New positive periodic solutions to singular Rayleigh prescribed mean curvature equations

Abstract

Abstract This paper is concerned with the existence of positive periodic solutions for the prescribed mean curvature Rayleigh equations with a singularity. Our results are based on the Manásevich-Mawhin continuation theorem. The results to be obtained here extend the existing ones in the literature. Moreover, an example is given to illustrate the applicability of our results.

Keywords

• positive periodic solution
• Manásevich-Mawhin continuation theorem
• prescribed mean curvature Rayleigh equation
• singularity