Hyers-Ulam stability of linear quaternion-valued differential equations
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Date
2023-02-27
Authors
Lv, Jiaojiao
Wang, Jinrong
Liu, Rui
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Hyers-Ulam stability, Linear quaternion-valued differential equation
Citation
Lv, 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.