Generalized Green′s functions for higher order boundary value matrix differential systems

Rafael Jacinto Villanueva, Lucas Jódar · International Journal of Mathematics and Mathematical Sciences · 1992

In this paper, a Green′s matrix function for higher order two point boundary value differential matrix problems is constructed. By using the concept of rectangular co‐solution of certain algebraic matrix equation associated to the problem, an existence condition as well as an explicit closed form expression for the solution of possibly not well‐posed boundary value problems is given avoiding the increase of the problem dimension.

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