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

Abstract

In this paper, the Liénard type p -Laplacian equation with two deviating arguments ( φ p ( x ′ ( t ) ) ) ′ + f ( x ( t ) ) x ′ ( t ) + g 1 ( t , x ( t − τ 1 ( t ) ) ) + g 2 ( t , x ( t − τ 2 ( 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.