Electronic Journal of Differential Equations, Vol. 2023 (2023), No. 21, pp. 1-15.

Title: Hyers-Ulam stability of linear quaternion-valued differential equations
       
Authors: Jiaojiao Lv (Guizhou Univ., Guiyang, Guizhou, China)
         Jinrong Wang (Guizhou Univ., Guiyang, Guizhou, China)
         Rui Liu (Guizhou Univ., Guiyang, Guizhou, China)

Abstract:  
In this article, we study the Hyers-Ulam stability of the first-order linear
quaternion-valued differential equations.
We transfer a linear quaternion-valued differential equation into a real differential
system. The Hyers-Ulam stability results for the linear quaternion-valued differential
equations are obtained according to the equivalent relationship between the vector
2-norm and the quaternion module.

Submitted anuary 4, 2023. Published February 27, 2023.
Math Subject Classifications: 34D20.
Key Words: Hyers-Ulam stability; linear quaternion-valued differential equation.