Multiple solutions of a Sturm-Liouville boundary value problem of nonlinear differential inclusion with nonlocal integral conditions
The existence of solutions for a Sturm-Liouville boundary value problem of a nonlinear differential inclusion with nonlocal integral condition is studied. The maximal and minimal solutions will be studied. The existence of multiple solutions of the nonhomogeneous Sturm-Liouville boundary value probl...
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-04-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022624?viewType=HTML |
| _version_ | 1828383683667558400 |
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| author | Ahmed M.A. El-Sayed Eman M.A. Hamdallah Hameda M. A. Alama |
| author_facet | Ahmed M.A. El-Sayed Eman M.A. Hamdallah Hameda M. A. Alama |
| author_sort | Ahmed M.A. El-Sayed |
| collection | DOAJ |
| description | The existence of solutions for a Sturm-Liouville boundary value problem of a nonlinear differential inclusion with nonlocal integral condition is studied. The maximal and minimal solutions will be studied. The existence of multiple solutions of the nonhomogeneous Sturm-Liouville boundary value problem of differential equation with nonlocal integral condition is considered. The eigenvalues and eigenfunctions are investigated. |
| first_indexed | 2024-12-10T04:53:35Z |
| format | Article |
| id | doaj.art-5bc9691608a24545adccbe7872c54d30 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-10T04:53:35Z |
| publishDate | 2022-04-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-5bc9691608a24545adccbe7872c54d302022-12-22T02:01:33ZengAIMS PressAIMS Mathematics2473-69882022-04-0176111501116410.3934/math.2022624Multiple solutions of a Sturm-Liouville boundary value problem of nonlinear differential inclusion with nonlocal integral conditionsAhmed M.A. El-Sayed 0Eman M.A. Hamdallah 1Hameda M. A. Alama21. Faculty of Science, Alexandria University, Alexandria 21544, Egypt1. Faculty of Science, Alexandria University, Alexandria 21544, Egypt2. Faculty of Science, Al-Mergib University, 40414, LibyaThe existence of solutions for a Sturm-Liouville boundary value problem of a nonlinear differential inclusion with nonlocal integral condition is studied. The maximal and minimal solutions will be studied. The existence of multiple solutions of the nonhomogeneous Sturm-Liouville boundary value problem of differential equation with nonlocal integral condition is considered. The eigenvalues and eigenfunctions are investigated.https://www.aimspress.com/article/doi/10.3934/math.2022624?viewType=HTMLmultiple solutionssturm-liouville boundary value problemnonlocal integral conditionseigenvalueseigenfunctions |
| spellingShingle | Ahmed M.A. El-Sayed Eman M.A. Hamdallah Hameda M. A. Alama Multiple solutions of a Sturm-Liouville boundary value problem of nonlinear differential inclusion with nonlocal integral conditions AIMS Mathematics multiple solutions sturm-liouville boundary value problem nonlocal integral conditions eigenvalues eigenfunctions |
| title | Multiple solutions of a Sturm-Liouville boundary value problem of nonlinear differential inclusion with nonlocal integral conditions |
| title_full | Multiple solutions of a Sturm-Liouville boundary value problem of nonlinear differential inclusion with nonlocal integral conditions |
| title_fullStr | Multiple solutions of a Sturm-Liouville boundary value problem of nonlinear differential inclusion with nonlocal integral conditions |
| title_full_unstemmed | Multiple solutions of a Sturm-Liouville boundary value problem of nonlinear differential inclusion with nonlocal integral conditions |
| title_short | Multiple solutions of a Sturm-Liouville boundary value problem of nonlinear differential inclusion with nonlocal integral conditions |
| title_sort | multiple solutions of a sturm liouville boundary value problem of nonlinear differential inclusion with nonlocal integral conditions |
| topic | multiple solutions sturm-liouville boundary value problem nonlocal integral conditions eigenvalues eigenfunctions |
| url | https://www.aimspress.com/article/doi/10.3934/math.2022624?viewType=HTML |
| work_keys_str_mv | AT ahmedmaelsayed multiplesolutionsofasturmliouvilleboundaryvalueproblemofnonlineardifferentialinclusionwithnonlocalintegralconditions AT emanmahamdallah multiplesolutionsofasturmliouvilleboundaryvalueproblemofnonlineardifferentialinclusionwithnonlocalintegralconditions AT hamedamaalama multiplesolutionsofasturmliouvilleboundaryvalueproblemofnonlineardifferentialinclusionwithnonlocalintegralconditions |