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Maximum principles for a family of nonlocal boundary value problems
Advances in Difference Equations volume 2004, Article number: 469624 (2004)
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.
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Eloe, P.W. Maximum principles for a family of nonlocal boundary value problems. Adv Differ Equ 2004, 469624 (2004) doi:10.1155/S1687183904310083