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| EXPONENTIAL TRICHOTOMY, ORTHOGONALITY CONDITION AND THEIR APPLICATION |
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Citation： |
Zhu Deming,Xu Min.EXPONENTIAL TRICHOTOMY, ORTHOGONALITY CONDITION AND THEIR APPLICATION[J].Chinese Annals of Mathematics B,1997,18(1):55~64 |
| Page view： 1120
Net amount： 863 |
Authors： |
Zhu Deming; Xu Min |
Foundation： |
Project supported by the National Natural Science Foundation of China and the Shanghai Natural Science Foundation |
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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 these
theories is also given to obtain the persistence condition for
heteroclinic orbits connecting nonhyperbolic equilibria, which
extends the corresponding result of [11]. |
Keywords： |
Exponential trichotomy, Bounded solutions,
Orthogonality, Heteroclinic orbits |
Classification： |
34A30, 58F14 |
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