International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 1989 / Article

Open Access

Volume 12 |Article ID 928108 | https://doi.org/10.1155/S0161171289000189

Lloyd K. Williams, "Linear and Riccati matrix equations", International Journal of Mathematics and Mathematical Sciences, vol. 12, Article ID 928108, 6 pages, 1989. https://doi.org/10.1155/S0161171289000189

Linear and Riccati matrix equations

Received01 Jul 1986
Revised14 Apr 1987

Abstract

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.

Copyright © 1989 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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