| Title: |
TRANSFORMATION OF STURM–LIOUVILLE PROBLEMS WITH DECREASING AFFINE BOUNDARY CONDITIONS |
| Authors: |
Binding, Paul A.; Browne, Patrick J.; Code, Warren J.; Watson, Bruce A. |
| Source: |
Proceedings of the Edinburgh Mathematical Society ; volume 47, issue 3, page 533-552 ; ISSN 0013-0915 1464-3839 |
| Publisher Information: |
Cambridge University Press (CUP) |
| Publication Year: |
2004 |
| Description: |
We consider Sturm–Liouville boundary-value problems on the interval $[0,1]$ of the form $-y''+qy=\lambda y$ with boundary conditions $y'(0)\sin\alpha=y(0)\cos\alpha$ and $y'(1)=(a\lambda+b)y(1)$, where $a\lt0$. We show that via multiple Crum–Darboux transformations, this boundary-value problem can be transformed ‘almost’ isospectrally to a boundary-value problem of the same form, but with the boundary condition at $x=1$ replaced by $y'(1)\sin\beta=y(1)\cos\beta$, for some $\beta$. AMS 2000 Mathematics subject classification: Primary 34B07; 47E05; 34L05 |
| Document Type: |
article in journal/newspaper |
| Language: |
English |
| DOI: |
10.1017/s0013091504000197 |
| Availability: |
https://doi.org/10.1017/s0013091504000197; https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0013091504000197 |
| Rights: |
https://www.cambridge.org/core/terms |
| Accession Number: |
edsbas.67806B33 |
| Database: |
BASE |