Uniqueness theorems for Sturm-Liouville operators with interior twin-dense nodal set
| dc.contributor.author | Wang, Yu Ping | |
| dc.date.accessioned | 2022-07-27T18:16:28Z | |
| dc.date.available | 2022-07-27T18:16:28Z | |
| dc.date.issued | 2017-09-20 | |
| dc.description.abstract | We study Inverse problems for the Sturm-Liouville operator with Robin boundary conditions. We establish two uniqueness theorems from the twin-dense nodal subset Ws ([1-ɛ/2, 1/2]), 0 < ɛ ≤ 1, together with parts of either one spectrum, or the minimal nodal subset {x1n}∞n=1 on the interval [0, 1/2]. In particular, if one spectrum is given a priori, then the potential q on the whole interval [0, 1] can be uniquely determined by Ws ([1-ɛ/2, 1/2]) for any S and arbitrarily small ɛ. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 11 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Wang, Y. P. (2017). Uniqueness theorems for Sturm-Liouville operators with interior twin-dense nodal set. <i>Electronic Journal of Differential Equations, 2017</i>(226), pp. 1-11. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15995 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Uniqueness theorem | |
| dc.subject | Inverse nodal problem | |
| dc.subject | Potential | |
| dc.subject | Sturm-Liouville operator | |
| dc.subject | The interior twin-dense nodal subset | |
| dc.title | Uniqueness theorems for Sturm-Liouville operators with interior twin-dense nodal set | |
| dc.type | Article |