Hyers–Ulam Stability of Linear Homogeneous Quaternion-Valued Difference Equations

• Jiangnan Wang ^[1] ; JinRong Wang ^[1] ; Rui Liu ^[1]
  1. [1] Guizhou University

     Guizhou University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 22, Nº 3, 2023
• Idioma: inglés
• DOI: 10.1007/s12346-023-00818-8
• Enlaces
  • Texto completo
• Resumen

  • In this paper, we consider the Hyers–Ulam stability of the first-order linear homogeneous quaternion matrix difference equation. Furthermore, we prove the Hyers-Ulam stability of the second-order linear homogeneous quaternion-valued forward and backward difference equation by converting them into the first-order quaternion matrix difference equation. Finally, some examples are given to support the theoretical results.

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