| 几乎周期运动f（p,t）充要性定理的推广及其推论 |
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| 引用本文： | 曹振中.几乎周期运动f（p,t）充要性定理的推广及其推论[J].南京大学学报(自然科学版),1992,28(1):19-25. |
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| 作者姓名： | 曹振中 |
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| 作者单位： | 南京大学学报编辑部 |
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| 摘 要： |
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| 关 键 词： | 微分方程 几乎周期运动 充要条件 |
EXPANDING AND ITS COROLLARY ON SUFFICIENT AND NECESSARY THEOREM OF ALMOST PERIODIC RECURRENT MOTIONSf(p,t) |
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| Cao Zhenzhong.EXPANDING AND ITS COROLLARY ON SUFFICIENT AND NECESSARY THEOREM OF ALMOST PERIODIC RECURRENT MOTIONSf(p,t)[J].Journal of Nanjing University: Nat Sci Ed,1992,28(1):19-25. |
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| Authors: | Cao Zhenzhong |
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| Institution: | Editorial Office of Journal of Nanjing University |
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| Abstract: | This paper continues paper I.Firstly,Theorem 1,Thorem 2 and fundamen- tal theorem in paper1]are expanded,and 26 equivalence relations are obtained with re- spect to almost periodic recurrent motions.secondly,the conclusion is drown that f_R,f_c,j_cf_R',f_L,f_L+,f_L-are all equivalent when f(p,t)is uniformly stable on f(p;I). Finally,the relations among poisson stability,Lagrange stability and Liapunov stability are established,and sufficient conditions on poisson stability of f(p,t)are given conveniently. |
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| Keywords: | differential equation topological dynamic system almost periodic recrurent motion sufficient and necessary condition |
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