Asymptotic behavior of the solutions of non-autonomous systems in Banach spaces

In this paper we study the weak and strong convergence of the integral solution of the following nonlinear evolution inclusion: u′(t)∈−A(t)u(t)+F(t),t≥0,u(0)=x0u′(t)∈−A(t)u(t)+F(t),t≥0,u(0)=x0, where {A(t):t≥0}{A(t):t≥0} is a family of mm-accretive operators and FF is a multi-function, which extends some results in this area.