Spectral inclusion and spectral exactness for singular non-selfadjoint Sturm-Liouville problems
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2000
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866917022477058048 |
|---|---|
| author | Brown, B. M. Marletta, M. |
| author_facet | Brown, B. M. Marletta, M. |
| contents | We consider the effect of regularization by interval truncation on the spectrum of a singular non-selfadjoint Sturm-Liouville operator. We present results on spectral inclusion and spectral exactness for the cases where the singularity is in Sims Case II or Sims Case III. For Sims Case I we present a test for spectral inexactness, which can be used to detect when the interval truncation process is generating spurious eigenvalues. Numerical results illustrate the effectiveness of this test. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0006218 |
| institution | arXiv |
| publishDate | 2000 |
| record_format | arxiv |
| spellingShingle | Spectral inclusion and spectral exactness for singular non-selfadjoint Sturm-Liouville problems Brown, B. M. Marletta, M. Spectral Theory Numerical Analysis Mathematical Physics Classical Analysis and ODEs 34L,34B20, 47A74, 65L15 We consider the effect of regularization by interval truncation on the spectrum of a singular non-selfadjoint Sturm-Liouville operator. We present results on spectral inclusion and spectral exactness for the cases where the singularity is in Sims Case II or Sims Case III. For Sims Case I we present a test for spectral inexactness, which can be used to detect when the interval truncation process is generating spurious eigenvalues. Numerical results illustrate the effectiveness of this test. |
| title | Spectral inclusion and spectral exactness for singular non-selfadjoint Sturm-Liouville problems |
| topic | Spectral Theory Numerical Analysis Mathematical Physics Classical Analysis and ODEs 34L,34B20, 47A74, 65L15 |
| url | https://arxiv.org/abs/math/0006218 |