The small x behaviour of the non-singlet structure function is studied
within the double logarithmic approximation (DLA) of perturbative QCD
. Since there is neither k(T) nor theta ordering in the ladder Feynman
graphs, the predicted non-singlet quark densities for the HERA kinema
tical range (x similar to 10(-3)) exceed the values calculated from th
e small-x approximation of the conventional Altarelli-Parisi evolution
by a factor up to ten.