Lv, JiaojiaoWang, JinrongLiu, Rui2023-05-232023-05-232023-02-27Lv, J., Wang, J., & Liu, R. (2023). Hyers-Ulam stability of linear quaternion-valued differential equations. <i>Electronic Journal of Differential Equations, 2023</i>(21), pp. 1-15.1072-6691https://hdl.handle.net/10877/16856In 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.Text15 pages1 file (.pdf)enAttribution 4.0 InternationalHyers-Ulam stabilityLinear quaternion-valued differential equationArticle