Boundary values for an eigenvalue problem with a singular potential
In this paper we consider the inverse spectral problem on the interval [0,1]. This determines the three-dimensional Schrödinger equation with from singular symmetric potential. We show that the two spectrums uniquely identify the potential function q(r) in a single Sturm-Liouville equation, and we...
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| Format: | Article |
| Language: | English |
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Balikesir University
2017-12-01
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| Series: | An International Journal of Optimization and Control: Theories & Applications |
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| Online Access: | http://ijocta.org/index.php/files/article/view/507 |
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doaj-508d37063cb54e76bf21ac7feb48745e2021-02-17T01:23:00ZengBalikesir UniversityAn International Journal of Optimization and Control: Theories & Applications 2146-09572146-57032017-12-017310.11121/ijocta.01.2017.00507Boundary values for an eigenvalue problem with a singular potentialMünevver Tuz0Fırat Üniversitesi In this paper we consider the inverse spectral problem on the interval [0,1]. This determines the three-dimensional Schrödinger equation with from singular symmetric potential. We show that the two spectrums uniquely identify the potential function q(r) in a single Sturm-Liouville equation, and we obtain new evidence for the difference in the q(r)-q(r)of the Hochstadt theorem. http://ijocta.org/index.php/files/article/view/507Spectruminvers problemeigenvaluesecond-order differential equation. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Münevver Tuz |
| spellingShingle |
Münevver Tuz Boundary values for an eigenvalue problem with a singular potential An International Journal of Optimization and Control: Theories & Applications Spectrum invers problem eigenvalue second-order differential equation. |
| author_facet |
Münevver Tuz |
| author_sort |
Münevver Tuz |
| title |
Boundary values for an eigenvalue problem with a singular potential |
| title_short |
Boundary values for an eigenvalue problem with a singular potential |
| title_full |
Boundary values for an eigenvalue problem with a singular potential |
| title_fullStr |
Boundary values for an eigenvalue problem with a singular potential |
| title_full_unstemmed |
Boundary values for an eigenvalue problem with a singular potential |
| title_sort |
boundary values for an eigenvalue problem with a singular potential |
| publisher |
Balikesir University |
| series |
An International Journal of Optimization and Control: Theories & Applications |
| issn |
2146-0957 2146-5703 |
| publishDate |
2017-12-01 |
| description |
In this paper we consider the inverse spectral problem on the interval [0,1]. This determines the three-dimensional Schrödinger equation with from singular symmetric potential. We show that the two spectrums uniquely identify the potential function q(r) in a single Sturm-Liouville equation, and we obtain new evidence for the difference in the q(r)-q(r)of the Hochstadt theorem.
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| topic |
Spectrum invers problem eigenvalue second-order differential equation. |
| url |
http://ijocta.org/index.php/files/article/view/507 |
| work_keys_str_mv |
AT munevvertuz boundaryvaluesforaneigenvalueproblemwithasingularpotential |
| _version_ |
1724265665967161344 |