Abstract
We report a consistent microscopic theory of superconductivity for strongly correlated electronic systems. The electronic spectrum and superconductivity are studied using the Bogoliubov–Tyablikov Green functions for the projected (Hubbard) electronic operators. The extended Hubbard model is considered where the intersite Coulomb repulsion and the electron-phonon interaction are taken into account. The $$d$$ ‑wave pairing with high- $${{T}_{c}}$$ is found induced by the strong kinematical interaction of electrons with spin fluctuations that proves the spin-fluctuation mechanism of high-temperature superconductivity.
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