A third-order nonlocal problem with nonlocal conditions
We study an equation with dominated lower-order terms and nonlocal conditions. Using the Riesz representation theorem and the Schauder fixed-point theorem, we prove the existence and uniqueness of a generalized solution.
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| Format: | Article |
| Language: | English |
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Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204303017 |
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| _version_ | 1849306716938698752 |
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| author | Lazhar Bougoffa |
| author_facet | Lazhar Bougoffa |
| author_sort | Lazhar Bougoffa |
| collection | DOAJ |
| description | We study an equation with dominated lower-order terms and nonlocal conditions. Using the Riesz representation theorem and the Schauder fixed-point theorem, we prove the existence and uniqueness of a generalized solution. |
| format | Article |
| id | doaj-art-2d82914a8f3d46d6a9088d3608a73041 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-2d82914a8f3d46d6a9088d3608a730412025-08-20T03:55:00ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004281503150710.1155/S0161171204303017A third-order nonlocal problem with nonlocal conditionsLazhar Bougoffa0Department of Mathematics, Faculty of Science, King Khalid University, P. O. Box 9004, Abha, Saudi ArabiaWe study an equation with dominated lower-order terms and nonlocal conditions. Using the Riesz representation theorem and the Schauder fixed-point theorem, we prove the existence and uniqueness of a generalized solution.http://dx.doi.org/10.1155/S0161171204303017 |
| spellingShingle | Lazhar Bougoffa A third-order nonlocal problem with nonlocal conditions International Journal of Mathematics and Mathematical Sciences |
| title | A third-order nonlocal problem with nonlocal conditions |
| title_full | A third-order nonlocal problem with nonlocal conditions |
| title_fullStr | A third-order nonlocal problem with nonlocal conditions |
| title_full_unstemmed | A third-order nonlocal problem with nonlocal conditions |
| title_short | A third-order nonlocal problem with nonlocal conditions |
| title_sort | third order nonlocal problem with nonlocal conditions |
| url | http://dx.doi.org/10.1155/S0161171204303017 |
| work_keys_str_mv | AT lazharbougoffa athirdordernonlocalproblemwithnonlocalconditions AT lazharbougoffa thirdordernonlocalproblemwithnonlocalconditions |