LAUSR

This paper is devoted to an investigation of a kind of p-Laplacian generalized Liénard equations with singularities of attractive and repulsive type, where the nonlinear term g has a singularity at the origin. The novelty of the present article is that we show that singularities of attractive and repulsive type enable the achievement of a new existence criterion of a positive periodic solution through an application of the Manásevich–Mawhin theorem on continuity of the topological degree, recent results in the literature are generalized and significantly improved. Finally, some examples are given to show applications of the theorems.