On the Second Lyapunov Method for Quaternionic Differential Equations

被引：0
|
作者：
Song Huang
Fuli He
机构：
[1] Central South University,School of Mathematics and Statistics
来源：
Qualitative Theory of Dynamical Systems | 2021年 / 20卷
关键词：
Quaternion differential equation; The second Lyapunov method; Stability; Periodic solution; 34D08; 20G20; 34K23; 37C60;
D O I：
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摘要：
In this paper we mainly study the stability of quaternion-valued differential equations. We first establish the second Lyapunov method over quaternion field and then we use this theory to study the stability in both autonomous systems and periodic non-autonomous systems cases.
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