  The explicit expressions for the non-singlet DIS structure functions obtained
at small x by resumming the most singular logarithmic contributions are
discussed and compared in detail with the DGLAP evolution for different values
of x and Q^2. The role played by the initial conditions for the parton
densities currently used in the DGLAP analysis, on the small-$x$ behavior of
the non-singlet structure functions is discussed. Explicit expressions are
presented which implement the NLO DGLAP contributions with our small-x results.
