研究了Banach空间中非线性脉冲积分-微分方程初值问题解的存在性。在比较宽松的紧性条件下,利用Mnch不动点定理,通过引进等价范数,递归法和拟幂零算子,建立了新的存在性定理,推广和改进了于立新和刘立山在2003所建立的相关结果。
The existence of solutions for initial value problems of impulsive integro-differential equa- tion in Banach spaces is studied. By using the Mhnch fixed point theorem, the equivalent norm~ the recurrence method and the quasi-nilpotent operator, new existence theorems are obtained under a weaker compactness-type condition, which generalize and improve some related results that Yu and Liu established in 2003.