%0 Journal Article
%T 测度泛函微分方程的Lyapunov稳定性<br>Lyapunov Stability of Measure Functional Differential Equations
%A 周云菲
%A 李宝麟
%J Pure Mathematics
%P 197-208
%@ 2160-7605
%D 2022
%I Hans Publishing
%R 10.12677/PM.2022.121024
%X <div style=\"text-align:justify;\">
	利用广义常微分方程与测度泛函微分方程的等价关系，定义了测度泛函微分方程的稳定，渐进稳定及指数稳定的概念，并借助此概念及Lyapunov泛函证明了测度泛函微分方程稳定性的相关定理。<br />
By using the equivalent relation between generalized ordinary differential equations and measure functional differential equations, we define notions of the stability, asymptotic and exponential stability of measure function differential equations. Furthermore, according to the notions and Lyapunov function, the theorems of Measure functional differential equations are established.
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%K 广义常微分方程，测度泛函微分方程，Lyapunov泛函，稳定，渐进稳定，指数稳定<br>Generalized Ordinary Differential Equations
%K Measure Functional Differential Equations
%K Lyapunov Function
%K Stability
%K Asymptotic Stability
%K Exponential Stability
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=48371