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 form f ( t , x ′ ( t ) ) + g ( t , x ( t - τ ( t ) ) ) = e ( t ) .