Initial Problems for Nonlinear Second Order Impulsive Integro differential Equation in Banach Space
Banach空间中二阶非线性脉冲微分积分方程初值问题的整体解

Through solving the problem step-step and by applying Banach fixed-point theorem, under simple conditions, the author has obtained existence and uniqueness and iterative approximation of solution for initial value problems of nonlinear second order impulsive integrol-differential equations in Banach space, and improved and generalized the corresponding results of 1] and 2] for d-0=0. Moreover, the method is different essentially from those in 1],2].