Solvability of Nth Order Linear Boundary Value Problems
This paper presents a method that provides necessary and sufficient conditions for the existence of solutions of nth order linear boundary value problems. The method is based on the recursive application of a linear integral operator to some functions and the comparison of the result with these same...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2015/230405 |
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| _version_ | 1849685621962964992 |
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| author | P. Almenar L. Jódar |
| author_facet | P. Almenar L. Jódar |
| author_sort | P. Almenar |
| collection | DOAJ |
| description | This paper presents a method that provides necessary and sufficient conditions for the existence of solutions of nth order linear boundary value problems. The method is based on the recursive application of a linear integral operator to some functions and the comparison of the result with these same functions. The recursive comparison yields sequences of bounds of extremes that converge to the exact values of the extremes of the BVP for which a solution exists. |
| format | Article |
| id | doaj-art-c4311b50d9d246f2a5fcf49a473318c3 |
| institution | DOAJ |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-c4311b50d9d246f2a5fcf49a473318c32025-08-20T03:23:03ZengWileyInternational Journal of Differential Equations1687-96431687-96512015-01-01201510.1155/2015/230405230405Solvability of Nth Order Linear Boundary Value ProblemsP. Almenar0L. Jódar1Vodafone Spain, Avenida América 115, 28042 Madrid, SpainInstituto Universitario de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera s/n, 46022 Valencia, SpainThis paper presents a method that provides necessary and sufficient conditions for the existence of solutions of nth order linear boundary value problems. The method is based on the recursive application of a linear integral operator to some functions and the comparison of the result with these same functions. The recursive comparison yields sequences of bounds of extremes that converge to the exact values of the extremes of the BVP for which a solution exists.http://dx.doi.org/10.1155/2015/230405 |
| spellingShingle | P. Almenar L. Jódar Solvability of Nth Order Linear Boundary Value Problems International Journal of Differential Equations |
| title | Solvability of Nth Order Linear Boundary Value Problems |
| title_full | Solvability of Nth Order Linear Boundary Value Problems |
| title_fullStr | Solvability of Nth Order Linear Boundary Value Problems |
| title_full_unstemmed | Solvability of Nth Order Linear Boundary Value Problems |
| title_short | Solvability of Nth Order Linear Boundary Value Problems |
| title_sort | solvability of nth order linear boundary value problems |
| url | http://dx.doi.org/10.1155/2015/230405 |
| work_keys_str_mv | AT palmenar solvabilityofnthorderlinearboundaryvalueproblems AT ljodar solvabilityofnthorderlinearboundaryvalueproblems |