Hyers-Ulam Stability of Linear Quaternion-Valued Differential Equations with Constant Coefficients via Fourier Transform

被引：0
|
作者：
Jiaojiao Lv
Kit Ian Kou
JinRong Wang
机构：
[1] Guizhou University,Department of Mathematics
[2] University of Macau,Department of Mathematics, Faculty of Science and Technology
来源：
Qualitative Theory of Dynamical Systems | 2022年 / 21卷
关键词：
Fourier transform; Hyers-Ulam stability; Linear quaternion-valued differential equation;
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摘要：
In this paper, we develop the Fourier transform approach to study the Hyers-Ulam stability of linear quaternion-valued differential equation with real coefficients and linear quaternion-valued even order differential equation with quaternion coefficients. It shows that Fourier transform is valid to find the approximate solutions for quaternion-valued differential equations by considering their corresponding complex representation of quaternion-valued problems. Finally, two examples are given to illustrate the theoretically results.
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