Compact Almost Automorphic Function on Time Scales and Its Application

• Li, Yongkun ^[1] ; Shen, Shiping ^[1]
  1. [1] Yunnan University

     Yunnan University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 20, Nº 3, 2021
• Idioma: inglés
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• Resumen

  • In this paper, we first propose a concept of compact almost automorphic functions on time scales, and study some basic properties of compact almost automorphic functions on time scales, including an equivalent characterization of compact almost automorphic functions on time scales, composition theorems of compact almost automorphic functions and the completeness of the space of compact almost automorphic functions. Then, as an application of our results, we prove the existence and global exponential stability of a class of Clifford-valued recurrent neural networks with time-varying delays on time scales, and demonstrate the feasibility of our results by an example.