Possible deconfinement phase transitions in neutron stars and the influence of phase structure and phase transition behavior on their evolution are reviewed in this paper.Possible existence of the mixed hadron-quark phase was studied by analyzing a solution of the phase...MORE Possible deconfinement phase transitions in neutron stars and the influence of phase structure and phase transition behavior on their evolution are reviewed in this paper.Possible existence of the mixed hadron-quark phase was studied by analyzing a solution of the phase equilibrium of the nuclear matter system with two c...