Hyers-Ulam Stability of Linear Quaternion-Valued Differential Equations with Constant Coefficients via Fourier Transform

• Jiaojiao Lv ^[1] ; Kit Ian Kou ^[2] ; JinRong Wang ^[1]
  1. [1] Guizhou University

     Guizhou University

     China

     
  2. [2] University of Macau

     University of Macau

     RAE de Macao (China)

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 21, Nº 4, 2022
• Idioma: inglés
• Enlaces
  • Texto completo (pdf)
• Resumen

  • In this paper, we develop the Fourier transform approach to study the Hyers-Ulam stability of linear quaternion-valued differential equation with real coefficients and linear quaternion-valued even order differential equation with quaternion coefficients. It shows that Fourier transform is valid to find the approximate solutions for quaternion-valued differential equations by considering their corresponding complex representation of quaternion-valued problems. Finally, two examples are given to illustrate the theoretically results.

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