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.
出处
《数学的实践与认识》
CSCD
北大核心
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)
关键词
中立型微分方程
零解
时滞
渐近稳定性
neutral differential equation
zero solution
time-delay
asymptotic stability
