一类二阶具偏差变元微分方程周期解

Periodic Solutions for a Class of Second Order Differential Equation with Deviating Arguments

研究具有偏差变元的二阶微分方程x″(t)+h(x′(t))+f(x(t))x′(t)+g(t,x(t-τ(t)))=p(t)的周期解的存在性问题,利用重合度理论,在满足一定条件下,得到方程至少存在一个周期解的新结果.

In this paper, we study the problem on the existence of periodic solutions for a class of second order differential equations x″（t）＋h（x′（t））＋f（x（t））x′（t）＋g（t,x（t-τ（t）））=p（t）. By means of the coincidence degree theory, one new result is obtained under some conditions.