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Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (3): 311-320.

• 论文 • 上一篇    下一篇

STABILITY CRITERIA IN TERMS OF TWO MEASURES FOR DELAY DIFFERENTIAL EQUATIONS

寇春海, 张书年   

  1. Department of Applied Mathematics, Shanghai Jiaotong University, Shanghai 200240, P. R China
  • 收稿日期:2001-03-25 修回日期:2001-11-20 出版日期:2002-03-18 发布日期:2002-03-18
  • 基金资助:
    the National Natural Science Foundation of China(19831030)

STABILITY CRITERIA IN TERMS OF TWO MEASURES FOR DELAY DIFFERENTIAL EQUATIONS

KOU Chun-hai, ZHANG Shu-nian   

  1. Department of Applied Mathematics, Shanghai Jiaotong University, Shanghai 200240, P. R China
  • Received:2001-03-25 Revised:2001-11-20 Online:2002-03-18 Published:2002-03-18
  • Supported by:
    the National Natural Science Foundation of China(19831030)

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摘要： By using the variational Liapunov method, stability properties in terms of two measures for delay differential equations are discussed. In the case that the unperturbed systems are ordinary differential systems, employing auxiliary measure h*(t,x), criteria on nonuniform and uniform stability in terms of two measures for delay differential equations are established.

Abstract: By using the variational Liapunov method, stability properties in terms of two measures for delay differential equations are discussed. In the case that the unperturbed systems are ordinary differential systems, employing auxiliary measure h*(t,x), criteria on nonuniform and uniform stability in terms of two measures for delay differential equations are established.

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