Abstract: The deconvolution problem of the Constituent Quark Model (CQM) in finding the partondistribution function in valon at Q₀² is reduced to an optimum problem and solved successfully with Newton-Raphson method. Moreover, by discretizing the QCD evolution eqs into ordinary simultaneous differential eqs, we obtain the parton distribution functions in valon at arbitary Q² > Q₀², and thus, through convolution, we finally find the Q²-dependent nucleon parton distribution functions in CQM picture.

Key words: the constituent quark model, parton distribution functions deconvolution, QCD evolution eqs