Variational Methods for Almost Periodic Solutions of a Class of Neutral Delay Equations

We provide new variational settings to study the a.p. (almost periodic) solutions of a class of nonlinear neutral delay equations. We extend Shu and Xu (2006) variational setting for periodic solutions of nonlinear neutral delay equation to the almost periodic settings. We obtain results on the stru...

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Bibliographic Details
Published in:Abstract and Applied Analysis 2008-01, Vol.2008 (1), p.1035-1047
Main Authors: Ayachi, M., Blot, J.
Format: Article
Language:English
Subjects:
Functional Analysis
Mathematics
Optimization and Control
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Summary:We provide new variational settings to study the a.p. (almost periodic) solutions of a class of nonlinear neutral delay equations. We extend Shu and Xu (2006) variational setting for periodic solutions of nonlinear neutral delay equation to the almost periodic settings. We obtain results on the structure of the set of the a.p. solutions, results of existence of a.p. solutions, results of existence of a.p. solutions, and also a density result for the forced equations.
ISSN:1085-3375
1687-0409
DOI:10.1155/2008/153285