脉冲强迫次线性时滞微分系统解的渐近性  

Asymptotic Behavior of Forced Sub-Linear Delay Differential System under Linear Impulsive Perturbations

作　　者：薛亚奎[1] 

机构地区：[1]中北大学理学院,山西太原030051

出　　处：《中北大学学报（自然科学版）》2007年第1期1-5,共5页Journal of North University of China(Natural Science Edition)

基　　金：山西省青年科学基金资助项目(20041004);教育厅科技攻关项目(20061025)

摘　　要：在次线性时滞微分系统的基础上,利用极限与积分的方法,讨论了带强迫项的次线性多时滞微分系统在线性脉冲下的扰动,研究了带强迫项的次线性脉冲时滞微分系统解的渐近性,得到了带强迫项的次线性多时滞微分系统在线性脉冲扰动下系统解渐近吸引的充分性条件.On the basis of sub-linear delay differential system, the forced sub-linear variable delay differential system under linear impulsive perturbations was discussed, and asymptotic property of solution for this system was studied. Sufficient conditions for asymptotic property of all solutions to forced sublinear delay differential system under linear impulsive perturbations are obtained.

关 键 词：脉冲扰动 脉冲微分系统 渐近性 非振动解 强迫 

分 类 号：O175.17[理学—数学]