Search citation statements

Order By: Relevance

Paper Sections

Select...
3
2

Citation Types

0
14
0

Year Published

2013
2013
2013
2013

Publication Types

Select...
1

Relationship

0
1

Authors

Journals

##### Cited by 7 publications
(14 citation statements)
##### References 20 publications
0
14
0
Order By: Relevance
“…Theorem Assume that and hold and that If and denote, respectively, the number of finite eigenvalues of (E j ) and in , then Proof The proof is based on a transformation of the eigenvalue problems (E j ) and into auxiliary augmented eigenvalue problems in dimension 2 n with separated boundary conditions, to which Theorem 4.1 is applied. Such a transformation is presented in [, Section 6.3]. We shall not repeat these technical arguments and the details are therefore omitted. Remark Similarly as in Remark 4.4 we can show that …”
Section: Comparison Of Finite Eigenvaluesmentioning
confidence: 88%
See 4 more Smart Citations
“…Theorem Assume that and hold and that If and denote, respectively, the number of finite eigenvalues of (E j ) and in , then Proof The proof is based on a transformation of the eigenvalue problems (E j ) and into auxiliary augmented eigenvalue problems in dimension 2 n with separated boundary conditions, to which Theorem 4.1 is applied. Such a transformation is presented in [, Section 6.3]. We shall not repeat these technical arguments and the details are therefore omitted. Remark Similarly as in Remark 4.4 we can show that …”
Section: Comparison Of Finite Eigenvaluesmentioning
confidence: 88%
“…The conditions below are slightly complicated as a price for allowing the (nonlinear) dependence on λ in the matrices representing the boundary conditions. The form of these conditions comes from the “symplectic structure” of linear Hamiltonian systems, as discussed in [, Section 6.1]. Let be a polar decomposition of , i.e., is orthogonal and .…”
Section: Oscillation and Spectral Properties Of Linear Hamiltonian Symentioning
confidence: 99%
See 3 more Smart Citations