Anti-periodic solutions for a class of nonlinear second-order Rayleigh equations with delays

In this paper, we use the Leray-Schauder degree theory to establish some new results on the existence and uniqueness of anti-periodic solutions for a kind of nonlinear second-order Rayleigh equations with delays of the formx″+f(t,x′(t))+g(t,x(t-τ(t)))=e(t).x″+f(t,x′(t))+g(t,x(t-τ(t)))=e(t).