Nonlocal impulsive problems for nonlinear differential equations in Banach spaces

We study the existence and uniqueness of mild and classical solutions for a nonlinear impulsive differential equation with nonlocal conditions {u′(t)=Au(t)+f(t,u(t)),0≤t≤K,t≠ti,u(0)+g(u)=u0,Δu(ti)=Ii(u(ti)),i=1,2,…,p,0