Stationary solutions of the bogoliubov hierarchy equations in classical statistical mechanics. 2

In the preceding paper under the same title we have formulated a theorem which describes the set of states (i.e., probability measures on phase space of an infinite system of particles in R^v) corresponding to stationary solutions of the BBGKY hierarchy. We have proved the following statement: if G is a Gibbs measure (Gibbs random point field) corresponding to a stationary solution of the BBGKY hierarchy, then its generating function satisfies a differential equation which is "conjugated" to the BBGKY hierarchy. The present paper deals with the investigation of the "conjugated" equation for the generating function in particular cases.