A three-point boundary value problem with an integral condition for a third-order partial differential 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 operator generated.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/AAA.2005.33 |
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| _version_ | 1832548036933320704 |
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| author | C. Latrous A. Memou |
| author_facet | C. Latrous A. Memou |
| author_sort | C. Latrous |
| 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 operator generated. |
| format | Article |
| id | doaj-art-1f6d2c3748ab45238e01251ffe8f7e4d |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-1f6d2c3748ab45238e01251ffe8f7e4d2025-02-03T06:42:15ZengWileyAbstract and Applied Analysis1085-33751687-04092005-01-0120051334310.1155/AAA.2005.33A three-point boundary value problem with an integral condition for a third-order partial differential equationC. Latrous0A. Memou1Laboratoire Equations Differentielles, Département de Mathematiques, Université Mentouri Constantine, Constantine 25000, AlgeriaLaboratoire Equations Differentielles, Département de Mathematiques, Université Mentouri Constantine, 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 operator generated.http://dx.doi.org/10.1155/AAA.2005.33 |
| spellingShingle | C. Latrous A. Memou A three-point boundary value problem with an integral condition for a third-order partial differential equation Abstract and Applied Analysis |
| title | A three-point boundary value problem with an integral condition for a third-order
partial differential equation |
| title_full | A three-point boundary value problem with an integral condition for a third-order
partial differential equation |
| title_fullStr | A three-point boundary value problem with an integral condition for a third-order
partial differential equation |
| title_full_unstemmed | A three-point boundary value problem with an integral condition for a third-order
partial differential equation |
| title_short | A three-point boundary value problem with an integral condition for a third-order
partial differential equation |
| title_sort | three point boundary value problem with an integral condition for a third order partial differential equation |
| url | http://dx.doi.org/10.1155/AAA.2005.33 |
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