二阶非线性泛函微分方程周期解的存在性

The Existence of a Periodic Solution in the Second Order Non-linear Functional Diffrential Equation

用重合度理论研究二阶非线性泛函微分方程x″(t)+f(x(t))x′(t)+g(x(t-τ(t)))=p(t)的周期解存在性,得出了该方程存在T(T>0)周期解的两个充分性定理.

In this paper, the theory of coincidence degree is used to study the existence of a periodic solution for the second order nonlinear functional differential equation:x″(t)+f(x(t))x′(t)+g(x(t-τ(t)))=p(t),and two sufficient theorems are obtained for the existence of a periodic solution of T(T>0) of the equation.