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.