Resumen de Periodic Boundary Value Problem for Impulsive Evolution Equations with Noncompact Semigroup

Weifeng Ma, Yongxiang Li

• 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 Ik satisfy growth conditions and the measure of noncompactness conditions. And we give a specific example to illustrate our main results.