On some spectral properties of nonlocal boundary-value problems for nonlinear differential inclusion
UDC 517.9 We study the solutions to the Sturm–Liouville boundary-value problem for a nonlinear differential inclusion with nonlocal conditions. The maximal and minimal solutions are demonstrated. The analysis of eigenvalues and eigenfunctions is performed. It is discussed whether multiple solutions...
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| Date: | 2025 |
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| Format: | Article |
| Language: | English |
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Institute of Mathematics, NAS of Ukraine
2025
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/7772 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512744735768576 |
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| author | Alama, Hameda Mohamed Alama, Hameda Mohamed |
| author_facet | Alama, Hameda Mohamed Alama, Hameda Mohamed |
| author_sort | Alama, Hameda Mohamed |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2025-05-09T12:53:51Z |
| description | UDC 517.9
We study the solutions to the Sturm–Liouville boundary-value problem for a nonlinear differential inclusion with nonlocal conditions. The maximal and minimal solutions are demonstrated. The analysis of eigenvalues and eigenfunctions is performed. It is discussed whether multiple solutions may exist for the inhomogeneous Sturm–Liouville boundary-value problem for differential equation with nonlocal conditions. |
| doi_str_mv | 10.3842/umzh.v76i10.7772 |
| first_indexed | 2026-03-24T03:33:39Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-7772 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:33:39Z |
| publishDate | 2025 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
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| spelling | umjimathkievua-article-77722025-05-09T12:53:51Z On some spectral properties of nonlocal boundary-value problems for nonlinear differential inclusion On some spectral properties of nonlocal boundary-value problems for nonlinear differential inclusion Alama, Hameda Mohamed Alama, Hameda Mohamed nonlinear differential inclusion; homogeneous and nonhomogeneous problem; Sturm-Liouville boundary value problem; nonlocal conditions; eigenvalues; eigenfunctions UDC 517.9 We study the solutions to the Sturm–Liouville boundary-value problem for a nonlinear differential inclusion with nonlocal conditions. The maximal and minimal solutions are demonstrated. The analysis of eigenvalues and eigenfunctions is performed. It is discussed whether multiple solutions may exist for the inhomogeneous Sturm–Liouville boundary-value problem for differential equation with nonlocal conditions. УДК 517.9 Про деякі спектральні властивості  нелокальних крайових задач для нелінійного диференціального включення Вивчаються розв’язки крайової задачі Штурма–Ліувілля для нелінійного диференціального включення з нелокальними умовами. Продемонстровано максимальні та мінімальні розв’язки. Проведено дослідження власних значень і власних функцій для цієї задачі. Обговорено можливість існування кількох розв’язків  неоднорідної крайової задачі Штурма–Ліувілля для диференціального рівняння з нелокальними умовами. Institute of Mathematics, NAS of Ukraine 2025-05-07 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/7772 10.3842/umzh.v76i10.7772 Ukrains’kyi Matematychnyi Zhurnal; Vol. 76 No. 10 (2024); 1427 - 1443 Український математичний журнал; Том 76 № 10 (2024); 1427 - 1443 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/7772/10211 Copyright (c) 2024 Hameda Alama |
| spellingShingle | Alama, Hameda Mohamed Alama, Hameda Mohamed On some spectral properties of nonlocal boundary-value problems for nonlinear differential inclusion |
| title | On some spectral properties of nonlocal boundary-value problems for nonlinear differential inclusion |
| title_alt | On some spectral properties of nonlocal boundary-value problems for nonlinear differential inclusion |
| title_full | On some spectral properties of nonlocal boundary-value problems for nonlinear differential inclusion |
| title_fullStr | On some spectral properties of nonlocal boundary-value problems for nonlinear differential inclusion |
| title_full_unstemmed | On some spectral properties of nonlocal boundary-value problems for nonlinear differential inclusion |
| title_short | On some spectral properties of nonlocal boundary-value problems for nonlinear differential inclusion |
| title_sort | on some spectral properties of nonlocal boundary-value problems for nonlinear differential inclusion |
| topic_facet | nonlinear differential inclusion homogeneous and nonhomogeneous problem Sturm-Liouville boundary value problem nonlocal conditions eigenvalues eigenfunctions |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7772 |
| work_keys_str_mv | AT alamahamedamohamed onsomespectralpropertiesofnonlocalboundaryvalueproblemsfornonlineardifferentialinclusion AT alamahamedamohamed onsomespectralpropertiesofnonlocalboundaryvalueproblemsfornonlineardifferentialinclusion |