Periodic solution for prescribed mean curvature Rayleigh equation with a singularity

Abstract

Abstract In this paper, we consider the existence of a periodic solution for a prescribed mean curvature Rayleigh equation with singularity (weak and strong singularities of attractive type or weak and strong singularities of repulsive type). Our proof is based on an extension of Mawhin’s continuation theorem.

Keywords

• Periodic solution
• Prescribed mean curvature
• Weak and strong
• Attractive and repulsive
• Rayleigh equation