一类具偏差变元Rayleigh方程周期解的存在性(英文)

On the Existence of Periodic Solutions to a Kind of Ravleigh Equation With a Deviating Argument

作者研究一类具偏差变元Ralyleigh方程周期解的存在性问题,利用重合度拓展定理得到了周期解存在性结论.有意义的是本文周期解先验界估计的方法与已有的工作均不相同.

By employing the continuation theorem of coincidence degree theory, the authors obtain some new results on the existence of periodic solutions to a kind of Rayleigh equation with a deviating argument. The significant is that the methods in this paper to estimate a priori bounds of periodic solutions are different from the corresponding ones of the past work.