Periodic solution for p-Laplacian Rayleigh equation with attractive singularity and time-dependent deviating argument

Abstract

In this paper, we consider a p-Laplacian singular Rayleigh equation with time-dependent deviating argumentwhere g has an attractive singularity at x = 0. Using the Manásevich-Mawhin continuation theorem, we prove that the equation has at least one T-periodic solution. MSC: 34K13; 34C25

Singularity problems to fourth-order Rayleigh equation with time-dependent deviating argument

“…Nowadays, a good deal of work has been performed on the existence of a positive periodic solution of the Rayleigh equation with a singularity [21][22][23][24]. Wang and Ma [24] in 2015 discussed a kind of singular Rayleigh equation as follows:…”