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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| Main Author: | |
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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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| Summary: | 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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| ISSN: | 0161-1712 1687-0425 |