The inverse Sturm-Liouville problem with mixed boundary conditions
| dc.creator | Chelkak, Dmitri | |
| dc.creator | Korotyaev, Evgeny | |
| dc.date | 2006-07-31 | |
| dc.date.accessioned | 2026-07-07T07:21:12Z | |
| dc.date.available | 2026-07-07T07:21:12Z | |
| dc.description | Consider the operator $H\p=-\p''+q\p=ł\p$, $\p(0)=0$, $\p'(1)+b\p(1)=0$ acting in $L^2(0,1)$, where $q\in L^2(0,1)$ is a real potential. Let $ł_n(q,b)$, $n\ge 0$, be the eigenvalues of $H$ and $\n_n(q,b)$ be the so-called norming constants. We give a complete characterization of all spectral data $(\{ł_n\}_0^\iy;\{\n_n\}_0^\iy)$ that correspond to $(q;b)\in L^2(0,1)\ts\R$. If $b$ is fixed, then we obtain a similar characterization and parameterize the iso-spectral manifolds. | |
| dc.identifier | https://arxiv.org/abs/math/0607811 | |
| dc.identifier | http://arxiv.org/abs/math/0607811 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115219 | |
| dc.subject | Spectral Theory | |
| dc.subject | Mathematical Physics | |
| dc.subject | 34A55 (34B24 34L05 34L20 47E05) | |
| dc.title | The inverse Sturm-Liouville problem with mixed boundary conditions | |
| dc.type | text |