Extremal norm for potentials of Sturm-Liouville eigenvalue problems with separated boundary conditions
| dc.contributor.author | Guo, Hongjie | |
| dc.contributor.author | Qi, Jiangang | |
| dc.date.accessioned | 2022-04-11T12:43:25Z | |
| dc.date.available | 2022-04-11T12:43:25Z | |
| dc.date.issued | 2017-04-11 | |
| dc.description.abstract | For the n-th eigenvalue of a Sturm-Liouville eigenvalue problem with separated boundary conditions, we express the infimum of the L1[0,1] norm of potentials, in terms of a parameter λ and the boundary conditions. Also we indicate where the infimum can be attained. As an application, we obtain the extremum of the n-th eigenvalue of a problem for potentials on a sphere in L1[0,1]. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 11 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Guo, H., & Qi, J. (2017). Extremal norm for potentials of Sturm-Liouville eigenvalue problems with separated boundary conditions. <i>Electronic Journal of Differential Equations, 2017</i>(99), pp. 1-11. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15631 | |
| 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 | Sturm-Liouville problem | |
| dc.subject | Eigenvalue | |
| dc.subject | Inverse problem | |
| dc.subject | Lyapunov-type inequality | |
| dc.subject | Extremal problem | |
| dc.title | Extremal norm for potentials of Sturm-Liouville eigenvalue problems with separated boundary conditions | |
| dc.type | Article |