Identification of the Domain of the Sturm–Liouville Operator on a Star Graph
This article is devoted to the unique recovering of the domain of the Sturm–Liouville operator on a star graph. The domain of the Sturm–Liouville operator is uniquely identified from the set of spectra of a finite number of specially selected canonical problems. In the general case, the domain of th...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-07-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/13/7/1210 |
| _version_ | 1797526001107861504 |
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| author | Baltabek Kanguzhin Ghulam Hazrat Aimal Rasa Zhalgas Kaiyrbek |
| author_facet | Baltabek Kanguzhin Ghulam Hazrat Aimal Rasa Zhalgas Kaiyrbek |
| author_sort | Baltabek Kanguzhin |
| collection | DOAJ |
| description | This article is devoted to the unique recovering of the domain of the Sturm–Liouville operator on a star graph. The domain of the Sturm–Liouville operator is uniquely identified from the set of spectra of a finite number of specially selected canonical problems. In the general case, the domain of the definition of the original operator can be specified by integro-differential linear forms. In the case when the domain of the Sturm–Liouville operator on a star graph corresponds to the boundary value problem, it is sufficient to choose only finite parts of the spectra of canonical problems for a unique identification of the boundary form. Moreover, the above statement is valid only for a symmetric star graph. |
| first_indexed | 2024-03-10T09:22:04Z |
| format | Article |
| id | doaj.art-b2acae6b38b84ea6916465dc41f0b37d |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T09:22:04Z |
| publishDate | 2021-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-b2acae6b38b84ea6916465dc41f0b37d2023-11-22T05:08:50ZengMDPI AGSymmetry2073-89942021-07-01137121010.3390/sym13071210Identification of the Domain of the Sturm–Liouville Operator on a Star GraphBaltabek Kanguzhin0Ghulam Hazrat Aimal Rasa1Zhalgas Kaiyrbek2Institute of Mathematics and Mathematical Modeling, Al-Farabi Kazakh National University, Almaty 050040, KazakhstanInstitute of Mathematics and Mathematical Modeling, Al-Farabi Kazakh National University, Almaty 050040, KazakhstanInstitute of Mathematics and Mathematical Modeling, Al-Farabi Kazakh National University, Almaty 050040, KazakhstanThis article is devoted to the unique recovering of the domain of the Sturm–Liouville operator on a star graph. The domain of the Sturm–Liouville operator is uniquely identified from the set of spectra of a finite number of specially selected canonical problems. In the general case, the domain of the definition of the original operator can be specified by integro-differential linear forms. In the case when the domain of the Sturm–Liouville operator on a star graph corresponds to the boundary value problem, it is sufficient to choose only finite parts of the spectra of canonical problems for a unique identification of the boundary form. Moreover, the above statement is valid only for a symmetric star graph.https://www.mdpi.com/2073-8994/13/7/1210boundary conditionsboundary value problemscanonical problems |
| spellingShingle | Baltabek Kanguzhin Ghulam Hazrat Aimal Rasa Zhalgas Kaiyrbek Identification of the Domain of the Sturm–Liouville Operator on a Star Graph Symmetry boundary conditions boundary value problems canonical problems |
| title | Identification of the Domain of the Sturm–Liouville Operator on a Star Graph |
| title_full | Identification of the Domain of the Sturm–Liouville Operator on a Star Graph |
| title_fullStr | Identification of the Domain of the Sturm–Liouville Operator on a Star Graph |
| title_full_unstemmed | Identification of the Domain of the Sturm–Liouville Operator on a Star Graph |
| title_short | Identification of the Domain of the Sturm–Liouville Operator on a Star Graph |
| title_sort | identification of the domain of the sturm liouville operator on a star graph |
| topic | boundary conditions boundary value problems canonical problems |
| url | https://www.mdpi.com/2073-8994/13/7/1210 |
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