一类二阶具偏差变元的微分方程周期解的存在性(英文)

On the Existence of Periodic Solutions for a Kind of the Second Order DifferentialEquation with a Deviating Argument

利用重合度理论研究一类二阶具偏差变元的微分方程x(″t)=f(t,x(t),x(t-(τt)))+e(t)的周期解问题,得到了周期解存在的充分条件.

By using the theory of coincidence degree, we study a kind of periodic solutions of the second order differential equation with a deviating argument x＂（t） = f（t, x （t）, x （t-r（t）））＋e（t）, some sufficient conditions on the existence of periodic solutions are obtained.