Hyers-Ulam stability of linear quaternion-valued differential equations

[摘要] 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.

[学科分类] 数学（综合）

[关键词] Hyers-Ulam stability;linear quaternion-valued differential equation