| STABILITY CRITERIA IN TERMS OF TWO MEASURES FOR DELAY DIFFERENTIAL EQUATIONS |
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| 引用本文： | 寇春海,张书年. STABILITY CRITERIA IN TERMS OF TWO MEASURES FOR DELAY DIFFERENTIAL EQUATIONS[J]. 应用数学和力学(英文版), 2002, 23(3): 311-320. DOI: 10.1007/BF02438338 |
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| 作者姓名： | 寇春海 张书年 |
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| 作者单位： | KOU Chun-hai，ZHANG Shu-nian (Department of Applied Mathematics，Shanghai Jiaotong University，Shanghai 200240 P. R China) (Communicated by LIU Zeng-rong) |
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| 基金项目： | theNationalNaturalScienceFoundationofChina( 1 983 1 0 3 0 ) |
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| 摘 要： | ＩｎｔｒｏｄｕｃｔｉｏｎＡｓｗｅｋｎｏｗ ,ｉｎｔｈｅｉｎｖｅｓｔｉｇａｔｉｏｎｏｆｔｈｅｐｒｏｐｅｒｔｉｅｓｏｆｓｏｌｕｔｉｏｎｓｆｏｒｎｏｎｌｉｎｅａｒｄｉｆｆｅｒｅｎｔｉａｌｅｑｕａｔｉｏｎｓ,ｔｈｅｍｅｔｈｏｄｏｆｖａｒｉａｔｉｏｎｏｆｐａｒａｍｅｔｅｒｓｉｓａｎｅｆｆｅｃｔｉｖｅｔｏｏｌｉｎｔｈｅｃａｓｅｔｈａｔｔｈｅｃｏｒｒｅｓｐｏｎｄｉｎｇｕｎｐｅｒｔｕｒｂｅｄｔｅｒｍｓａｒｅｌｉｎｅａｒｏｒｏｆｃｅｒｔａｉｎｓｍｏｏｔｈｎｅｓｓｔｈｏｕｇｈｔｈｅｙａｒｅｎｏｎｌｉｎｅａｒ.Ｏｎｔｈｅ…
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| 收稿时间： | 2001-03-25 |
Stability criteria in terms of two measures for delay differential equations |
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| Kou Chun-hai Associate Professor, Doctor,Zhang Shu-nian. Stability criteria in terms of two measures for delay differential equations[J]. Applied Mathematics and Mechanics(English Edition), 2002, 23(3): 311-320. DOI: 10.1007/BF02438338 |
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| Authors: | Kou Chun-hai Associate Professor Doctor Zhang Shu-nian |
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| Affiliation: | Department of Applied Mathematics, Shanghai Jiaotong University, Shanghai 200240 P. R China |
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| 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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| Keywords: | delay differential equations variational Liapunov method stability two measures |
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