Solution of Discontinuous Impulsive Integro-Differential Equations in Ordered Banach Spaces
序Banach空间不连续脉冲积分-微分方程初值问题的解

In this paper, the initial value problem for first order discontinuous impulsive integro-differential equations in ordered Banach spaces is investigated. By establishing a new comparison theorem and using only an upper or lower solution, the unique solution for the first order impulsive integro-differential equations can be obtained. The error estimate of the iterative sequences of approximation solutions is given. The results generalize and improve the corresponding results in some recent well-known papers.