Functional differential equations with non-local boundary conditions
In this work, we study an abstract boundary-value problem generated by an evolution equation and a non-local boundary condition. We prove the existence and uniqueness of the strong generalized solution and its continuity to respect to the parameters. The proofs are obtained via a priori estimates in...
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| Format: | Article |
| Language: | English |
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Texas State University
2005-08-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2005/88/abstr.html |
| _version_ | 1818318358916890624 |
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| author | Assia Guezane-Lakoud |
| author_facet | Assia Guezane-Lakoud |
| author_sort | Assia Guezane-Lakoud |
| collection | DOAJ |
| description | In this work, we study an abstract boundary-value problem generated by an evolution equation and a non-local boundary condition. We prove the existence and uniqueness of the strong generalized solution and its continuity to respect to the parameters. The proofs are obtained via a priori estimates in non classical functional spaces and on the density of the range of the operator generated by the considered problem. |
| first_indexed | 2024-12-13T09:51:57Z |
| format | Article |
| id | doaj.art-7fc1525376874064800dd5bad8f43b46 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-13T09:51:57Z |
| publishDate | 2005-08-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-7fc1525376874064800dd5bad8f43b462022-12-21T23:51:54ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912005-08-0120058818Functional differential equations with non-local boundary conditionsAssia Guezane-LakoudIn this work, we study an abstract boundary-value problem generated by an evolution equation and a non-local boundary condition. We prove the existence and uniqueness of the strong generalized solution and its continuity to respect to the parameters. The proofs are obtained via a priori estimates in non classical functional spaces and on the density of the range of the operator generated by the considered problem.http://ejde.math.txstate.edu/Volumes/2005/88/abstr.htmlBoundary-value problemsfunctional differential equations. |
| spellingShingle | Assia Guezane-Lakoud Functional differential equations with non-local boundary conditions Electronic Journal of Differential Equations Boundary-value problems functional differential equations. |
| title | Functional differential equations with non-local boundary conditions |
| title_full | Functional differential equations with non-local boundary conditions |
| title_fullStr | Functional differential equations with non-local boundary conditions |
| title_full_unstemmed | Functional differential equations with non-local boundary conditions |
| title_short | Functional differential equations with non-local boundary conditions |
| title_sort | functional differential equations with non local boundary conditions |
| topic | Boundary-value problems functional differential equations. |
| url | http://ejde.math.txstate.edu/Volumes/2005/88/abstr.html |
| work_keys_str_mv | AT assiaguezanelakoud functionaldifferentialequationswithnonlocalboundaryconditions |