Complex oscillations of non-definite Sturm-Liouville problems, II
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911243932008448 |
|---|---|
| author | Mingarelli, Angelo B. |
| author_facet | Mingarelli, Angelo B. |
| contents | We correct and update a result of R.G.D. Richardson [13] dealing with the separation of zeros of the real and imaginary parts of non-real eigenfunctions of non-definite Sturm-Liouville eigenvalue problems. We then extend it to the case where the weight function is allowed to be identically zero on a subinterval that excludes the end-points and study the behavior of the zeros of the real and imaginary parts when the end-points are included. Examples are given illustrating the sharpness of the results along with open questions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_16101 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Complex oscillations of non-definite Sturm-Liouville problems, II Mingarelli, Angelo B. Classical Analysis and ODEs 34B24, 34B09, 34C10 We correct and update a result of R.G.D. Richardson [13] dealing with the separation of zeros of the real and imaginary parts of non-real eigenfunctions of non-definite Sturm-Liouville eigenvalue problems. We then extend it to the case where the weight function is allowed to be identically zero on a subinterval that excludes the end-points and study the behavior of the zeros of the real and imaginary parts when the end-points are included. Examples are given illustrating the sharpness of the results along with open questions. |
| title | Complex oscillations of non-definite Sturm-Liouville problems, II |
| topic | Classical Analysis and ODEs 34B24, 34B09, 34C10 |
| url | https://arxiv.org/abs/2503.16101 |