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中立型泛函微分方程的Lipschitz一致渐近稳定性和周期解
引用本文:荆江雁.中立型泛函微分方程的Lipschitz一致渐近稳定性和周期解[J].宁夏大学学报(自然科学版),1999,20(4):299-301.
作者姓名:荆江雁
作者单位:常州教育学院数学系!江苏常州213016
摘    要:首先讨论了中立型泛函微分方程ddtDxt= f(t,xt) 的Lipschitz 一致渐近稳定性,给出了(变分)Lipschitz 一致渐近稳定成立的充分条件- 其次利用变分Lipschitz 一致渐近稳定性讨论了该方程周期解的存在性-

关 键 词:中立型泛函微分方程  Lipschitz一致渐近稳定  变分Lipschitz一致渐近稳定  周期解
文章编号:0253-2328(1999)04-0299-03
修稿时间:1999-04-18

Uniformly asymptotical Lipschitz stability and periodic solution for neutral functional differential equation
Jing Jiangyan.Uniformly asymptotical Lipschitz stability and periodic solution for neutral functional differential equation[J].Journal of Ningxia University(Natural Science Edition),1999,20(4):299-301.
Authors:Jing Jiangyan
Institution:Jing Jiangyan Department of Mathematics,Changzhou Institute of Education,Changzhou 213014,China
Abstract:Uniformly asymptotical Lipschitz stability of solution for neutral functional differential equation(NFDE)and the existence of periodic solutions of NFDE are discussed in the paper.
Keywords:neutral functional differential equation (NFDE)  uniformly asymptotical Lipschitz stability(in variation)  periodic solution  
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