摘要
讨论了一类非齐次线性脉冲微分方程与Kurzweil广义线性常微分方程的关系,建立了此类方程有界变差解的局部存在性和唯一性定理,并利用常数变易法得到其通解公式,讨论了此类方程的有界变差解对参数的连续依赖性定理.
The relation between a class of non-homogeneous linear impulsive differential systems and Kurzweil generalized linear ordinary differential equations is discussed.The local existence and uniqueness theorems of bounded variation solutions for this class of linear impulsive differential equations are established.The formulae of the bounded variational solutions for the linear differential equations with impulses are established with the constant variation method.The continuous dependence on a parameter for the linear differential equations with impulses is discussed.
出处
《西南大学学报（自然科学版）》
CAS
CSCD
北大核心
2012年第1期15-22,共8页
Journal of Southwest University(Natural Science Edition)
基金
国家自然科学基金资助项目(11061031)
关键词
线性脉冲微分方程
Kurzweil广义线性常微分方程
有界变差解
参数的连续依赖性
linear differential equation with impulses
Kurzweil generalized linear ordinary differential equation
locally bounded variation solution
continuous dependence on a parameter
