Asymptotic Stability of a Class of Dynamic Equations on Time Scales with an Application to Logistic Model

摘要：

This article is concerned with the asymptotic behavior of first-order dynamic equations on time scales. By the use of Lyapunov direct method on time scales, the stability of the first-order linear and almost linear dynamic equations is discussed, some results of which are correction, supplement, and extention of the present for the first-order dynamic equations with constant coefficient. The Logistic model is illustrated in the end.

关键词： asymptotic stability dynamic equations on time scales Lyapunov function Logistic model

作者: Ailian Liu

作者单位: Department of Statistics and Mathematics, ShanDong Economic University, Jinan 250014, China

会议类型: 国际会议

会议名称: 中国数学会生物数学分会第六届学术年会

会议地点: 山东泰安

会议语种:英文

页码: 1-7

在线出版日期: 2008-07-25（万方平台首次上网日期，不代表论文的发表时间）