Hyers–Ulam Stability of Linear Recurrence with Constant Coefficients Over the Quaternion Skew Yield

• Yuqun Zo ^[1] ; Michal Feckan ^[2] ; JinRong Wang ^[1]
  1. [1] Guizhou University

     Guizhou University

     China

     
  2. [2] Comenius University

     Comenius University

     Eslovaquia

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 22, Nº 1, 2023
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • In this paper, we discuss the Hyers–Ulam stability of the linear recurrence over the quaternion skew yield by considering the associated first-order matrix difference equations in complex Banach space. Firstly, we show the Hyers–Ulam stability result for the first-order quaternion-valued linear recurrence. Secondly, we give the sufficient conditions to present the Hyers–Ulam stability of the second-order quaternion-valued linear recurrence. Further, we extend to derive the general result for the higher-order quaternion-valued linear recurrence. Finally, examples are presented to illustrate the theoretical results.

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