Admissibility via Induced Delay Equations

• Luís Barreira ^[1] ; Claudia Valls ^[1]
  1. [1] Universidade de Lisboa

     Universidade de Lisboa

     Socorro, Portugal

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 23, Nº 5, 2024
• Idioma: inglés
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• Resumen

  • We give a new characterization of the existence of an exponential dichotomy for the class of induced delay equations, introduced recently in Barreira and Valls (JDE 391: 396–484, 2024), in terms of the admissibility of a new pair of Banach spaces. Moreover, as a consequence, we give a new application of the theory of induced delay equations to obtain results for nonautonomous delay equations via autonomous equations.