Jiaojiao Lv, Jinrong Wang, Rui Liu
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 January 4, 2023. Published February 27, 2023.
Math Subject Classifications: 34D20.
Key Words: Hyers-Ulam stability; linear quaternion-valued differential equation.
DOI: https://doi.org/10.58997/ejde.2023.21
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| Jiaojiao Lv Department of Mathematics Guizhou University Guiyang, Guizhou 550025, China email: ljj990110@163.com | |
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Jinrong Wang Department of Mathematics Guizhou University Guiyang, Guizhou 550025, China email: jrwang@gzu.edu.cn |
| Rui Liu Department of Mathematics Guizhou University Guiyang, Guizhou 550025, China email: gzliuruiha@163.com |
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