一类非线性中立型时滞微分方程周期解的存在性

EXISTENCE OF PERIODIC SOLUTION FOR NONLINEAR NEUTRAL DELAY DIFFERENTIAL EQUATION

本文利用抽象连续定理,研究了一类非线性时滞微分方程x'(t)=f(t,x(t),x(t-(?)),x'(t-(?)))+p(t)的周期解问题,并在滞量(?)的不同范围内分别得到了周期解存在的充要条件.

By using the abstract continuity theorem, we study the problem of periodic solution of the nonlinear neutral differential equation x'(t) = f(t, x(t), x(t-(?)),x'(t-(?)))+p(t) and obtain sufficient conditions for the existence of periodic solutions related with delay (?).