PERIODIC BOUNDARY VALUE PROBLEMS FOR DISCONTINUOUS IMPULSIVE INTEGRO- DIFFERENTIAL EQUATIONS IN BANACH SPACES
Banach空间不连续脉冲微分-积分方程的周期边值问题

In this paper, the periodic boundary value problem for first order discontinuous impulsive integro-differential equations of mixed type in Banach spaces is investigated. By establishing a comparison theorem and using a fixed point theorem, the existence of maximal and minimal solutions and the successive approximation of solutions are proved. These generalize and improve the corresponding results in some well-known papers.