简介:InthispaperwegivetheexistenceofmildsolutionsforsemilinearCauchyproblemsu′(t)=Au(t)+f(t,u(t)),t∈I,a.e.withnonlocalinitialconditionu(0)=g(u)+u_0whenthemapglosescompactnessinBanachspaces.
Existence of Semilinear Differential Equations with Nonlocal Initial Conditions