Spectral analysis of q-fractional Sturm-Liouville operators
| dc.contributor.author | Allahverdiev, Bilender P. | |
| dc.contributor.author | Tuna, Huseyin | |
| dc.date.accessioned | 2022-05-18T17:06:34Z | |
| dc.date.available | 2022-05-18T17:06:34Z | |
| dc.date.issued | 2017-05-18 | |
| dc.description.abstract | In this article, we study q-fractional Sturm-Liouville operators. Using by the functional method, we pass to a new operator. Then, showing that this operator is a maximal operator and constructing a self-adjoint dilation of the maximal dissipative operator. We prove a theorem on the completeness of the system of eigenvectors and associated vectors of the dissipative q-fractional Sturm-Liouville operators. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 17 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Allahverdiev, B. P., & Tuna, H. (2017). Spectral analysis of q-fractional Sturm-Liouville operators. <i>Electronic Journal of Differential Equations, 2017</i>(136), pp. 1-17. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15791 | |
| 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 | Dissipative q-fractional Sturm-Liouville operator | |
| dc.subject | Dilation | |
| dc.subject | Eigenvector | |
| dc.subject | Scattering matrix | |
| dc.subject | Functional model | |
| dc.subject | Characteristic function | |
| dc.title | Spectral analysis of q-fractional Sturm-Liouville operators | |
| dc.type | Article |