New Recurrent Solutions to Differential Equations with Piecewise Constant Arguments

• Dong-Sheng Lin ^[1] ; Yong-Kui Chang ^[1]
  1. [1] Xidian University

     Xidian University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 24, Nº 3, 2025
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • In this paper, we show how to explore some properties of vector-valued pseudo Sasymptotically (ω, c)-periodic functions and sequences to examine the existence and uniqueness of pseudo S-asymptotically (ω, c)-periodic solutions to differential equations with piecewise constant arguments in Banach spaces. Pseudo S-asymptotically (ω, c)-periodic solutions considered in this paper can be unbounded and also cover bounded solutions such as pseudo S-asymptotically ω-periodic solutions, pseudo Sasymptotically ω-antiperiodic solutions and pseudo S-asymptotically Bloch periodic solutions as special cases.

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