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On the one dimensional Gelfand and Borg-Levinson spectral problems for discontinuous coefficients
| Title: | On the one dimensional Gelfand and Borg-Levinson spectral problems for discontinuous coefficients |
| Authors: | Sini, Mourad Browse this author |
| Issue Date: | 2003 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 625 |
| Start Page: | 2 |
| End Page: | 16 |
| Abstract: | In this paper, we deal with the inverse spectral problem for the equation ¡(pu0)0+qu = ¸½u on a finite interval (0; h). We give some uniqueness results on q and ½ from the Gelfand spectral data, when the coefficients p and ½ are piecewise Lipschitz and q is bounded. We also prove an equivalence result between the Gelfand spectral data and the Borg-Levinson spectral data. As a consequence, we have similar uniqueness results if we consider the Borg-Levinson spectral data. Finally, we consider the inverse problem from the nodes and give uniqueness results on ½ and in the |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69433 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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