| A NEW APPROACH TO STABILITY THEORY OF FUNCTIONAL DIFFERENTIAL EQUATIONS |
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| 引用本文： | Zhang Shunian (Shanghai Jiaotong University). A NEW APPROACH TO STABILITY THEORY OF FUNCTIONAL DIFFERENTIAL EQUATIONS[J]. Annals of Differential Equations, 1995, 0(4) |
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| 作者姓名： | Zhang Shunian (Shanghai Jiaotong University) |
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| 摘 要： | Ａ ＮＥＷ ＡＰＰＲＯＡＣＨ ＴＯ ＳＴＡＢＩＬＩＴＹ ＴＨＥＯＲＹ ＯＦ ＦＵＮＣＴＩＯＮＡＬ ＤＩＦＦＥＲＥＮＴＩＡＬ ＥＱＵＡＴＩＯＮＳＡＮＥＷＡＰＰＲＯＡＣＨＴＯＳＴＡＢＩＬＩＴＹＴＨＥＯＲＹＯＦＦＵＮＣＴＩＯＮＡＬＤＩＦＦＥＲＥＮＴＩＡＬＥ...
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A NEW APPROACH TO STABILITY THEORY OF FUNCTIONAL DIFFERENTIAL EQUATIONS |
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| Zhang Shunian. A NEW APPROACH TO STABILITY THEORY OF FUNCTIONAL DIFFERENTIAL EQUATIONS[J]. 微分方程年刊(英文版), 1995, 0(4) |
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| Authors: | Zhang Shunian |
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| Affiliation: | Shanghai Jiaotong University |
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| Abstract: | In this work, a new approach to stability theory of functional differential equations is proposed. Instead of putting all components of the state variable x in one Liapunov-Razumikhin function, several functions of partial components of x, which can be much easier constructed. are used so that the conditions ensuring that stability are simpler and less restrictive. Also, an example is given to illustrate the advantages of the obtained results. |
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| Keywords: | Functional differential equations uniform stability uniform asymptotic stability. Liapunov-Razumikhin functions. |
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