Relativistic space-like equation

According to Dirac's idea of the space - like consistency conditions,we def ine the space - like wave functions through introducing the space - like fa ctor, which is equivalent to Bethe - Salpeter wave function in physical con tent. The space - like form of Bethe - Salpeter equation of both bound stat e and scatter state are derived in terms of the universal rearranging techn ology of interaction kernel. Moreover, they are extended to many particles case. We also obtain the normalization condition of the space-like function for bound state and the solution of non - homogeneous term in the space - like form of Bethe - Salpeter equation for scatter state. Consequently the formalism of the relativistic space - like equation is finally built.