多时滞三阶微分方程的概周期解

Almost periodic solution of the third order nonlinear differential equation with several delays

通过使用一些新的分析技巧,利用线性系统指数型二分性理论和压缩映象原理给出了多时滞三阶微分方程存在唯一的概周期解的一个实用、简洁的充分条件,并举例说明结果的应用.

By making use of the exponential dichotomy of the linear system and contracting principle, the author investigate a kind of third order nonlinear differential equation with several delays. Some sufficient conditions which guarantee the differential equations has unique almost periodic solution are obtained. An example is given to illustrate the main result.