一类二阶中立型时滞微分方程的渐近稳定性  

Asymptotic stability of a class of second-order neutral delay differential equations

作　　者：缪春芳[1] 

机构地区：[1]绍兴文理学院数学系,浙江绍兴312000

出　　处：《浙江师范大学学报（自然科学版）》2008年第1期37-40,共4页Journal of Zhejiang Normal University:Natural Sciences

基　　金：浙江省自然科学基金资助项目(604003)

摘　　要：研究了一类二阶中立型时滞微分方程零解的渐近稳定性,借助于推广的Halanay一维时滞微分不等式,利用构造函数法给出了判定其零解渐近稳定的与时滞无关的一个充分条件.The asymptotic stability of the zero solution about a class of second-order neutral delay differential equation was studied via the generalized one-dimensional Halanay delay differential inequality and the method of contructing function. A sufficient condition which was independent of the time lag to ensure the asymptotic stability of zero solution was established.

关 键 词：中立型时滞微分方程 零解 时滞 渐近稳定性 

分 类 号：O175.12[理学—数学]