  The complete theory of cosmological evolution's macroscopic description is
constructed with a help of self-consistent field. The theory includes a
subsystem of linear equations of perturbations' evolution and nonlinear
macroscopic Einstein equations and equations of a scalar field. We provide
examples of system's solution which show the principal difference of the
cosmological models of the early Universe built on homogenous and locally
fluctuating scalar fields. {\bf Keywords}: macroscopic gravitation,
self-consistent field, cosmological model, scalar fields, averaging of local
fluctuations, asymptotical behavior, cosmological singularity.
