  In this work, we discuss the results of the direct solution of the Eliashberg
equations with finite bandwidth, in the cases of s- and d-wave symmetry for the
pair wave function and in the presence of scattering from impurities. We show
that the reduction of the critical temperature $T_{\mathrm{c}}$ due to the
finite bandwidth depends on the value of the bandwidth itself, but is almost
independent of the symmetry of the order parameter. The same happens for the
shape of $Z(\omega)$ and $\Delta(\omega)$. Moreover, we discuss the effect of
the finite bandwidth on the shape of the quasiparticle density of states. The
results clearly indicate that the infinite bandwidth approximation leads to an
underestimation of the electron-boson coupling constant.
