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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 12 (1989), Issue 1, Pages 131-136
doi:10.1155/S0161171289000189

Linear and Riccati matrix equations

Lloyd K. Williams

Department of Mathematics, Texas Southern University, Houston 77004, Texas, USA

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.