一类Rayleigh方程的周期解

The periodic solutions of a kind of Rayleigh equations

根据Rayleigh方程的特点,结合相平面分析和泛函方法,给出了同伦方程的先验界,利用叠合度理论得到周期解的存在性.

According to the characteristics of Rayleigh equations,combining phase-plane analysis with functional method,we put out a prior bound of homotop equation.Then,we use coincidence degree and get the existence of periodic solutions.