# EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS FOR A KIND OF RAYLEIGH EQUATION WITH A DEVIATING ARGUMENT

• Zhou, Qiyuan ;
• Xiao, Bing ;
• Yu, Yuehua ;
• Liu, Bingwen ;
• Huang, Lihong
• Published : 2007.05.31
• 54 8

#### Abstract

In this paper, we use the coincidence degree theory to establish new results on the existence and uniqueness of T-periodic solutions for a kind of Rayleigh equation with a deviating argument of the form $x'+f(x'(t))+g(t,\;x(t-\tau(t)))=p(t)$.

#### Keywords

Rayleigth equation;deviating argument;periodic solution;coincidence degree

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