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  • Research Article
  • Open Access

Maximum principles for a family of nonlocal boundary value problems

Advances in Difference Equations20042004:469624

  • Received: 21 October 2003
  • Published:


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

Department of Mathematics, University of Dayton, Dayton, OH 45469-2316, USA


© Eloe 2004