  It seems likely that the generalized Einstein equations are not complete and
only partly account for the effect on the Universe dynamics of that part of the
energy of the space environment the change of which is purely geometric. There
are offered the generalized Einstein's equations, describing not only the
gravity forces, but also the cosmological forces of repulsion, which are
geometric in their nature.
  The generalized Einstein equations are used to derive the cosmological
Friedman's equations describing the dynamics of a homogeneous isotropic
universe with the influence of cosmological repulsion forces. We propose a
cosmological model of the universe based on these equations. Application of the
model for explanation of the observations is considered here.
