具偏差变元的Rayleigh方程的周期解

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

研究了一类具偏差变元的非自治Rayleigh方程x″(t)+f(t,x′(t))+g(t,x(t-τ(t)))=p(t)的周期解问题,利用Mawhin延拓定理和一个改进的先验估计,获得了一些新的结果.同时也改进并推广了已有文献中的一些结果.

Existence of periodic solutions for a kind of non-autonomous Rayleigh equations with a deviating argumentx^n（t）＋f（t,x＇（t））＋g（t-τ（t））=p（t） is studied, and some new results are obtained. Our work generalizes and improves the known results in the literature.