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Advances in Continuous and Discrete Models

Theory and Modern Applications

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Maximum principles for a family of nonlocal boundary value problems

Advances in Difference Equations volume 2004, Article number: 469624 (2004) Cite this article

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.

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

    Paul W Eloe

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  1. Paul W Eloe
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Correspondence to Paul W Eloe.

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Eloe, P.W. Maximum principles for a family of nonlocal boundary value problems. Adv Differ Equ 2004, 469624 (2004). https://doi.org/10.1155/S1687183904310083

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  • DOI: https://doi.org/10.1155/S1687183904310083