Abstract
A microscopic treatment of the consequences for superconductivity of a nonconstant electronic density of states is presented. Generalized Eliashberg gap equations valid for a varying density of states are presented, from which the change of Tc with static or thermal disorder can be calculated. The temperature dependence of the effective mass is shown to be altered by disorder. Use of these results provides a possible experimental approach for deducing the energy variation of the density of states of superconductors.