无限时滞一阶脉冲中立型偏泛函微分方程温和解的存在性

Existence of mild solution for first-order impulsive partial neutral function differential equations with infinite delay

利用Krasnoselski-Schaefer型不动点理论,讨论了形如:d/dt[x(t)-g(t,xt)]=Ax(t)+f(t,xt)的无限时滞一阶脉冲中立型偏泛函微分方程温和解存在性问题.

Using the Krasnoselski-Schaefer type fixed point theorem,we investigated the existence of mild solutions for first-order impulsive partial neutral function differential equations with infinite delay of the form d/dt[x（t）-g（t,xt）]=Ax（t）＋f（t,xt）.