Applications of P-Index

Chungen Liu
Additional contact information
Chungen Liu: Guangzhou University, School of Mathematical and Information Science

Chapter Chapter 8 in Index theory in nonlinear analysis, 2019, pp 219-251 from Springer

Abstract: 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.

Date: 2019
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-13-7287-2_8

Ordering information: This item can be ordered from
http://www.springer.com/9789811372872

DOI: 10.1007/978-981-13-7287-2_8

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().