BBGKY-hierarchies and Vlasov's equations in postgalilean approximation

The so-called “no interaction theorem” of D.G. Currie, T.F. Jordan and E.C. Sudarschan make it possible to construct relativistic quasiclassical dynamics and based on it statistical mechanics in the postgalilean approximation only. This paper deals with constructing equilibrium and non-equilibrium BBGKY-hierarchies, equilibrium one-body distributions and Vlasov's kinetic equations in this approximation. The results are obtained for particles of arbitrary contravariant tensor valency in both Lagrange and Hamilton variables.