“…At the same time, Rayleigh equations with a singularity were also explored by authors [14,15,16,17,18,19,20,21]. For example, Lu et al [18] discussed p-Laplacian Rayleigh equations with a singularity in 2016 as follows:…”
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.
“…At the same time, Rayleigh equations with a singularity were also explored by authors [14,15,16,17,18,19,20,21]. For example, Lu et al [18] discussed p-Laplacian Rayleigh equations with a singularity in 2016 as follows:…”
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.
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