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Zbl 1149.34042
Ayachi, M.; Blot, J.
Variational methods for almost periodic solutions of a class of neutral delay equations. (English)
[J] Abstr. Appl. Anal. 2008, Article ID 153285, 13 p. (2008). ISSN 1085-3375; ISSN 1687-0409/e

Summary: We provide new variational settings to study a.p. (almost periodic) solutions of a class of nonlinear neutral delay equations. We extend the variational setting for periodic solutions of nonlinear neutral delay equation by Shu and Xu (2006) 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 on existence of a.p. solutions, and also a density result for the forced equations.

MSC 2000:: *34K14 Almost periodic solutions of functional differential equations
34K40 Neutral equations
47J30 Variational methods

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