Controllability Of Evolution Differential Inclusion In Banach Space

There are many uncertain phenomena in nature, so, diferential inclusions isused in common. Compared to other systems of diferential equations, diferentialinclusion system is more powerful and inclusive. In fact, many systems of real-worldare special cases of some diferential inclusions, for example, multiple body system-s,linear time-invariant system and so on. so, How to establish a stable diferentialinclusion system become the main subject of study today.In this article, the problem to be solved is split into several small problems.The advantage of this method is that every little problem is relatively simple andeasy. Finally, the proof of controllability of diferential inclusion in Banach spaceis finished. he application of this method is relatively easy to understand, but alsocan be popularized to other corresponding diferential inclusion model.