一类具时滞高阶Rayleigh方程的周期解的先验界性

摘要

Priori bounds are established for periodic solutions of a high order Rayleigh Equation with delay. By means of these bounds, an existence theorem for periodic soulutions can be obtained by means of Mawhin's continuation theorem.%本文首先建立了一类具时滞高阶Rayleigh方程的周期解的先验有界性.进而,借助这些有界性,并利用Mawhin连续定理获得了周期解的存在性定理.