  The situation of the metastable phase decay on the several types of
heterogeneous centers is considered. This publication directly continues "
<EMAIL_ADDRESS>get 0001104 ", "<EMAIL_ADDRESS>get 0001108" and "
<EMAIL_ADDRESS>get 0001112 " . In this section the approximation od the
essential asymptotes is formulated. This approximation is more simple than the
floating monodisperse approximation and the special monodisperse approximation.
The evident advantage of this approximation is the absence of the exponential
nonlinearity.
