时间测度链上带有时滞的中立型动力方程的伪概周期解(英文)  

Pseudo Almost Periodic Solutions to Neutral Dynamic Equations with Delay on Time Scales

作　　者：孙喜东[1] 刘柏枫[1] 李希亮[1] 

机构地区：[1]山东工商学院数学与信息科学学院,山东烟台264005

出　　处：《应用数学》2018年第1期30-41,共12页Mathematica Applicata

摘　　要：本文研究时间测度链上伪概周期函数的性质.利用时间测度链上指数型二分性性质以及Banach不动点定理,我们得到时间测度链上带有时滞的中立型动力方程的伪概周期解存在性与唯一性的充分条件.In this paper, we consider some properties of pseudo almost periodic functions on time scales. Using the exponential dichotomy on time scales as well as the Banach fixed-point theorem, we obtain some sufficient conditions of the existence and uniqueness of pseudo almost periodic solutions to some neutral dynamic equations with delay on time scales. An example is taken to illustrate our result.

关 键 词：伪概周期 中立型动力方程 指数型二分性 时间测度 

分 类 号：O175[理学—数学]