Khalil Ezzinbi, Samir Fatajou, Gaston M. N'Guerekata
Abstract:
In this work, we give sufficient conditions for the existence
and uniqueness of a weighted pseudo-almost periodic solutions
for some neutral partial functional differential equations.
Our working tools are based on the variation of constant formula
and the spectral decomposition of the phase space.
To illustrate our main result, we propose to study the
existence and uniqueness of a weighted pseudo-almost periodic
solution for some neutral model arising in physical systems.
Submitted May 1, 2010. Published September 8, 2010.
Math Subject Classifications: 34G20, 43A60.
Key Words: Neutral partial functional differential equation;
spectral decomposition; weighted pseudo-almost periodic solution;
exponential dichotomy.
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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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Samir Fatajou Université Cadi Ayyad, Faculté des Sciences Semlalia Département de Mathématiques, B.P. 2390, Marrakech, Morocco email: s.fatajou@ucam.ac.ma |
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Gaston M. N'Guérekata Department of Mathematics, Morgan State University 1700 East Cold Spring Lane, Baltimore, MD 21251, USA email: Gaston.N'Guerekata@morgan.edu, nguerekata@aol.com |
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