Periodic solutions for a kind of Rayleigh equation with two deviating arguments

In this paper, we use the coincidence degree theory to establish new results on the existence of T -periodic solutions for the Rayleigh equation with two deviating arguments of the form x ″ + f ( x ′ ( t ) ) + g 1 ( t , x ( t - τ 1 ( t ) ) ) + g 2 ( t , x ( t - τ 2 ( t ) ) ) = p ( t ) .