Spectral function for a nonsymmetric differential operator on the half line
| dc.contributor.author | Ning, Wuqing | |
| dc.date.accessioned | 2022-05-02T16:56:30Z | |
| dc.date.available | 2022-05-02T16:56:30Z | |
| dc.date.issued | 2017-05-11 | |
| dc.description.abstract | In this article we study the spectral function for a nonsymmetric differential operator on the half line. Two cases of the coefficient matrix are considered, and for each case we prove by Marchenko's method that, to the boundary value problem, there corresponds a spectral function related to which a Marchenko-Parseval equality and an expansion formula are established. Our results extend the classical spectral theory for self-adjoint Sturm-Liouville operators and Dirac operators. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 19 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Ning, W. (2017). Spectral function for a nonsymmetric differential operator on the half line. <i>Electronic Journal of Differential Equations, 2017</i>(130), pp. 1-19. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15732 | |
| 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 | Nonsymmetric first order differential operator | |
| dc.subject | Spectral function | |
| dc.subject | Expansion theorem | |
| dc.title | Spectral function for a nonsymmetric differential operator on the half line | en_US |
| dc.type | Article |