Banach空间非线性脉冲Volterra型积分方程整体解的存在性定理及应用

Existence Theorems of Solutions for Nonlinear Impulsive Volterra Integral Equations in Banach Spaces and Applications

利用一个新的比较结果和Monch不动点定理证明了Banach空间中非线性脉冲Volterra型积分方程整体解的存在性定理，并给出了对Banach空间中一阶脉冲微分方程初值问题的应用，改进了文[1－3]中的主要结果．

In this paper, we use a new comparison result and the Monch fixed-point theorem to prove some existence theorems of global solutions for the nonlinear impulsiveVolterra integral equations in Banach spaces that improve the results in [1 - 3]. Then, wegive some applications to initial value problems for first order impulsive differential equations in Banach spaces.