线性脉冲微分方程初值问题的ω-周期解(英文)  

ω-Periodic Solutions to Initial Value Problem for Linear Impulsive Diferential Equations

作　　者：卢金芳[1] 李宝麟[1] 

机构地区：[1]西北师范大学数学与统计学院,兰州730070

出　　处：《工程数学学报》2013年第6期911-922,共12页Chinese Journal of Engineering Mathematics

基　　金：The National Natural Science Foundation of China(11061031)

摘　　要：本文利用广义常微分方程理论,得到了线性脉冲微分方程的通解公式,并利用ω-周期解的定义和线性代数方程的性质,得到了线性脉冲微分方程初值问题的ω-周期解.In this paper, by using the generalized ordinary differential equation theory, the general solution formula of linear impulsive differential equations are given. And by using the definition of ω-periodic solutions and properties of linear algebraical equations, the ω-periodic solutions to initial value problem for linear impulsive differential equations are obtained.

关 键 词：线性脉冲微分方程 广义线性常微分方程 初值问题 周期解 

分 类 号：O175.12[理学—数学]