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hal-00379264, version 1

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

Moez Ayachi (Author to contact preferably) 1, Joël Blot () 1

Abstract and Applied Analysis Vol. 2008 (2008) (2008) Article ID 153285, 13 pages

Abstract: 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.

  • 1:  Marin Mersenne - Pour les Mathématiques, l'Informatique et l'Interdisciplinarité
  • Université Paris I - Panthéon-Sorbonne
  • Domain : Mathematics/Functional Analysis
    Mathematics/Optimization and Control
  • Keywords : Almost periodic solutions – Variational Methods – Neutral Delay Differential Equations
 
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  • From: Moez Ayachi <>
  • Submitted on: Thursday, 30 April 2009 09:01:32
  • Updated on: Wednesday, 13 January 2010 12:46:25