Weighted pseudo-almost periodic solutions for some neutral partial functional differential equations
Electronic Journal of Differential Equations, Tome 2012 (2012).

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Summary: 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},
     publisher = {mathdoc},
     volume = {2012},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a94/}
}
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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/