Eigenfunction Expansions of Impulsive Dynamic Sturm-Liouville Problems
This paper studies impulsive dynamic Sturm-Liouville boundary value problems. The existence of a countably infinite set of eigenvalues and eigenfunctions is proved and a uniformly convergent expansion formula in the eigenfunctions is established.
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| Format: | Article |
| Language: | English |
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University of Maragheh
2024-10-01
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| Series: | Sahand Communications in Mathematical Analysis |
| Subjects: | |
| Online Access: | https://scma.maragheh.ac.ir/article_715200_96220283b40d27959fabcb711f097597.pdf |
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| _version_ | 1823859331918987264 |
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| author | Bilender Allahverdiev Hüseyin Tuna Hamlet A Isayev |
| author_facet | Bilender Allahverdiev Hüseyin Tuna Hamlet A Isayev |
| author_sort | Bilender Allahverdiev |
| collection | DOAJ |
| description | This paper studies impulsive dynamic Sturm-Liouville boundary value problems. The existence of a countably infinite set of eigenvalues and eigenfunctions is proved and a uniformly convergent expansion formula in the eigenfunctions is established. |
| format | Article |
| id | doaj-art-8098dd2d24b3496eb7d9a82528347bf7 |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-8098dd2d24b3496eb7d9a82528347bf72025-02-11T05:27:48ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002024-10-0121412313510.22130/scma.2024.2015609.1532715200Eigenfunction Expansions of Impulsive Dynamic Sturm-Liouville ProblemsBilender Allahverdiev0Hüseyin Tuna1Hamlet A Isayev2Department of Mathematics, Khazar University, AZ1096 Baku, Azerbaijan and Research Center of Econophysics, UNEC-Azerbaijan State University of Economics, Baku, AzerbaijanDepartment of Mathematics, Mehmet Akif Ersoy University, 15030 Burdur, Turkey and Research Center of Econophysics, UNEC-Azerbaijan State University of Economics, Baku, Azerbaijan.Department of Mathematics, Khazar University, AZ1096 Baku, Azerbaijan.This paper studies impulsive dynamic Sturm-Liouville boundary value problems. The existence of a countably infinite set of eigenvalues and eigenfunctions is proved and a uniformly convergent expansion formula in the eigenfunctions is established.https://scma.maragheh.ac.ir/article_715200_96220283b40d27959fabcb711f097597.pdfdynamic equations on time scalescompleteness of eigenfunctionseigenfunction expansions |
| spellingShingle | Bilender Allahverdiev Hüseyin Tuna Hamlet A Isayev Eigenfunction Expansions of Impulsive Dynamic Sturm-Liouville Problems Sahand Communications in Mathematical Analysis dynamic equations on time scales completeness of eigenfunctions eigenfunction expansions |
| title | Eigenfunction Expansions of Impulsive Dynamic Sturm-Liouville Problems |
| title_full | Eigenfunction Expansions of Impulsive Dynamic Sturm-Liouville Problems |
| title_fullStr | Eigenfunction Expansions of Impulsive Dynamic Sturm-Liouville Problems |
| title_full_unstemmed | Eigenfunction Expansions of Impulsive Dynamic Sturm-Liouville Problems |
| title_short | Eigenfunction Expansions of Impulsive Dynamic Sturm-Liouville Problems |
| title_sort | eigenfunction expansions of impulsive dynamic sturm liouville problems |
| topic | dynamic equations on time scales completeness of eigenfunctions eigenfunction expansions |
| url | https://scma.maragheh.ac.ir/article_715200_96220283b40d27959fabcb711f097597.pdf |
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