Electronic spectrum and superconductivity in the extended <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si38.svg"><mml:mi>t</mml:mi></mml:math>–<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si39.svg"><mml:mi>J</mml:mi></mml:math>–<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si40.svg"><mml:mi>V</mml:mi></mml:math> model

A consistent microscopic theory of superconductivity for strongly correlated electronic systems is presented within the extended t-J-V model where intersite Coulomb repulsion and electron-phonon interaction are taken into account. The exact Dyson equation normal anomalous (pair) Green functions derived projected (Hubbard) operators. solved in self-consistent Born approximation self-energy. We obtain d-wave pairing with high-Tc induced by strong kinematical order kinetic energy $\sim t$ electrons spin fluctuations which much larger than exchange J. give small contributions pairing. These results support spin-fluctuation mechanism high-temperature cuprates previously proposed phenomenological models.