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

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  • R. J. Villanueva
  • L. Jodar

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.

Suggested Citation

  • R. J. Villanueva & L. Jodar, 1992. "Generalized Green's functions for higher order boundary value matrix differential systems," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 15, pages 1-13, January.
    • Handle: RePEc:hin:jijmms:217938
    DOI: 10.1155/S0161171292000681
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