Advances in Difference Equations
Volume 2004 (2004), Issue 3, Pages 201-210
doi:10.1155/S1687183904310083
Maximum principles for a family of nonlocal boundary value problems
Department of Mathematics, University of Dayton, Dayton 45469-2316, OH, USA
Received 21 October 2003; Revised 16 February 2004
Copyright © 2004 Paul W. Eloe. 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.
Abstract
We study a family of three-point nonlocal boundary value problems
(BVPs) for an nth-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.