Research the solutions of the ordinary differential equations systems, for homogeneous cristallization model

The method of the eigen values evaluation of matrixes for systems of the homogeneous linear differential equations is developed. These systems arise in macrokinetical models of homogeneous phase transitions. The behaviour of a solution of these systems is investigated by the developed method. Is was shown, that the behaviour of a solution qualitatively depends on a ratio of a size of a critical germ to dimension of a system.