带阻尼项的二阶非线性时滞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 for second nonlinear dufferential equations with time lag

研究具时滞的二阶非线性微分方程,利用变量替换和不动点方法,得到此方程概周期解和有解界的存在及唯一性结果,推广了文献[3]的结果.

This paper deals with the problems on the existence and uniqueness of almost periodic and bounded solution for second nonlinear differential equations with time lag. Using the Chang of Variable and fixed point method, we obtain some results on the existence and uniqueness of almost periodic solutions and bounded solutions of the equation. Those results will extend the (result) of [3].