Solving higher order Fuchs type differential systems avoiding the increase of the problem dimension
In this paper, we develop a Frobenius matrix method for solving higher order systems of differential equations of the Fuchs type. Generalized power series solution of the problem are constructed without increasing the problem dimension. Solving appropriate algebraic matrix equations a closed form ex...
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| Format: | Article |
| Language: | English |
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Wiley
1994-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S016117129400013X |
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| _version_ | 1832554437890015232 |
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| author | E. Navarro L. Jódar R. Company |
| author_facet | E. Navarro L. Jódar R. Company |
| author_sort | E. Navarro |
| collection | DOAJ |
| description | In this paper, we develop a Frobenius matrix method for solving higher order systems of differential equations of the Fuchs type. Generalized power series solution of the problem are constructed without increasing the problem dimension. Solving appropriate algebraic matrix equations a closed form expression for the matrix coefficient of the series are found. By means of the concept of a k-fundamental set of solutions of the homogeneous problem an explicit solution of initial value problems are given. |
| format | Article |
| id | doaj-art-9803c7774a17464d8ff8a1d4c13afefb |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1994-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-9803c7774a17464d8ff8a1d4c13afefb2025-02-03T05:51:35ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251994-01-011719110210.1155/S016117129400013XSolving higher order Fuchs type differential systems avoiding the increase of the problem dimensionE. Navarro0L. Jódar1R. Company2Departamento de Matemática Aplicada, Universidad Politécnica de Valencia, P.O. Box 22.012, Valencia, SpainDepartamento de Matemática Aplicada, Universidad Politécnica de Valencia, P.O. Box 22.012, Valencia, SpainDepartamento de Matemática Aplicada, Universidad Politécnica de Valencia, P.O. Box 22.012, Valencia, SpainIn this paper, we develop a Frobenius matrix method for solving higher order systems of differential equations of the Fuchs type. Generalized power series solution of the problem are constructed without increasing the problem dimension. Solving appropriate algebraic matrix equations a closed form expression for the matrix coefficient of the series are found. By means of the concept of a k-fundamental set of solutions of the homogeneous problem an explicit solution of initial value problems are given.http://dx.doi.org/10.1155/S016117129400013XFuchs type systemseries solutionalgebraic matrix equationco-solutionk-fundamental set. |
| spellingShingle | E. Navarro L. Jódar R. Company Solving higher order Fuchs type differential systems avoiding the increase of the problem dimension International Journal of Mathematics and Mathematical Sciences Fuchs type system series solution algebraic matrix equation co-solution k-fundamental set. |
| title | Solving higher order Fuchs type differential systems avoiding the increase of the problem dimension |
| title_full | Solving higher order Fuchs type differential systems avoiding the increase of the problem dimension |
| title_fullStr | Solving higher order Fuchs type differential systems avoiding the increase of the problem dimension |
| title_full_unstemmed | Solving higher order Fuchs type differential systems avoiding the increase of the problem dimension |
| title_short | Solving higher order Fuchs type differential systems avoiding the increase of the problem dimension |
| title_sort | solving higher order fuchs type differential systems avoiding the increase of the problem dimension |
| topic | Fuchs type system series solution algebraic matrix equation co-solution k-fundamental set. |
| url | http://dx.doi.org/10.1155/S016117129400013X |
| work_keys_str_mv | AT enavarro solvinghigherorderfuchstypedifferentialsystemsavoidingtheincreaseoftheproblemdimension AT ljodar solvinghigherorderfuchstypedifferentialsystemsavoidingtheincreaseoftheproblemdimension AT rcompany solvinghigherorderfuchstypedifferentialsystemsavoidingtheincreaseoftheproblemdimension |