| SOME KINDS OF LIAPUNOV FUNCTIONAL IN STABILITY THEORY OF RFDE |
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| 引用本文： | 杜雪堂. SOME KINDS OF LIAPUNOV FUNCTIONAL IN STABILITY THEORY OF RFDE[J]. 应用数学学报(英文版), 1995, 11(2): 214-224. DOI: 10.1007/BF02013157 |
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| 作者姓名： | 杜雪堂 |
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| 作者单位： | Department of Mathematics，Hunan Normal University，Changsha 410081，China |
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| 摘 要： | ＳＯＭＥＫＩＮＤＳＯＦＬＩＡＰＵＮＯＶＦＵＮＣＴＩＯＮＡＬＩＮＳＴＡＢＩＬＩＴＹＴＨＥＯＲＹＯＦＲＦＤＥＤＵＸＵＥＴＡＮＧ（杜雪堂）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＨｕｎａｎＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，Ｃｈａｎｇｓｈａ４１００...
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| 收稿时间： | 1991-06-12 |
Some kinds of liapunov functional in stability theory of RFDE |
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| Xuetang Du. Some kinds of liapunov functional in stability theory of RFDE[J]. Acta Mathematicae Applicatae Sinica, 1995, 11(2): 214-224. DOI: 10.1007/BF02013157 |
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| Authors: | Xuetang Du |
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| Affiliation: | (1) Department of Mathematics, Hunan Normal University, 410081 Changsha, China |
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| Abstract: | In this paper, some kinds of Liapunov functionals are constructed. By these constructions we have obtained some criteria for the uniform asymptotic stability of zero solution of several RFDE systems. These criteria are in concise forms, easily checked and applicable. |
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| Keywords: | Retarded functional differential equation linear system Volterra integro-differential equation Liapunov functional |
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