We propose a new method for extracting neutron structure functions from inclusive structure functions of nuclei, which employs an iterative procedure of solving integral convolution equations. Unlike earlier approaches, the new method is applicable to both spin-averaged and spin-dependent structure functions. We test the reliability of the method on unpolarized F-2 and polarized g(1) structure functions of the deuteron in both the nucleon resonance and deep inelastic regions. The new method is able to reproduce known input functions of almost arbitrary shape to very good accuracy with only several iterations.
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