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具无限时滞泛函微分方程解的稳定性与有界性
引用本文:魏凤英,王克. 具无限时滞泛函微分方程解的稳定性与有界性[J]. 哈尔滨工业大学学报, 2009, 0(11): 215-218
作者姓名:魏凤英  王克
作者单位:福州大学数学与计算机科学学院;哈尔滨工业大学(威海)数学系
基金项目:国家自然科学基金资助项目(10726062);福州大学科技发展基金资助项目(2007-XQ-18)
摘    要:
以空间Cg为相空间,通过构造合适的Liapunov泛函,在适当的条件下,得到了具有无限时滞泛函微分方程解的一致稳定性和一致渐近稳定性,所得结论与已有结果互不包含.

关 键 词:泛函微分方程  无限时滞  稳定性  有界性

Boundedness and stability of solutions of functional differential equations with infinite delay
WEI Feng-ying,WANG Ke. Boundedness and stability of solutions of functional differential equations with infinite delay[J]. Journal of Harbin Institute of Technology, 2009, 0(11): 215-218
Authors:WEI Feng-ying  WANG Ke
Affiliation:1. College of Mathematics and Computer Science,Fuzhou University,Fuzhou 350108,China;2. Dept. of Mathematics,Harbin Institute of Technology,Weihai 264209,China)
Abstract:
By chosing space Cg as the phase space and constructing the moderate Liapunov functional,the uniform stability and uniformly asymptotic stability of the solutions of functional differential equations with infinite delay are obtained under suitable conditions. The results are different from those given by Dishen and Wang,and they are non-inclusive each other.
Keywords:functional differential equations  infinite delay  stability  boundedness
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