| Maslov P-Index Theory for a Symplectic Path with Applications |
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| 引用本文： | Chungen LIU School of Mathematics and LPMC,Nankai University,Tianjin 300071,China.. Maslov P-Index Theory for a Symplectic Path with Applications[J]. 数学年刊B辑(英文版), 2006, 27(4) |
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| 作者姓名： | Chungen LIU School of Mathematics and LPMC Nankai University Tianjin 300071 China. |
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| 作者单位： | Chungen LIU School of Mathematics and LPMC，Nankai University，Tianjin 300071，China. |
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| 摘 要： | The Maslov P-index theory for a symplectic path is defined. Various properties of this index theory such as homotopy invariant, symplectic additivity and the relations with other Morse indices are studied. As an application, the non-periodic problem for some asymptotically linear Hamiltonian systems is considered.
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Maslov P-Index Theory for a Symplectic Path with Applications |
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| Chungen LIU. Maslov P-Index Theory for a Symplectic Path with Applications[J]. Chinese Annals of Mathematics,Series B, 2006, 27(4) |
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| Authors: | Chungen LIU |
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| Abstract: | The Maslov P-index theory for a symplectic path is defined. Various properties of this index theory such as homotopy invariant, symplectic additivity and the relations with other Morse indices are studied. As an application, the non-periodic problem for some asymptotically linear Hamiltonian systems is considered. |
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| Keywords: | Hamiltonian system Symplectic path Maslov P-index Non-periodic boundary problem |
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