EXISTENCE RESULTS FOR IMPULSIVE SYSTEMS WITH NONLOCAL CONDITIONS IN BANACH SPACES

According to semigroup theories and Sadovskii fixed point theorem, this paper is mainly concerned with the existence of solutions for an impulsive neutral differential and integrodifferential systems with nonlocal con- ditions in Banach spaces. As an application of this main theorem, a practical consequence is derived for the sub-linear growth case. In the end, an example is also given to show the application of our result.