一类具时滞的Rayleigh型泛函微分方程反周期解的存在性

摘要

应用Leray Schauder不动点定理,研究了一类具时滞的Rayleigh型泛函微分方程:x"(t)+f(x'(t))+g(x(t-τ(t)))=e(t)的反周期解问题,得到了反周期解存在的新的结果.%By means of Leray Schauder fixed point theorem,the authors study a Rayleigh type functional differential equation with a deviating argument as follows: x"(t)+f(x'(t))+g(x(t-τ(t)))=e(t).A new result on the existence of anti-periodic solution is obtained.