随机脉冲抽象积分方程温和解的存在性

Existence Results of Mild Solution to A Random Impulsive Abstract Integral Equations

利用凝聚映射不动点定理结合积分预解算子理论,研究了一类随机脉冲一阶抽象积分方程,建立并证明了此类问题温和解的存在性。

This paper is concerned with the existence of mild solution to a random impulsive abstract integral equation. Using the condensing mapping fixed point theorem and the integral resolvent operator theo- ry, the existence of mild solutions is established and proven.