一类具偏差变元的三阶微分方程周期解

Periodic Solutions for a Kind of Third Order Differential Equation with a Deviating Argument

利用Mahwin重合度理论研究了一类具偏变元的三阶微分方程x(t)+f(x′(t))+h(x(t)x′(t)+g(x(t-τ(t)))=p(t)的2π周期解问题,得到了周期解存在的一组充分条件.

Employing the continuation theorem of coincidence degree theory developed by Mahwin,we study a kind of third order functional equation with a deviating argument as follows x″′（t）＋f（x′（t））＋h（x（t））x′（t）＋g（x（t-τ（t）））=p（t）At last,we get a group of sufficient conditions of existence of periodic solution.