Boundary value problem with integral conditions for a linear third-order equation
We prove the existence and uniqueness of a strong solution for a linear third-order equation with integral boundary conditions. The proof uses energy inequalities and the density of the range of the generated operator.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/S1110757X03303031 |
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| _version_ | 1832564417162641408 |
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| author | M. Denche A. Memou |
| author_facet | M. Denche A. Memou |
| author_sort | M. Denche |
| collection | DOAJ |
| description | We prove the existence and uniqueness of a strong solution for a
linear third-order equation with integral boundary conditions.
The proof uses energy inequalities and the density of the range
of the generated operator. |
| format | Article |
| id | doaj-art-965bd9f3a9d94952a8024244139d6c73 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-965bd9f3a9d94952a8024244139d6c732025-02-03T01:11:09ZengWileyJournal of Applied Mathematics1110-757X1687-00422003-01-0120031155356710.1155/S1110757X03303031Boundary value problem with integral conditions for a linear third-order equationM. Denche0A. Memou1Laboratoire Equations Différentielles, Département de Mathématiques, Faculté des Sciences, Université Mentouri, Constantine 25000, AlgeriaLaboratoire Equations Différentielles, Département de Mathématiques, Faculté des Sciences, Université Mentouri, Constantine 25000, AlgeriaWe prove the existence and uniqueness of a strong solution for a linear third-order equation with integral boundary conditions. The proof uses energy inequalities and the density of the range of the generated operator.http://dx.doi.org/10.1155/S1110757X03303031 |
| spellingShingle | M. Denche A. Memou Boundary value problem with integral conditions for a linear third-order equation Journal of Applied Mathematics |
| title | Boundary value problem with integral conditions for a linear
third-order equation |
| title_full | Boundary value problem with integral conditions for a linear
third-order equation |
| title_fullStr | Boundary value problem with integral conditions for a linear
third-order equation |
| title_full_unstemmed | Boundary value problem with integral conditions for a linear
third-order equation |
| title_short | Boundary value problem with integral conditions for a linear
third-order equation |
| title_sort | boundary value problem with integral conditions for a linear third order equation |
| url | http://dx.doi.org/10.1155/S1110757X03303031 |
| work_keys_str_mv | AT mdenche boundaryvalueproblemwithintegralconditionsforalinearthirdorderequation AT amemou boundaryvalueproblemwithintegralconditionsforalinearthirdorderequation |