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On the almost periodic solutions of Lattices equations
Authors:Moez Ayachi
Affiliation:1. Faculté des Sciences de Gabès, Département de Mathématiques , Cité Erriad , 6072 Gabès , Tunisia Moez.Ayachi@univ-paris1.fr
Abstract:By using the Ekeland variational principle and the calculus of variations in mean, we study the existence of almost periodic solutions of a class of advanced-retarded differential equation. We show that under some hypothesis, for any given almost periodic forcing term can be ‘perturbed’ so that the corresponding forced equation admits an almost periodic solution.
Keywords:almost periodic solutions  advanced-retarded differential equations  Ekeland variational principle
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