Electronic Journal of Differential Equations, Vol. 2006(2006), No. 107, pp. 1-11. Title: Periodic solutions for a kind of rayleigh equation with two deviating arguments Authors: Yuanheng Wu (Guangdong Univ., Guangzhou, China) Bing Xiao (Hunan Univ., Hunan, China) Hong Zhang (Hunan Univ., Hunan, China) Abstract: 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 $$ x''+f(x(t), x'(t))+g_{1}(t,x(t-\tau_{1}(t))) +g_{2}(t,x(t-\tau_{2}(t)))=p(t). $$ Submitted January 27, 2006. Published September 8, 2006. Math Subject Classifications: 34C25, 34D40. Key Words: Rayleigh equation; deviating argument; periodic solution; coincidence degree.