Hyers-Ulam stability of linear quaternion-valued differential equations

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.

Rights

Attribution 4.0 International

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