On the Spectrum of Regular Weighted Sturm-Liouville Problems in the Set of Integers
| dc.contributor.advisor | Abdi Tadesse (PhD) | |
| dc.contributor.author | Mesfin Yonas | |
| dc.date.accessioned | 2021-02-24T07:14:05Z | |
| dc.date.accessioned | 2023-11-04T12:31:14Z | |
| dc.date.available | 2021-02-24T07:14:05Z | |
| dc.date.available | 2023-11-04T12:31:14Z | |
| dc.date.issued | 2021-01-21 | |
| dc.description.abstract | In this thesis, certain in_nite subsets of the set of positive integers are inves- tigated as possible spectra of regular weighted Sturm-Liouville eigenvalue problem with separated homogeneous boundary conditions. With the (con- ditional) exception of the set of square integers, it is shown that all the sets considered herein are not spectra of such a problem. We also state three necessary conditions in order for a set to be a spectrum of such eigenvalue problems. Concepts adopted from the area of study in Mathematical anal- ysis known as Asymptotic analysis will _gure prominently in the proofs of the main results. | en_US |
| dc.identifier.uri | http://etd.aau.edu.et/handle/123456789/25216 | |
| dc.language.iso | en | en_US |
| dc.publisher | Addis Ababa University | en_US |
| dc.subject | Spectrum | en_US |
| dc.subject | Regular Weighted | en_US |
| dc.subject | Sturm-Liouville Problems | en_US |
| dc.subject | Set of Integers | en_US |
| dc.title | On the Spectrum of Regular Weighted Sturm-Liouville Problems in the Set of Integers | en_US |
| dc.type | Thesis | en_US |