Solving two-point boundary value problems for the non monic regular matrix differential equation
Navarro, E., Jódar, L. (1991)
Portugaliae mathematica
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Solving two-point boundary value problems for the non monic regular matrix differential equation
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In this paper we show that in an analogous way to the scalar case, the general solution of a non homogeneous second order matrix differential equation may be expressed in terms of the exponential functions of certain matrices related to the corresponding characteristic algebraic matrix equation. We introduce the concept of co-solution of an algebraic equation of the type X^2 + A1.X + A0 = 0, that allows us to obtain a method of the variation of the parameters for the matrix case and...