Bounded variation solutions to Sturm-Liouville problems
In this article we consider singular Sturm-Liouville problems whose right-hand side is a function of bounded Jordan variation. We present necessary and sufficient conditions for all solutions to be of bounded Jordan variation.
| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2018-01-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2018/08/abstr.html |
| _version_ | 1818155425528283136 |
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| author | Jacek Gulgowski |
| author_facet | Jacek Gulgowski |
| author_sort | Jacek Gulgowski |
| collection | DOAJ |
| description | In this article we consider singular Sturm-Liouville problems whose
right-hand side is a function of bounded Jordan variation.
We present necessary and sufficient conditions for all solutions
to be of bounded Jordan variation. |
| first_indexed | 2024-12-11T14:42:12Z |
| format | Article |
| id | doaj.art-64927bb12dc24d0b9d4d0f0c708e91f0 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-11T14:42:12Z |
| publishDate | 2018-01-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-64927bb12dc24d0b9d4d0f0c708e91f02022-12-22T01:01:51ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912018-01-01201808,113Bounded variation solutions to Sturm-Liouville problemsJacek Gulgowski0 Univ.of Gdansk, Gdansk, Poland In this article we consider singular Sturm-Liouville problems whose right-hand side is a function of bounded Jordan variation. We present necessary and sufficient conditions for all solutions to be of bounded Jordan variation.http://ejde.math.txstate.edu/Volumes/2018/08/abstr.htmlBoundary value problembounded variationGreen functionJordan variation, Sturm-Liouville problem |
| spellingShingle | Jacek Gulgowski Bounded variation solutions to Sturm-Liouville problems Electronic Journal of Differential Equations Boundary value problem bounded variation Green function Jordan variation, Sturm-Liouville problem |
| title | Bounded variation solutions to Sturm-Liouville problems |
| title_full | Bounded variation solutions to Sturm-Liouville problems |
| title_fullStr | Bounded variation solutions to Sturm-Liouville problems |
| title_full_unstemmed | Bounded variation solutions to Sturm-Liouville problems |
| title_short | Bounded variation solutions to Sturm-Liouville problems |
| title_sort | bounded variation solutions to sturm liouville problems |
| topic | Boundary value problem bounded variation Green function Jordan variation, Sturm-Liouville problem |
| url | http://ejde.math.txstate.edu/Volumes/2018/08/abstr.html |
| work_keys_str_mv | AT jacekgulgowski boundedvariationsolutionstosturmliouvilleproblems |