The kinetics of non-colliding medium

In this work the generalization of Poincare-Kozlov theorems has been made. These theorems are concern to the weak convergence of distribution function for $t\to\infty$. The generalization is that the distribution function may be represented as generalized function of the singular type, such as delta-function. It is proved, that the weak limit of the solution of Liouville equation exists and equals to constant.