| EXPONENTIAL TRICHOTOMY， ORTHOGONALITY CONDITION AND THEIR APPLICATION |
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| 引用本文： | Zhu Deming,Xu Min. EXPONENTIAL TRICHOTOMY， ORTHOGONALITY CONDITION AND THEIR APPLICATION[J]. 数学年刊B辑(英文版), 1997, 18(1): 55-64 |
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| 作者姓名： | Zhu Deming Xu Min |
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| 摘 要： | ＡＢＳＯＬＵＴＥＣＯＮＴＩＮＵＩＴＹＦＯＲＩＮＴＥＲＡＣＴＩＮＧＭＥＡＳＵＲＥＶＡＬＵＥＤＢＲＡＮＣＨＩＮＧＢＲＯＷＮＩＡＮＭＯＴＩＯＮＳＺＨＡＯＸＵＥＬＥＩＡｂｓｔｒａｃｔＴｈｅｍｏｍｅｎｔｓａｎｄａｂｓｏｌｕｔｅｃｏｎｔｉｎｕｉｔｙｏｆｍ...
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| 关 键 词： | 指数三分法 正交条件 边值 异宿轨 |
| 收稿时间： | 1994-07-05 |
| 修稿时间： | 1995-03-16 |
EXPONENTIAL TRICHOTOMY, ORTHOGONALITY CONDITION AND THEIR APPLICATION |
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| Zhu Deming and Xu Min. EXPONENTIAL TRICHOTOMY, ORTHOGONALITY CONDITION AND THEIR APPLICATION[J]. Chinese Annals of Mathematics,Series B, 1997, 18(1): 55-64 |
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| Authors: | Zhu Deming and Xu Min |
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| Affiliation: | ZHU DEMING * Xu MIN ** |
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| Abstract: | Exponential trichotomy theory is developed and the Fredholm Alternative Lemma is proved for the system with exponential trichotomies. An application of thesetheories is also given to obtain the persistence condition for heteroclinic orbits connecting nonhyperbolic equilibria, which extends the corresponding result of . |
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| Keywords: | Exponential trichotomy Bounded solutions Orthogonality Heteroclinic orbits |
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