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
• DOI: 10.1007/s12346-021-00492-8
• Enlaces
  • Texto completo
• 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.

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