A New Generalization of the Liouville-Jacobi Identity
Abstract
A generalized Liouville-Jacobi Identity is proved for the determinant X(t) of a solution X(t) to the linear nonhomogeneous first-order matrix differential equation with left- and right-coefficient matrices \ d dt X(t) + A(t)X(t) + X(t)B(t)= F(t), \ X(t0)=X0.
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