Geodesic
Weighted pseudo-almost periodic solutions for some neutral partial functional differential equations
Electronic journal of differential equations, Tome 2012 (2012)
In this article we study the existence of weighted pseudo almost periodic solutions of an autonomous neutral functional differential equation with Stepanov-Weighted pseudo almost periodic terms in a Banach space. We use the contraction mapping principle to show the existence and the uniqueness of weighted pseudo almost periodic solution of the equation.
Classification : 34K40, 35B15, 34C27, 34K14
Keywords: neutral equation, semigroup, mild solution, Stepanov-weighted pseudo almost periodic functions, Banach fixed point theorem 
@article{EJDE_2012__2012__a94,
     author = {Damak,  Mondher and Ezzinbi,  Khalil and Souden,  Lotfi},
     title = {Weighted pseudo-almost periodic solutions for some neutral partial functional differential equations},
     journal = {Electronic journal of differential equations},
     year = {2012},
     volume = {2012},
     zbl = {1244.34092},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a94/}
}
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%A Souden,  Lotfi
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Damak,  Mondher; Ezzinbi,  Khalil; Souden,  Lotfi. Weighted pseudo-almost periodic solutions for some neutral partial functional differential equations. Electronic journal of differential equations, Tome 2012 (2012). http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a94/