
     year = {2015},
     volume = {2015},
     zbl = {1370.37055},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a12/}
}
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Wang,  Bin-Guo. Limit behavior of monotone and concave skew-product semiflows with applications. Electronic journal of differential equations, Tome 2015 (2015). http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a12/