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Abstract
The purpose of this paper is concerned with the existence of mild solutions and approximate controllability for a class of non-autonomous evolution system with nonlocal conditions in Banach spaces. First, the existence of mild solution is obtained by means of contraction mapping principle. Then sufficient conditions have been presented to establish the approximate controllability by using the sequence method. The application of the theory is explained by an example.
Disclosure statement
No potential conflict of interest was reported by the author(s).
Additional information
Funding
This work was supported by the National Natural Science Foundation of China (Grant No. 12061062, 11661071).