Generalized Green's functions for higher order boundary value matrix differential systems
In this paper, a Green's matrix function for higher order two point boundary value differential matrix problems is constructed. By using the concept of rectangular co-solution of certain algebraic matrix equation associated to the problem, an existence condition as well as an explicit closed fo...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1992-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171292000681 |
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| _version_ | 1832564615859404800 |
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| author | R. J. Villanueva L. Jodar |
| author_facet | R. J. Villanueva L. Jodar |
| author_sort | R. J. Villanueva |
| collection | DOAJ |
| description | In this paper, a Green's matrix function for higher order two point boundary value differential matrix problems is constructed. By using the concept of rectangular co-solution of certain algebraic matrix equation associated to the problem, an existence condition as well as an explicit closed form expression for the solution of possibly not well-posed boundary value problems is given avoiding the increase of the problem dimension. |
| format | Article |
| id | doaj-art-7819195c4209431bbdbf0ffbd887945d |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1992-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-7819195c4209431bbdbf0ffbd887945d2025-02-03T01:10:35ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251992-01-0115352353510.1155/S0161171292000681Generalized Green's functions for higher order boundary value matrix differential systemsR. J. Villanueva0L. Jodar1Departamento de Maternática Aplicada, Universidad Politécnica de Valencia, P.O.Box 22012, Valencia, SpainDepartamento de Maternática Aplicada, Universidad Politécnica de Valencia, P.O.Box 22012, Valencia, SpainIn this paper, a Green's matrix function for higher order two point boundary value differential matrix problems is constructed. By using the concept of rectangular co-solution of certain algebraic matrix equation associated to the problem, an existence condition as well as an explicit closed form expression for the solution of possibly not well-posed boundary value problems is given avoiding the increase of the problem dimension.http://dx.doi.org/10.1155/S0161171292000681 |
| spellingShingle | R. J. Villanueva L. Jodar Generalized Green's functions for higher order boundary value matrix differential systems International Journal of Mathematics and Mathematical Sciences |
| title | Generalized Green's functions for higher order boundary value matrix differential systems |
| title_full | Generalized Green's functions for higher order boundary value matrix differential systems |
| title_fullStr | Generalized Green's functions for higher order boundary value matrix differential systems |
| title_full_unstemmed | Generalized Green's functions for higher order boundary value matrix differential systems |
| title_short | Generalized Green's functions for higher order boundary value matrix differential systems |
| title_sort | generalized green s functions for higher order boundary value matrix differential systems |
| url | http://dx.doi.org/10.1155/S0161171292000681 |
| work_keys_str_mv | AT rjvillanueva generalizedgreensfunctionsforhigherorderboundaryvaluematrixdifferentialsystems AT ljodar generalizedgreensfunctionsforhigherorderboundaryvaluematrixdifferentialsystems |