2005
DOI: 10.2140/pjm.2005.221.253
|View full text |Cite
|
Sign up to set email alerts
|

Maslov type index theory for linear Hamiltonian systems with Bolza boundary value conditions and multiple solutions for nonlinear Hamiltonian systems

Abstract: We study the classification of linear Hamiltonian systems satisfying Bolza boundary conditions and its applications to nonlinear Hamiltonian systems.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1
1

Citation Types

1
29
0

Year Published

2007
2007
2019
2019

Publication Types

Select...
4
2

Relationship

1
5

Authors

Journals

citations
Cited by 16 publications
(30 citation statements)
references
References 18 publications
(24 reference statements)
1
29
0
Order By: Relevance
“…The summand denoted by I a (B 1 , B 2 ) is called the relative Morse index between B 1 and B 2 with respect to a(·, ·) as in [12][13][14].…”
Section: Index Theorymentioning
confidence: 99%
See 2 more Smart Citations
“…The summand denoted by I a (B 1 , B 2 ) is called the relative Morse index between B 1 and B 2 with respect to a(·, ·) as in [12][13][14].…”
Section: Index Theorymentioning
confidence: 99%
“…Unfortunately, the proofs in [13,Theorem 3.8] and [14,Theorem 5.3] are not complete because for example the functional defined in [13, 3.20] is not C 2 , as the referee pointed out. We will give correct proofs in a separate paper.…”
Section: Proposition 342 We Have the Following Propertymentioning
confidence: 99%
See 1 more Smart Citation
“…We follow the ideas of the proof of Lemma II.5.1 in [Chang 1981] to prove (4-9). See [Dong 2005] and [Liu 2005b] for some similar computations.…”
Section: Dual Index Theory For Linear Hamiltonian Systemsmentioning
confidence: 99%
“…In sec. 3 we study the relationship between the Maslov-type index defined in [3] and the μ 1 index defined in [1].…”
Section: Introductionmentioning
confidence: 99%