Mondher Damak, Khalil Ezzinbi, Lotfi Souden
Abstract:
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.
Submitted November 21, 2011. Published March 23, 2012.
Math Subject Classifications: 34K40, 35B15, 34C27, 34K14.
Key Words: Neutral equation; semigroup; mild solution;
Stepanov-weighted pseudo almost periodic functions;
Banach fixed point theorem.
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Mondher Damak Université de Sfax, Faculté des Sciences Sfax Route de Soukra, Km 3.5, B.P. 802 3018 Sfax, Tunisie email: Mondher.Damak@fss.rnu.tn |
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Khalil Ezzinbi Université Cadi Ayyad, Faculté des Sciences Semlalia Département de Mathématiques B.P. 2390, Marrakech, Morocco email: ezzinbi@ucam.ac.ma |
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Lotfi Souden Département de Mathématiques Faculté Des Sciences De Gafsa Cité Zarroug 2121, Gafsa, Tunisie email: ltfsdn@gmail.com |
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