二阶非线性泛函微分方程周期解的存在定理

The Existence Theorem of Periodic Solution in the Second Order Nonlinear Functional Differential Equation

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,可得到此类方程日的T(T>0)周期解存在性的若干新结果,也可推广已有的结果.

By employing the coincidence degree theory,we study a kind of second order functional differential equations with delay as follows x＂（t）＋h（x＇（t））＋f（x（t））x＇（t）＋g（x（t-τ（t）））=p（t）,and some new results on the existence of T（T0）periodic solutions are obtained.Our work generalizes the known result.