In this paper, we study the existence of periodic solutions for Rayleigh equation with a singularity of repulsive typewhere α ≥ 1 is a constant, and ϕ and p are T-periodic functions. The proof of the main result relies on a known continuation theorem of coincidence degree theory. The interesting point is that the sign of the function ϕ(t) is allowed to change for t ∈ [0, T].
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.