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泛函微分方程解的指数渐近稳定性与有界性
引用本文:迪申加卜. 泛函微分方程解的指数渐近稳定性与有界性[J]. 大学数学, 2002, 18(3): 1-3
作者姓名:迪申加卜
作者单位:武警学院,基础部,数学教研室,廊坊,065000
摘    要:本文研究了具有有限时滞中立型泛函微分方程解的有界性问题 ,得到了方程解的指数渐近稳定性蕴涵有界解的存在性的新的结果

关 键 词:中立型微分方程  有限时滞  指数渐近稳定性  有界性
文章编号:1007-4120(2002)03-0001-03
修稿时间:2001-07-19

Exponentially Asymptotic Stability and Boundedness of the Solutions of Functional Differential Equations
DISHEN Jiabu. Exponentially Asymptotic Stability and Boundedness of the Solutions of Functional Differential Equations[J]. College Mathematics, 2002, 18(3): 1-3
Authors:DISHEN Jiabu
Abstract:In this paper, the boundedness of the solutions to neutral functional differential equations with finite delay has been studied. w e proved that the exponentially asymptotic stability of solutions implies th e existence of bounded solutions under Lipschitz condition.
Keywords:neutral differential equations  finite delay  exp onentially asymptotic stability  boundedness
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