Banach空间中一类带时变脉冲的微分系统

A Class of Systems with Impulses at Variable Times on Banach Spaces

本文考虑了无穷维空间中一类带时变脉冲的半线性微分系统的初值问题。首先,我们引进了适当的温和解,证明了温和解的局部存在性,并讨论了温和解的极大存在区间。进一步,在一定条件下证明了温和解的整体存在性。

In this paper, we consider the initial problems of a class of semi-linear impulsive systems with impulses at variable times on infinite dimensional Banach spaces. Introduce a appropriate mild solution, prove the local existence and overall existence of mild solution.