一类次线性脉冲时滞微分系统的渐近性  

Asymptotic Behavior of a Class of Sublinear Delay Differential System under Linear Impulsive Perturbations

作　　者：薛亚奎[1] 吴文利[2] 

机构地区：[1]中北大学数学系,山西太原030051 [2]太原城市职业技术学院,山西太原030027

出　　处：《中北大学学报（自然科学版）》2005年第6期391-395,共5页Journal of North University of China(Natural Science Edition)

基　　金：山西省青年基金资助项目(20041004);教育厅科技攻关项目和校科学基金资助项目

摘　　要：在线性时滞微分系统的基础上,利用极限与积分的方法,讨论了次线性多时滞泛函微分系统在线性脉冲下的扰动,研究了线性脉冲时滞微分系统解的渐近性,得到了次线性多时滞泛函微分系统在线性脉冲扰动下系统的所有解都渐近吸引的充分性条件.On the basis of linear delay differential system, the sublinear variable delay ditterential system under linear impulsive perturbations is discussed with limit process and integration method. Asymptotic property of solution for this system is also studied. Sufficient conditions for asymptotic property of all solutions to sublinear delay differential system under linear impulsive perturbations are obtained.

关 键 词：脉冲微分系统 脉冲扰动 渐近性 非振动解 

分 类 号：O175.17[理学—数学]