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
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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