On the Stability of Linear Quaternion-Valued Differential Equations

被引：0
|
作者：
Dan Chen
Michal Fečkan
JinRong Wang
机构：
[1] Guizhou University,Department of Mathematics
[2] Comenius University in Bratislava,Department of Mathematical Analysis and Numerical Mathematics, Faculty of Mathematics, Physics and Informatics
[3] Mlynská dolina,Mathematical Institute
[4] Slovak Academy of Sciences,undefined
来源：
Qualitative Theory of Dynamical Systems | 2022年 / 21卷
关键词：
Quaternion-valued differential equations; Exponential estimation; Hyers–Ulam stability;
D O I：
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学科分类号：
摘要：
This paper deals with the stability of linear quaternion-valued differential equations. First, we derive an explicit norm estimation like the matrix exponential function in the sense of quaternion-valued. Second, we use this norm to show that the first-order linear equations are asymptotically stable and Hyers–Ulam’s type stable. Further, we show that nth-order equations are also generalized Hyers–Ulam stability. Some examples which can effectively illustrate the theoretical results are presented.
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