  The model of a multi-level system interacting with several reservoirs is
considered. The exact reduced density matrix evolution could be obtained for
this model without Markov approximation. Namely, this evolution is fully
defined by the finite set of linear differential equations. In this work the
results which were obtained previously for only one Lorentz peak in the
spectral density are generalized to the case of an arbitrary number of such
peaks. The case of the Ohmic contribution in the spectral density is also taken
here into account.
