An algebraic approach for solving boundary value matrix problems: existence, uniqueness and closed form solutions.

Título inglés	An algebraic approach for solving boundary value matrix problems: existence, uniqueness and closed form solutions.
Título español	Método algebraico para resolver problemas matriciales de valores de contorno: existencia, unicidad y soluciones de forma aproximada.
Autor/es	Jódar Sanchez, Lucas A.
Organización	Esc. Téc. Super. Ing. Ind. Valencia, Valencia, España
Revista	0214-3577
Publicación	1988, 1 (1-2-3): 145-155, 14 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	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 further to find existence, uniqueness conditions for solutions of boundary value problems. These conditions are of algebraic type, involving the Penrose-Moore pseudoinverse of a matrix related to the problem. A computable closed form for solutions of the problem is given.
Clasificación UNESCO	120219
Palabras clave español	Ecuaciones diferenciales ordinarias ; Ecuaciones matriciales ; Problema de contorno ; Modelo algebraico ; Soluciones
Código MathReviews	MR0977046
Código Z-Math	Zbl 0669.34022
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