非线性时滞微分方程的全局渐近稳定性  

On the Global Asymptotic Stability of a Class of Nonlinear Delay Differential Equations

作　　者：李雪臣[1] 沈会焘[1] 苗宝军[1] 

机构地区：[1]许昌学院数学与统计学院,河南许昌461000

出　　处：《许昌学院学报》2014年第5期1-6,共6页Journal of Xuchang University

基　　金：河南省教育厅自然科学基金资助项目(2010A110019;12A110020);河南省基础与前沿研究项目(112300410186);许昌市科技计划项目(1404003);(5014)

摘　　要：考虑一类非线性时滞微分方程,通过讨论相关的齐次方程解的性质,利用常数变易等式,获得了新的全局渐近稳定性的充分条件,补充了已有文献的结果.This paper studies the global asymptotic stability of a class of nonlinear delay differential equations. Though the analysis of the properties of the corresponding solutions of homogeneous equations and by the use of constant variation formula, this study has obtained sufficient conditions of a new global asymptotic stability of the equations, which is a new contribution to relevant studies in this field.

关 键 词：非线性 时滞微分方程 渐近稳定性 

分 类 号：O175.21[理学—数学]