Open Access

Maximum principles for a family of nonlocal boundary value problems

Advances in Difference Equations20042004:469624

https://doi.org/10.1155/S1687183904310083

Received: 21 October 2003

Published: 12 July 2004

Abstract

We study a family of three-point nonlocal boundary value problems (BVPs) for an n th-order linear forward difference equation. In particular, we obtain a maximum principle and determine sign properties of a corresponding Green function. Of interest, we show that the methods used for two-point disconjugacy or right-disfocality results apply to this family of three-point BVPs.

Authors’ Affiliations

(1)
Department of Mathematics, University of Dayton

Copyright

© Eloe 2004