Periodic solutions for Liénard type p-Laplacian equation with two deviating arguments

In this paper, the Liénard type pp-Laplacian equation with two deviating arguments (φp(x′(t)))′+f(x(t))x′(t)+g1(t,x(t−τ1(t)))+g2(t,x(t−τ2(t)))=e(t)(φp(x′(t)))′+f(x(t))x′(t)+g1(t,x(t−τ1(t)))+g2(t,x(t−τ2(t)))=e(t) is studied. By applying the coincidence degree theory, we obtain some new results on the existence of periodic solutions to this equation. Our results improve and extend some existing ones in the literature.