Inverse Sturm-Liouville problems with fixed boundary conditions
Necessary and sufficient conditions for two sequences $\{\mu_n\}_{n=0}^\infty$ and $\{ a_n\}_{n=0}^\infty$ to be the spectral data for a certain Sturm-Liouville problem are well known. We add two more conditions so that the same two sequences become necessary and sufficient for being the spectr...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2015-01-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/27/abstr.html |
| _version_ | 1818217300073906176 |
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| author | Yuri A. Ashrafyan Tigran N. Harutyunyan |
| author_facet | Yuri A. Ashrafyan Tigran N. Harutyunyan |
| author_sort | Yuri A. Ashrafyan |
| collection | DOAJ |
| description | Necessary and sufficient conditions for two sequences
$\{\mu_n\}_{n=0}^\infty$ and $\{ a_n\}_{n=0}^\infty$ to be the spectral
data for a certain Sturm-Liouville problem are well known.
We add two more conditions so that the same two sequences become necessary
and sufficient for being the spectral data for a Sturm-Liouville problem
with fixed boundary conditions. |
| first_indexed | 2024-12-12T07:05:40Z |
| format | Article |
| id | doaj.art-9a696bb8394a4f3190350ab6e220c52f |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-12T07:05:40Z |
| publishDate | 2015-01-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-9a696bb8394a4f3190350ab6e220c52f2022-12-22T00:33:44ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912015-01-01201527,18Inverse Sturm-Liouville problems with fixed boundary conditionsYuri A. Ashrafyan0Tigran N. Harutyunyan1 Yerevan State Univ., Armenia Yerevan State Univ., Armenia Necessary and sufficient conditions for two sequences $\{\mu_n\}_{n=0}^\infty$ and $\{ a_n\}_{n=0}^\infty$ to be the spectral data for a certain Sturm-Liouville problem are well known. We add two more conditions so that the same two sequences become necessary and sufficient for being the spectral data for a Sturm-Liouville problem with fixed boundary conditions.http://ejde.math.txstate.edu/Volumes/2015/27/abstr.htmlInverse Sturm-Liouville problemeigenvaluesnorming constants |
| spellingShingle | Yuri A. Ashrafyan Tigran N. Harutyunyan Inverse Sturm-Liouville problems with fixed boundary conditions Electronic Journal of Differential Equations Inverse Sturm-Liouville problem eigenvalues norming constants |
| title | Inverse Sturm-Liouville problems with fixed boundary conditions |
| title_full | Inverse Sturm-Liouville problems with fixed boundary conditions |
| title_fullStr | Inverse Sturm-Liouville problems with fixed boundary conditions |
| title_full_unstemmed | Inverse Sturm-Liouville problems with fixed boundary conditions |
| title_short | Inverse Sturm-Liouville problems with fixed boundary conditions |
| title_sort | inverse sturm liouville problems with fixed boundary conditions |
| topic | Inverse Sturm-Liouville problem eigenvalues norming constants |
| url | http://ejde.math.txstate.edu/Volumes/2015/27/abstr.html |
| work_keys_str_mv | AT yuriaashrafyan inversesturmliouvilleproblemswithfixedboundaryconditions AT tigrannharutyunyan inversesturmliouvilleproblemswithfixedboundaryconditions |