一类二阶时滞微分方程周期解的存在性

The Existence about Periodic Solution for a Class of Second Order Differential Equations with Delay

利用重合度理论研究一类时滞微分方程ax″(t)+cx′(t)+h(x(′t))x(t)+g[x(t-(τt))]=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.

In this paper, the theory of coincidence degree is used to study the existence of a periodic solution for the differential equation with delay as follows ax″（t）＋cx′（t）＋h（x′（t））x（t）＋g[x（t-τ（t））]=p（t）and a sufficient theorem is obtained for the existence of a periodic solution of the equation.