Linear and Riccati matrix equations
In this paper we find exact solutions for linear ordinary differential equations of any order when they are given in matrix form, as well as for classes of Riccati matrix equations with two or three arbitrary matrix coefficients. Other nonlinear systems of triangular form are also solved completely.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1989-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171289000189 |
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| _version_ | 1832564931629678592 |
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| author | Lloyd K. Williams |
| author_facet | Lloyd K. Williams |
| author_sort | Lloyd K. Williams |
| collection | DOAJ |
| description | In this paper we find exact solutions for linear ordinary differential equations
of any order when they are given in matrix form, as well as for classes of Riccati
matrix equations with two or three arbitrary matrix coefficients. Other nonlinear systems
of triangular form are also solved completely. |
| format | Article |
| id | doaj-art-03121c38db684e56ba8c9d6b40f3551f |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1989-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-03121c38db684e56ba8c9d6b40f3551f2025-02-03T01:09:48ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251989-01-0112113113610.1155/S0161171289000189Linear and Riccati matrix equationsLloyd K. Williams0Department of Mathematics, Texas Southern University, Houston 77004, Texas, USAIn this paper we find exact solutions for linear ordinary differential equations of any order when they are given in matrix form, as well as for classes of Riccati matrix equations with two or three arbitrary matrix coefficients. Other nonlinear systems of triangular form are also solved completely.http://dx.doi.org/10.1155/S0161171289000189 |
| spellingShingle | Lloyd K. Williams Linear and Riccati matrix equations International Journal of Mathematics and Mathematical Sciences |
| title | Linear and Riccati matrix equations |
| title_full | Linear and Riccati matrix equations |
| title_fullStr | Linear and Riccati matrix equations |
| title_full_unstemmed | Linear and Riccati matrix equations |
| title_short | Linear and Riccati matrix equations |
| title_sort | linear and riccati matrix equations |
| url | http://dx.doi.org/10.1155/S0161171289000189 |
| work_keys_str_mv | AT lloydkwilliams linearandriccatimatrixequations |