一类三阶中立型时滞微分方程的渐近稳定性  

Asymttotic Stability of a Class of Third-order Neutral Delay Differentinal Equations

作　　者：董彪[1] 何永春[2] 

机构地区：[1]阿坝师范高等专科学校数学系,四川汶川623002 [2]阿坝师范高等专科学校图书馆,四川汶川623002

出　　处：《数学的实践与认识》2014年第2期199-204,共6页Mathematics in Practice and Theory

基　　金：四川省教育厅自然科学基金(12ZB168;13ZA0040);阿坝师专重点课题(ASA12-22;ASC12-28)

摘　　要：讨论了一类三阶中立型时滞微分方程的零解的渐近稳定性,借助于构造函数、推广的Halanay一维时滞微分不等式及泰塔格利亚公式,得到了判定其零解是渐近稳定的且与时滞无关的一个充分条件.In this paper,the asymptotic stability of the zero solution about a class of thirdorder neutral delay differential equation is studied by using the method of constructing function and the generalized one-dimensional Halany delay differential inequality and Taita Anglia formula.A sufficient condition which is independent from the time-delay to ensure the asymptotic stability of zero solution is established.

关 键 词：中立型微分方程 零解 时滞 渐近稳定性 

分 类 号：O175[理学—数学]