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In this paper, by using the continuation theorem of coincidence degree theory and some analysis methods, we study a kind of periodic solutions to p-Laplacian neutral functional differential equation with a deviating argument (?p(x(t)-cx(t-σ))0)0+f(t, x0(t))+g(t, x(t-τ(t)))=e(t), some new results on the existence of periodic solutions is obtained.