Existence of Periodic Solution for Semilinear Periodic Logistic System with Periodic Impulsive Perturbations on Banach Space

摘要

A class of semilinear periodic logistic system with periodic impulsive perturbations is studied on Banach space. First, we introduce the periodic PC-mild solution for the semilinear impulsive periodic system.Second, we give three sufficient conditions which guarantee the existence of periodic PC-mild solution for the semilinear periodic logistic system with periodic impulsive perturbations. At last, an example is given for demonstration.