含有两个时滞项的退化时滞微分方程周期解

The Periodic Solution of Singular Differential Equation with Two Time-Delays

讨论了含有两个时滞项退化时滞微分方程的周期解的问题,特别的,给出了此类方程存在非常数周期解的充要条件,并对二维退化微分方程给出了非常数周期解存在性的代数判据,并在最后给出一个例子验证了判据的有效性.

The problem of periodic solutions of singular differential equation with delays is discussed in this paper. Particularly, necessary and sufficient conditions are obtained for the existence of periodic solution and the criteria of existence of periodic solution of two-dimensional singular differential equation with delay is also given. Finally a numeric example is presented to verify the validity of the criteria.