Magnetic impurity effect on the superconductivity in the systems with comparative values of the Fermi energy and Debye energy

The basic system of equations of the superconductivity theory for the systems with chaotically distributed paramagnetic substitution impurity, wherein the Migdal theorem is violated, is obtained. The electron-phonon and impurity diagrams, as well as additional diagrams, corresponding to intersection of electron-phonon and electron-impurity lines, are accounted for. The equation for the temperature of the TC superconducting transition, which differs from the case of normal superconductors by renormalization of theTC value and impurity scattering parameter, is obtained for the limited case of weak electron-phonon coupling. These values essentially depend on the Migdal parameter and transmitted pulse. It is shown, that decrease in the TC value with growth of the impurity concentration is slowed down as compared to the case of normal superconductors