Besicovitch Almost Periodic Solutions to Semilinear Evolution Dynamic Equations with Varying Delay

• Yongkun Li ^[1] ; Weiwei Qi ^[1] ; Bing Li ^[2]
  1. [1] Yunnan University

     Yunnan University

     China

     
  2. [2] Yunnan Minzu University
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 22, Nº 1, 2023
• Idioma: inglés
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• Resumen

  • In this paper, we first put forward a concept of Besicovitch almost periodic functions on time scales defined by Bochner property, and study some fundamental properties of this kind of Besicovitch almost periodic functions, including the closeness to linear operations, translation invariance, composition theorem, etc. Then, as an application of our results, the existence and uniqueness of Besicovitch almost periodic solutions for a class of nonautonomous semilinear evolution dynamic equation with varying delay on time scales are established.