Dynamics of Second Order Lattice Systems with Almost Periodic Nonlinear Part

• Abdallah, Ahmed Y. ^[1]
  1. [1] University of Jordan

     University of Jordan

     Jordania

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 20, Nº 2, 2021
• Idioma: inglés
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• Resumen

  • We investigate the existence of the uniform global attractor for a family of infinite dimensional second order non-autonomous lattice dynamical systems with nonlinear part of the form f (u, t), where we introduce a suitable Banach space W and we assume that( f (·, t), ∂2 f (·, t))is an element of the hull of an almost periodic function ( f0 (·, t), ∂2 f0 (·, t)) with values in W.