On the almost periodic solutions of Lattices equations

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

AMS Subject Classifications::

• 34K14
• 34K31
• 58E30