Positive periodic solutions for a $\phi$-Laplacian generalized Rayleigh equation with a singularity

Abstract

This paper explores the existence of positive periodic solutions to a φ -Laplacian generalized Rayleigh equation with a singularity as, where the function g has a repulsive singularity at v = 0. According to the Manásevich-Mawhin continuation theorem, we prove the existence of positive periodic solutions to this equation. This result is feasible for the cases of a strong or weak singularity.