Bounded Variational Solutions for Linear Differential Equations with Impulses

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.