  We investigate the fermion creation in quantum kinetic theory by applying
``oscillator representation'' approach, which was earlier developed for bosonic
systems. We show that in some particular cases (Yukawa-like interaction, fixed
direction of external vector field) resulting Kinetic Equation (KE) reduces to
KE obtained by time-dependent Bogoliubov transformation method. We conclude
``oscillator representation'' approach to be more universal for the derivation
of quantum transport equations in strong space-homogeneous time-dependent
fields. We discuss some possible applications of obtained KE to cosmology and
particle production in strong laser fields.
