A Cantilever Beam Problem with Small Deflections and Perturbed Boundary Data
The boundary value problem of a fourth-order beam equation u4=λfx,u,u′,u″,u′′′,0≤x≤1 is investigated. We formulate a nonclassical cantilever beam problem with perturbed ends. By determining appropriate values of λ and estimates for perturbation measurements on the boundary data, we establish an exis...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/9081623 |
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| _version_ | 1832566540117999616 |
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| author | Ammar Khanfer Lazhar Bougoffa |
| author_facet | Ammar Khanfer Lazhar Bougoffa |
| author_sort | Ammar Khanfer |
| collection | DOAJ |
| description | The boundary value problem of a fourth-order beam equation u4=λfx,u,u′,u″,u′′′,0≤x≤1 is investigated. We formulate a nonclassical cantilever beam problem with perturbed ends. By determining appropriate values of λ and estimates for perturbation measurements on the boundary data, we establish an existence theorem for the problem under integral boundary conditions u0=u′0=∫01pxuxdx,u″1=u′′′1=∫01qxu″xdx, where p,q∈L10,1, and f is continuous on 0,1×0,∞×0,∞×−∞,0×−∞,0. |
| format | Article |
| id | doaj-art-5dd5aecbcd784ad3890dcf5f4f4b1840 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-5dd5aecbcd784ad3890dcf5f4f4b18402025-02-03T01:03:50ZengWileyJournal of Function Spaces2314-88882021-01-01202110.1155/2021/9081623A Cantilever Beam Problem with Small Deflections and Perturbed Boundary DataAmmar Khanfer0Lazhar Bougoffa1Department of Mathematics and General SciencesImam Mohammad Ibn Saud Islamic University (IMSIU)The boundary value problem of a fourth-order beam equation u4=λfx,u,u′,u″,u′′′,0≤x≤1 is investigated. We formulate a nonclassical cantilever beam problem with perturbed ends. By determining appropriate values of λ and estimates for perturbation measurements on the boundary data, we establish an existence theorem for the problem under integral boundary conditions u0=u′0=∫01pxuxdx,u″1=u′′′1=∫01qxu″xdx, where p,q∈L10,1, and f is continuous on 0,1×0,∞×0,∞×−∞,0×−∞,0.http://dx.doi.org/10.1155/2021/9081623 |
| spellingShingle | Ammar Khanfer Lazhar Bougoffa A Cantilever Beam Problem with Small Deflections and Perturbed Boundary Data Journal of Function Spaces |
| title | A Cantilever Beam Problem with Small Deflections and Perturbed Boundary Data |
| title_full | A Cantilever Beam Problem with Small Deflections and Perturbed Boundary Data |
| title_fullStr | A Cantilever Beam Problem with Small Deflections and Perturbed Boundary Data |
| title_full_unstemmed | A Cantilever Beam Problem with Small Deflections and Perturbed Boundary Data |
| title_short | A Cantilever Beam Problem with Small Deflections and Perturbed Boundary Data |
| title_sort | cantilever beam problem with small deflections and perturbed boundary data |
| url | http://dx.doi.org/10.1155/2021/9081623 |
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