International Journal of Mathematics and Mathematical Sciences 
Volume 15 (1992), Issue 3, Pages 523-535
doi:10.1155/S0161171292000681

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

Abstract

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.