The aim of this article is to study approximate controllability of a class of non-autonomous Sobolev type integro-differential equations having non-instantaneous impulses with nonlocal initial condition. The results will be proved with the help of evolution system and Krasnoselskii fixed point theorem. An example is presented to show how our abstract results can be applied.

中文翻译：

---

具有非局部和非瞬时脉冲条件的非自治Sobolev型积分微分方程的近似可控性

本文的目的是研究一类具有非瞬时脉冲且具有非局部初始条件的非自治Sobolev型积分微分方程的近似可控性。借助进化系统和Krasnoselskii不动点定理将证明结果。给出了一个例子来说明如何应用我们的抽象结果。