具偏差变元的Rayleigh方程周期解问题

Periodic Solutions for a Kind of Rayleigh Equation with a Deviating Argument

利用Mawhin重合度拓展定理研究了一类具偏差变元的Rayleigh方程x”(t)+f(x'(t))+g(x(t-τ(t)))=p(t)周期解问题,得到了周期解存在性的若干新的结果,推广了已有的结果(见文[8]).

By employing the continuation theorem of coincidence degree theory developed by Mawhin, we study a kind of Rayleigh equation with a deviating argument as follows x11(t) + f(x'(t)) + g(x(t -?τ(t))) = p(t), and some new results on the existence of periodic solutions are obtained. Our work generalizes the knowen result (see [8]).