一类中立型泛函微分方程的概周期解及稳定性

The Almost Periodic Solutions to a Class of Neutral Functional Differential Equations and Their Stability

研究一类具有有限时滞的中立型泛函微分方程的概周期解的存在性、唯一性及稳定性等问题.利用指数型二分性理论和不动点方法,以及相关分析技巧,得到关于该方程的概周期解的存在性、唯一性及稳定性的新结果.

The work deals with the almost periodic solutions to a class of neutral functional differential equations with finite delay. By applying exponential dichotomy theory and fixed point method as well as some skills of analysis, the author obtains some new results on the existence, uniqueness and stability of almost periodic solutions to these equations.