On the Solution of a Class of Discontinuous Sturm-Liouville Problems
This study examines boundary value problems consisting of a second-order differential equation with discontinuous coefficients and boundary conditions. Asymptotic formulas for the eigenvalues and eigenfunctions of the problem are derived, and an expansion formula is obtained based on the eigenfuncti...
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| Format: | Article |
| Language: | English |
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Emrah Evren KARA
2025-03-01
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| Series: | Communications in Advanced Mathematical Sciences |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/en/download/article-file/4459584 |
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| _version_ | 1850282774626304000 |
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| author | Döne Karahan Ufuk Çelik Hanlar Reşidoğlu |
| author_facet | Döne Karahan Ufuk Çelik Hanlar Reşidoğlu |
| author_sort | Döne Karahan |
| collection | DOAJ |
| description | This study examines boundary value problems consisting of a second-order differential equation with discontinuous coefficients and boundary conditions. Asymptotic formulas for the eigenvalues and eigenfunctions of the problem are derived, and an expansion formula is obtained based on the eigenfunctions. |
| format | Article |
| id | doaj-art-240533ed80a54e149a8433c23be55f51 |
| institution | OA Journals |
| issn | 2651-4001 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Emrah Evren KARA |
| record_format | Article |
| series | Communications in Advanced Mathematical Sciences |
| spelling | doaj-art-240533ed80a54e149a8433c23be55f512025-08-20T01:47:54ZengEmrah Evren KARACommunications in Advanced Mathematical Sciences2651-40012025-03-0181495610.33434/cams.16056461225On the Solution of a Class of Discontinuous Sturm-Liouville ProblemsDöne Karahan0https://orcid.org/0000-0001-6644-5596Ufuk Çelik1https://orcid.org/0009-0005-2982-725XHanlar Reşidoğlu2https://orcid.org/0000-0002-3283-9535HARRAN UNIVERSITYMERSIN UNIVERSITYIGDIR UNIVERSITYThis study examines boundary value problems consisting of a second-order differential equation with discontinuous coefficients and boundary conditions. Asymptotic formulas for the eigenvalues and eigenfunctions of the problem are derived, and an expansion formula is obtained based on the eigenfunctions.https://dergipark.org.tr/en/download/article-file/4459584asymptotic formulasdiscontinuous coefficientexpansion formulasturm-liouville problem |
| spellingShingle | Döne Karahan Ufuk Çelik Hanlar Reşidoğlu On the Solution of a Class of Discontinuous Sturm-Liouville Problems Communications in Advanced Mathematical Sciences asymptotic formulas discontinuous coefficient expansion formula sturm-liouville problem |
| title | On the Solution of a Class of Discontinuous Sturm-Liouville Problems |
| title_full | On the Solution of a Class of Discontinuous Sturm-Liouville Problems |
| title_fullStr | On the Solution of a Class of Discontinuous Sturm-Liouville Problems |
| title_full_unstemmed | On the Solution of a Class of Discontinuous Sturm-Liouville Problems |
| title_short | On the Solution of a Class of Discontinuous Sturm-Liouville Problems |
| title_sort | on the solution of a class of discontinuous sturm liouville problems |
| topic | asymptotic formulas discontinuous coefficient expansion formula sturm-liouville problem |
| url | https://dergipark.org.tr/en/download/article-file/4459584 |
| work_keys_str_mv | AT donekarahan onthesolutionofaclassofdiscontinuoussturmliouvilleproblems AT ufukcelik onthesolutionofaclassofdiscontinuoussturmliouvilleproblems AT hanlarresidoglu onthesolutionofaclassofdiscontinuoussturmliouvilleproblems |