SPECTRAL EXPANSION FOR SINGULAR BETA STURM-LIOUVILLE PROBLEMS
In this study, beta Sturm–Liouville problems are discussed. For such equations, the spectral function is established in the singular case. A spectral expansion is given with the help of this function.
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| Format: | Article |
| Language: | English |
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Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics
2024-12-01
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| Series: | Ural Mathematical Journal |
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| Online Access: | https://umjuran.ru/index.php/umj/article/view/689 |
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| _version_ | 1849404150437117952 |
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| author | Bilender P. Allahverdiev Hüseyin Tuna Yüksel Yalçinkaya |
| author_facet | Bilender P. Allahverdiev Hüseyin Tuna Yüksel Yalçinkaya |
| author_sort | Bilender P. Allahverdiev |
| collection | DOAJ |
| description | In this study, beta Sturm–Liouville problems are discussed. For such equations, the spectral function is established in the singular case. A spectral expansion is given with the help of this function. |
| format | Article |
| id | doaj-art-a3690264b33c4b9bbef961169903c8e9 |
| institution | Kabale University |
| issn | 2414-3952 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics |
| record_format | Article |
| series | Ural Mathematical Journal |
| spelling | doaj-art-a3690264b33c4b9bbef961169903c8e92025-08-20T03:37:05ZengUral Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and MechanicsUral Mathematical Journal2414-39522024-12-0110210.15826/umj.2024.2.001213SPECTRAL EXPANSION FOR SINGULAR BETA STURM-LIOUVILLE PROBLEMSBilender P. Allahverdiev0Hüseyin Tuna1Yüksel Yalçinkaya2Department of Mathematics, Khazar University, 41 Mahsati Str., AZ1096 Baku, Azerbaijan; UNEC-Azerbaijan State University of Economics, 6 Istiglaliyyat Str., Baku, AzerbaijanDepartment of Mathematics, Mehmet Akif Ersoy University, 15030 Burdur, Turkey; UNEC-Azerbaijan State University of Economics, 6 Istiglaliyyat Str., Baku, AzerbaijanDepartment of Mathematics, Süleyman Demirel University, 32260 Isparta, TurkeyIn this study, beta Sturm–Liouville problems are discussed. For such equations, the spectral function is established in the singular case. A spectral expansion is given with the help of this function.https://umjuran.ru/index.php/umj/article/view/689sturm–liouville theory, fractional derivatives and integrals, spectral expansion |
| spellingShingle | Bilender P. Allahverdiev Hüseyin Tuna Yüksel Yalçinkaya SPECTRAL EXPANSION FOR SINGULAR BETA STURM-LIOUVILLE PROBLEMS Ural Mathematical Journal sturm–liouville theory, fractional derivatives and integrals, spectral expansion |
| title | SPECTRAL EXPANSION FOR SINGULAR BETA STURM-LIOUVILLE PROBLEMS |
| title_full | SPECTRAL EXPANSION FOR SINGULAR BETA STURM-LIOUVILLE PROBLEMS |
| title_fullStr | SPECTRAL EXPANSION FOR SINGULAR BETA STURM-LIOUVILLE PROBLEMS |
| title_full_unstemmed | SPECTRAL EXPANSION FOR SINGULAR BETA STURM-LIOUVILLE PROBLEMS |
| title_short | SPECTRAL EXPANSION FOR SINGULAR BETA STURM-LIOUVILLE PROBLEMS |
| title_sort | spectral expansion for singular beta sturm liouville problems |
| topic | sturm–liouville theory, fractional derivatives and integrals, spectral expansion |
| url | https://umjuran.ru/index.php/umj/article/view/689 |
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