First-order periodic impulsive semilinear differential inclusions: Existence and structure of solution sets

In this paper, we present some existence results of mild solutions and study the topological structure of solution sets for the following first-order impulsive semilinear differential inclusions with periodic boundary conditions: {(y′−Ay)(t)∈F(t,y(t)), a.e. t∈J∖{t1,…,tm},y(tk+)−y(tk−)=Ik(y(tk−)),k=1,…,m,y(0)=y(b) where J=[0,b]J=[0,b] and 0=t0