Hyers–Ulam Stability of Linear Homogeneous Quaternion-Valued Difference Equations

被引：0
|
作者：
Jiangnan Wang
JinRong Wang
Rui Liu
机构：
[1] Guizhou University,School of Mathematics and Statistics
[2] Guizhou University,China and Supercomputing Algorithm and Application Laboratory of Guizhou University and Gui’an Scientific Innovation Company
来源：
Qualitative Theory of Dynamical Systems | 2023年 / 22卷
关键词：
Diagonalizable matrix; Hyers–Ulam stability; Quaternion-valued difference equations;
D O I：
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学科分类号：
摘要：
In this paper, we consider the Hyers–Ulam stability of the first-order linear homogeneous quaternion matrix difference equation. Furthermore, we prove the Hyers-Ulam stability of the second-order linear homogeneous quaternion-valued forward and backward difference equation by converting them into the first-order quaternion matrix difference equation. Finally, some examples are given to support the theoretical results.
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