  In this paper, we consider the problem of the evolution of the disk subsystem
of galaxies in view of the halo. To this end, we have studied the dependence of
the evolution of a non-linearly non-radially disk oscillating in its plane
depending on the basic parameters of the dark matter halo numerically. The dark
matter halo stabilizes the instabilities in the plane of the disk, but
destabilizes its vertical oscillations. The global disk structure is dependent
strongly on the mass and shape of the of dark matter halo. The evolutionary
dependence of the oscillation process of a self-gravitating disk versus the
indicated parameters of the dark matter halo are constructed.
