  The $F_{2}$ structure functions of the inelastic lepton-hadron scattering is
calculated in the case of non-zero intermediate gluon-quarks self-energy
$M_{gq}^{2}$ and quasielastic limit. It is shown that in the quasielastic limit
the evolution equation can been solved in case massive particles as QCD ladder
calculation results. The intermediate gluon-quarks self-energy, or polarization
mass is introduced as a parameter in two cases: 1) has not energy momentum
dependence and 2) momentum dependence case. At the case 1) of massive particles
we compare our result with Shirkov calculates (D.V.Shirkov 1999).It has been
shown (case 2.) that the proton structure function $F_{2}$ calculated at
realistic values of $M_{gq}^{2}$ in high energy limit transfer to standard QCD
ladder calculation results.
