Weighted pseudo-almost periodic solutions for some neutral partial functional differential equations

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 spa...

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Bibliographic Details
Main Authors: Khalil Ezzinbi, Samir Fatajou, Gaston M. N'Guerekata
Format: Article
Language:English
Published: Texas State University 2010-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2010/128/abstr.html
Description
Summary: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.
ISSN:1072-6691