一类泛函微分方程周期解的存在性及其表达式

Existence and Expression of Periodic Solutions of a Class of Functional Differential Equations

利用周期解配成恰当微分方程产生法,给出一类泛函微分方程周期解存在的充分条件,并利用分步求解法给出了相应的周期解表达式.

The present paper deals with the periodic solutions for a class of functional differential equations.Sufficient conditions that guaranteed the existence of periodic solutions for this problem were obtained by the method of pairing exact differential equation. The expressions of periodic solutions were obtained by the fractional step method. Furthermore, some examples were presented to illustrate the main result in this paper.