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Maslov P-Index Theory for a Symplectic Path with Applications*

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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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Authors and Affiliations

  1. School of Mathematics and LPMC, Nankai University, Tianjin 300071, China

    Chungen Liu

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  1. Chungen Liu
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Correspondence to Chungen Liu.

Additional information

*Project supported by the National Natural Science Foundation of China (No.10531050) and FANEDD.

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Liu, C. Maslov P-Index Theory for a Symplectic Path with Applications*. Chin. Ann. Math. Ser. B 27, 441–458 (2006). https://doi.org/10.1007/s11401-004-0365-0

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  • DOI: https://doi.org/10.1007/s11401-004-0365-0

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