Inverse spectral analysis for singular differential operators with matrix coefficients
| dc.contributor.author | Mahmoud, Nour el Houda | |
| dc.contributor.author | Yaich, Imen | |
| dc.date.accessioned | 2021-07-14T18:37:28Z | |
| dc.date.available | 2021-07-14T18:37:28Z | |
| dc.date.issued | 2006-02-02 | |
| dc.description.abstract | Let Lα be the Bessel operator with matrix coefficients defined on (0, ∞) by LαU(t) = U″ (t) + I/4 - α2 / t2 U(t), where α is a fixed diagonal matrix. The aim of this study, is to determine, on the positive half axis, a singular second-order differential operator of Lα + Q kind and its various properties from only its spectral characteristics. Here Q is a matrix-valued function. Under suitable circumstances, the solution is constructed by means of the spectral function, with the help of the Gelfund-Levitan process. The hypothesis on the spectral function are inspired on the results of some direct problems. Also the resolution of Fredholm's equations and properties of Fourier-Bessel transforms are used here. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 19 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Mahoud, N. H., & Yaïch, I. (2006). Inverse spectral analysis for singular differential operators with matrix coefficients. <i>Electronic Journal of Differential Equations, 2006</i>(16), pp. 1-19. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13889 | |
| 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, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Inverse problem | |
| dc.subject | Fourier-Bessel transform | |
| dc.subject | Spectral measure | |
| dc.subject | Hilbert-Schmidt operator | |
| dc.subject | Fredholm's equation | |
| dc.title | Inverse spectral analysis for singular differential operators with matrix coefficients | |
| dc.type | Article |