The strong coupling or Eliashberg equations of superconductivity have been generalised to describe strongly correlated systems. Calculations show that d-wave superconductivity is stable for small hole doping. It also follows that in correlated systems one should define three different Eliashberg functions and corresponding electron- phonon coupling constants λ_{N}, λ_{S} and λ_{tr} (to describe normal (N), superconducting (S) and transport (tr) properties) each of which is measured in different kind of experiment.
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