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| Maslov P-Index Theory for a Symplectic Path with Applications |
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Citation： |
Chungen LIU.Maslov P-Index Theory for a Symplectic Path with Applications[J].Chinese Annals of Mathematics B,2006,27(4):441~458 |
| Page view： 1316
Net amount： 754 |
Authors： |
Chungen LIU; |
Foundation： |
Project supported by the National Natural Science Foundation of China (No.10531050) and FANEDD. |
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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. |
Keywords： |
Hamiltonian system, Symplectic path, Maslov P-index, Non-periodic
boundary problem |
Classification： |
58F05, 58E05, 34C25, 58F10 |
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