  We propose that the Universe created from "nothing" with relatively small
particles number and quickly relaxed to quasiequilibrium state at the Planck
parameters. The classic cosmological solution for this Universe with
Lambda-term has two branches divided by the gap. The quantum process of
tunneling between the cosmological solution branches and kinetic of the second
order relativistic phase transition in supersymmetric SU(5) model on the GUT
scale are investigated by numerical methods. Einstein equations was solved
together with the equations of relaxation kinetics. Other quantum
geometrodynamics process (the bounce from singularity) and the Wheeler- De Witt
equation are investigated also. For the formation of observable particles
number the model of the slowly swelling Universe in the result of the multiple
reproduction of cosmological cycles is arised naturally.
