Half-inverse spectral problems for Sturm--Liouville operators with singular potentials
| dc.creator | Hryniv, Rostyslav O. | |
| dc.creator | Mykytyuk, Yaroslav V. | |
| dc.date | 2003-12-09 | |
| dc.date.accessioned | 2026-07-07T05:03:42Z | |
| dc.date.available | 2026-07-07T05:03:42Z | |
| dc.description | Half-inverse spectral problem for a Sturm--Liouville operator consists in reconstruction of this operator by its spectrum and half of the potential. We give the necessary and sufficient conditions for solvability of the half-inverse spectral problem for the class of Sturm--Liouville operators with singular potentials from the space $W^{-1}_2(0,1)$ and provide the reconstruction algorithm. | |
| dc.description | 21 pages | |
| dc.identifier | https://arxiv.org/abs/math/0312184 | |
| dc.identifier | http://arxiv.org/abs/math/0312184 | |
| dc.identifier | Inverse Problems 20 (2004), no. 5, 1423 - 1444. | |
| dc.identifier | doi:10.1088/0266-5611/20/5/006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69525 | |
| dc.subject | Spectral Theory | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Primary 34A55, Secondary 34B24, 34L05 | |
| dc.title | Half-inverse spectral problems for Sturm--Liouville operators with singular potentials | |
| dc.type | text |