Zeros of the Jost function for a class of exponentially decaying potentials
| dc.contributor.author | Gilbert, Daphne | |
| dc.contributor.author | Kerouanton, Alain | |
| dc.date.accessioned | 2021-07-14T12:47:23Z | |
| dc.date.available | 2021-07-14T12:47:23Z | |
| dc.date.issued | 2005-12-08 | |
| dc.description.abstract | We investigate the properties of a series representing the Jost solution for the differential equation -y′′ + q(x)y = λy, x ≥ 0, q ∈ L(ℝ+). Sufficient conditions are determined on the real or complex-valued potential q for the series to converge and bounds are obtained for the sets of eigenvalues, resonances and spectral singularities associated with a corresponding class of Sturm-Liouville operators. In this paper, we restrict our investigations to the class of potentials q satisfying |q(x)| ≤ ce-αx, x ≥ 0, for some α > 0, and c > 0. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 9 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Gilbert, D., & Kerouanton, A. (2005). Zeros of the Jost function for a class of exponentially decaying potentials. Electronic Journal of Differential Equations, 2005(145), pp. 1-9. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13870 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, 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, 2005, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Jost solution | |
| dc.subject | Sturm-Liouville operators | |
| dc.subject | Resonances | |
| dc.subject | Eigenvalues | |
| dc.subject | Spectral singularities | |
| dc.title | Zeros of the Jost function for a class of exponentially decaying potentials | |
| dc.type | Article |