A Study on Asymptotically Periodic Behavior for Evolution Equations with Delay in Banach Spaces

• Haide Gou ^[1] ; Yongxiang Li ^[1]
  1. [1] Northwest Normal University

     Northwest Normal University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 23, Nº 1, 2024
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • The goal of this paper is to consider abstract evolution equation with delay in the framework of ordered Banach spaces. Firstly, we investigate the existence of minimal positive S-asymptotically -periodic mild solution for abstract evolution equation with delay on infinite interval. Secondly, based on monotone iterative technique coupled with fixed point theorem, the existence of minimal positive S-asymptotically -periodic mild solution is discussed without assuming the existence of upper and lower solutions in the sense of compact and noncompact semigroups. At the end, applications to partial differential equations are given.

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