Abstract
In this paper the spin-dependent singlet and nonsinglet structure functions have been obtained by solving Dokshitzer, Gribov, Lipatov, Altarelli, Parisi evolution equations in leading order and next to leading order in the small $x$ limit. Here we have used Taylor series expansion and then the method of characteristics to solve the evolution equations. We have also calculated $t$ and $x$ evolutions of deuteron structure functions, and the results are compared with the SLAC E-143 Collaboration data.
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