二阶非线性泛函微分方程的周期解

Periodic solution in second order nonlinear functional differential equations

利用重合度理论研究一类二阶时滞泛函微分方程x″(t)+h(x′(t))+f(x(t))x′(t)+g(x(t-τ(t)))=p(t)周期解问题,得到了周期解存在性的若干新的结果,推广了已有的结果。

By employing the coincidence degree theory, a kind of second order functional differential equations with delay such as x″（t）＋h（x′（t））＋f（x（t））x′（t）＋g（x（t-τ（t）））=P（t） is studied. Some new results on the existence of periodic solutions are obtained, which generalizes the known results.