Abstract: 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 (φp(x(t)-cx(t-σ)) ′) ′ + f(t, x ′(t)) + g(t, x(t-τ(t))) = e(t), some new results on the existence of periodic solutions is obtained.

Key words: periodic solution, deviating argument, coincidence degree