On the ergodicity of solutions of nonlinear evolution equations with periodic forcings (Q1062003)

We consider the asymptotic behavior of the solution of the initial value problem \[ (1)\quad du(t)/dt+Au(t)\ni f(t),\quad 0\leq t<\infty,\quad u(0)=u_ 0, \] where A is an m-accretive operator on a real Banach space E, \(u_ 0\in \overline{D(A)}\) (domain of A) and \(f: [0,+\infty)\to E\) is a periodic function.