时滞n阶非线性非自治微分方程周期解的存在性

Existence of periodic solutions for n-th order nonlinear non-automous differential equations with delays

首次考虑具连续时滞和离散时滞的n阶非线性非自治微分方程周期解的存在性问题,利用重合度理论给出了两个这类方程存在周期解的充分性判据.并将所得结果应用于生态方程的研究,得到较好的结果.

n -th order nonlinear nonautonomous differential equation with both continuous delays and discrete delaysis considered. By using the coincidence degree theory, the author gives two set of sufficient conditions to guarantee the existence of periodic solution of above system. Those results are then apply to some bio-mathematics model.