Mixed problem with nonlocal boundary conditions for a third-order partial differential equation of mixed type
We study a mixed problem with integral boundary conditions for a third-order partial differential equation of mixed type. We prove the existence and uniqueness of the solution. The proof is based on two-sided a priori estimates and on the density of the range of the operator generated by the conside...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201004379 |
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| _version_ | 1832551463499333632 |
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| author | M. Denche A. L. Marhoune |
| author_facet | M. Denche A. L. Marhoune |
| author_sort | M. Denche |
| collection | DOAJ |
| description | We study a mixed problem with integral boundary conditions for a third-order partial differential equation of mixed type. We prove the existence and uniqueness of the solution. The proof is based on two-sided a priori estimates and on the density of the range of the operator generated by the considered problem. |
| format | Article |
| id | doaj-art-565a632ac044497aadd63278fbc0d8dc |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-565a632ac044497aadd63278fbc0d8dc2025-02-03T06:01:27ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0126741742610.1155/S0161171201004379Mixed problem with nonlocal boundary conditions for a third-order partial differential equation of mixed typeM. Denche0A. L. Marhoune1Institut de Mathématiques, Université Mentouri Constantine, Constantine 25000, AlgeriaInstitut de Mathématiques, Université Mentouri Constantine, Constantine 25000, AlgeriaWe study a mixed problem with integral boundary conditions for a third-order partial differential equation of mixed type. We prove the existence and uniqueness of the solution. The proof is based on two-sided a priori estimates and on the density of the range of the operator generated by the considered problem.http://dx.doi.org/10.1155/S0161171201004379 |
| spellingShingle | M. Denche A. L. Marhoune Mixed problem with nonlocal boundary conditions for a third-order partial differential equation of mixed type International Journal of Mathematics and Mathematical Sciences |
| title | Mixed problem with nonlocal boundary conditions for a third-order partial differential equation of mixed type |
| title_full | Mixed problem with nonlocal boundary conditions for a third-order partial differential equation of mixed type |
| title_fullStr | Mixed problem with nonlocal boundary conditions for a third-order partial differential equation of mixed type |
| title_full_unstemmed | Mixed problem with nonlocal boundary conditions for a third-order partial differential equation of mixed type |
| title_short | Mixed problem with nonlocal boundary conditions for a third-order partial differential equation of mixed type |
| title_sort | mixed problem with nonlocal boundary conditions for a third order partial differential equation of mixed type |
| url | http://dx.doi.org/10.1155/S0161171201004379 |
| work_keys_str_mv | AT mdenche mixedproblemwithnonlocalboundaryconditionsforathirdorderpartialdifferentialequationofmixedtype AT almarhoune mixedproblemwithnonlocalboundaryconditionsforathirdorderpartialdifferentialequationofmixedtype |