研究了一类含有“一般”时延的高阶泛函微分方程的周期解问题，将原方程化为等价的泛函微分方程，并利用该等价泛函微分方程的特征方程，得到了原方程具有周期解的充分必要条件，即其等价方程的特征方程具有不为零的纯虚根。关 键 词 高阶泛函微分方程; 周期解; 等价方程; 时延with “general” delays is studied. By changing the original equations into its equivalent FDEs and using the characteristic equation of the equivalent FDEs, the sufficient and necessary condition on which the periodic solutions of the original equations exist is presented, i.e., characteristic equation of the equivalent FDEs has nonzero imaginary solutions.Key words high-order functional differential equation; periodic solution; equivalent equation; delay
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