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Index theory in nonlinear analysis pp 219–251Cite as

Applications of P-Index

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Abstract

One of the most beautiful application of the Maslov-type index theory for the case of periodic Hamiltonian systems is to study the existence and multiplicity of solutions of asymptotically linear Hamiltonian systems. The study on the periodic solutions of asymptotically linear Hamiltonian systems in global sense started from 1980 in [5]. Since then many mathematicians made their contributions on this problem (cf. [33, 38, 94, 177, 223, 224] and so on). In this section, we consider the non-periodic (P-boundary) solutions of asymptotically linear Hamiltonian systems.

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Authors and Affiliations

  1. School of Mathematical and Information Science, Guangzhou University, Guangzhou, Guangdong, China

    Chungen Liu

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  1. Chungen Liu
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Liu, C. (2019). Applications of P-Index. In: Index theory in nonlinear analysis. Springer, Singapore. https://doi.org/10.1007/978-981-13-7287-2_8

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