一类高阶时滞非线性方程周期解的存在性

Existence about periodic solution to a class of higher order nonlinear equations with delay

利用重合度理论研究一类高阶时滞微分方程ax(n)(t)+cx′(t)+h(x(′t))x(t)+g[x(t-τ(t))]=p(t)周期解的存在性,得到了该方程T(T>0)周期解存在的充分性定理.

By employing the coincidence degree theory, a class of higher order differential equation with delay such as ax^（n）（t）＋f（x（t））x＇（t）＋h（x＇（t））x（t）＋g[x（t-τ（t））]=p（t） is studied. A sufficient theorem is obtained for the existence of a T periodic solution to the equation.