Periodic Boundary Value Problem for Impulsive Evolution Equations with Noncompact Semigroup

In this paper, by applying the Sadovskii's fixed point theorem, we obtain the existence and uniqueness result of mild solution for a class of periodic boundary value problem of impulsive evolution equations in Banach space with noncompact semigroup in the case that the nonlinearity term f and impulsive functions I-k satisfy growth conditions and the measure of noncompactness conditions. And we give a specific example to illustrate our main results.