Pseudo Affine-Periodic Solutions for Delay Differential Systems

Du, Jiayin ^[1] ; Yang, Xue ^[2] ; Wang, Shuai ^[2]
1. [1] Jilin University
  
  Jilin University
  
  China
2. [2] Changchun University of Science and Technology
  
  Changchun University of Science and Technology
  
  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 prove the existence and uniqueness of pseudo affine-periodic solutions for differential systems with finite or infinite delay via exponential dichotomy and some fixed point theorems. These solutions possess certain spatiotemporal structure and they might be periodic, rotating-periodic, or affine-periodic, even quasi-periodic.