title: Existence and global exponential stability of periodic solutions for n-dimensional neutral dynamic equations on time scales.
abstract: In this paper, by using the existence of the exponential dichotomy of linear dynamic equations on time scales and the theory of calculus on time scales, we study the existence and global exponential stability of periodic solutions for a class of n-dimensional neutral dynamic equations on time scales. We also present an example to illustrate the feasibility of our results. The results of this paper are completely new and complementary to the previously known results even in both the case of differential equations (time scale [Formula: see text]) and the case of difference equations (time scale [Formula: see text]).
authors.affiliation: Department of Mathematics, Yunnan University, Kunming, 650091 Yunnan People's Republic of China.
authors.forename: Bing
authors.initials: B
authors.lastname: Li
authors.affiliation: Department of Mathematics, Yunnan University, Kunming, 650091 Yunnan People's Republic of China.
authors.forename: Yongkun
authors.initials: Y
authors.lastname: Li
authors.affiliation: School of Mathamatics and Information Science, Qujing Normal University, Qujing, 655011 Yunnan People's Republic of China.
authors.forename: Xuemei
authors.initials: X
authors.lastname: Zhang
keywords: Exponential stability; Neutral delay; Periodic solution; Time scale; n-Dimensional neutral dynamic equations