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J. Korean Math. Soc. 2007; 44(3): 673-682
Printed May 1, 2007
Copyright © The Korean Mathematical Society.
Existence and uniqueness of periodic solutions for a kind of Rayleigh equation with a deviating argument
Qiyuan Zhou, Bing Xiao, Yuehua Yu, Bingwen Liu, and Lihong Huang
Hunan University, Hunan University, Hunan University, Hunan University, Hunan University
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: Rayleigh equation, deviating argument, periodic solution, coincidence degree
MSC numbers: 34C25, 34D40
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