International Journal of Mathematics and Mathematical Sciences
Volume 15 (1992), Issue 3, Pages 523-535

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

R. J. Villanueva and L. Jodar

Departamento de Maternática Aplicada, Universidad Politécnica de Valencia, P.O.Box 22012, Valencia, Spain

Received 29 May 1991

Copyright © 1992 R. J. Villanueva and L. Jodar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.