Nonlocal boundary value problem for second order abstract elliptic differential equation
We establish conditions that guarantee Fredholm solvability in the Banach space Lp of nonlocal boundary value problems for elliptic abstract differential equations of the second order in an interval. Moreover, in the space L2 we prove in addition the coercive solvability, and the completeness of roo...
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| Format: | Article |
| Language: | English |
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Wiley
1999-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337599000135 |
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| _version_ | 1849304920028610560 |
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| author | Mohamed Denche |
| author_facet | Mohamed Denche |
| author_sort | Mohamed Denche |
| collection | DOAJ |
| description | We establish conditions that guarantee Fredholm solvability in
the Banach space Lp of nonlocal boundary value problems for elliptic abstract differential equations of the second order in an interval. Moreover, in the space L2 we prove in addition the coercive solvability, and the completeness of root functions (eigenfunctions and associated functions). The obtained results
are then applied to the study of a nonlocal boundary value problem for Laplace equation in a cylindrical domain. |
| format | Article |
| id | doaj-art-3aeb7b274f6c4e04bb6790905b6f14f0 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 1999-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-3aeb7b274f6c4e04bb6790905b6f14f02025-08-20T03:55:36ZengWileyAbstract and Applied Analysis1085-33751687-04091999-01-014315316810.1155/S1085337599000135Nonlocal boundary value problem for second order abstract elliptic differential equationMohamed Denche0Institut de Mathematiques, Université Mentouri Constantine, Constantine 25000, AlgeriaWe establish conditions that guarantee Fredholm solvability in the Banach space Lp of nonlocal boundary value problems for elliptic abstract differential equations of the second order in an interval. Moreover, in the space L2 we prove in addition the coercive solvability, and the completeness of root functions (eigenfunctions and associated functions). The obtained results are then applied to the study of a nonlocal boundary value problem for Laplace equation in a cylindrical domain.http://dx.doi.org/10.1155/S1085337599000135 |
| spellingShingle | Mohamed Denche Nonlocal boundary value problem for second order abstract elliptic differential equation Abstract and Applied Analysis |
| title | Nonlocal boundary value problem for second order abstract elliptic differential equation |
| title_full | Nonlocal boundary value problem for second order abstract elliptic differential equation |
| title_fullStr | Nonlocal boundary value problem for second order abstract elliptic differential equation |
| title_full_unstemmed | Nonlocal boundary value problem for second order abstract elliptic differential equation |
| title_short | Nonlocal boundary value problem for second order abstract elliptic differential equation |
| title_sort | nonlocal boundary value problem for second order abstract elliptic differential equation |
| url | http://dx.doi.org/10.1155/S1085337599000135 |
| work_keys_str_mv | AT mohameddenche nonlocalboundaryvalueproblemforsecondorderabstractellipticdifferentialequation |