具有时滞的非线性微分方程的概周期解的存在性及唯一性

The Existence and Uniqueness of Almost Periodic Solutions forNonlinear Differential Equations with Time Lag

本文研究了一类具有时滞的非线性微分方程的有界解及概周期解的存在性及唯一性问题。利用变量替换和不动点方法及逼近法，我们得到了此类方程有界解和概周期解的存在性及唯一性的一些有趣的新结果。我们的结果大大改进和推广了文［２］的主要结果。

This paper deals with the problems on the existence and uniqueness ofbounded solntions and almost periodic sofutions for a class of nonlinear differentialequations with time lag. Using the change of variable and fixed point method andmethod of approximation, we obtain some interesting and new results on the existenceand uniqueness of bounded solutions and almost periodic solutions of these equations.Our results improve and extend greatly the main results of [2].