Electron. J. Diff. Eqns., Vol. 2006(2006), No. 107, pp. 1-11.

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

Yuanheng Wu, Bing Xiao, Hong Zhang

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.

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Yuanheng Wu
College of Continuing Education
Guangdong University of Foreign Studies
Guangzhou 510420, China
email: wyhcd2006@yahoo.com.cn
Bing Xiao
Department of Mathematics
Hunan University of Arts and Science
Changde, Hunan 415000, China
email: changde1218@yahoo.com.cn
  Hong Zhang
Department of Mathematics
Hunan University of Arts and Science
Changde, Hunan 415000, China
email: hongzhang320@yahoo.com.cn

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