Maximum principles for a family of nonlocal boundary value problems

<p/> <p>We study a family of three-point nonlocal boundary value problems (BVPs) for an <it>n</it>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 th...

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Main Author: Eloe Paul W
Format: Article
Language:English
Published: SpringerOpen 2004-01-01
Series:Advances in Difference Equations
Online Access:http://www.advancesindifferenceequations.com/content/2004/469624
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spelling doaj-367d95bffe2c4e6399574dd19f3883a92020-11-24T23:43:30ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472004-01-0120043469624Maximum principles for a family of nonlocal boundary value problemsEloe Paul W<p/> <p>We study a family of three-point nonlocal boundary value problems (BVPs) for an <it>n</it>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.</p>http://www.advancesindifferenceequations.com/content/2004/469624
collection DOAJ
language English
format Article
sources DOAJ
author Eloe Paul W
spellingShingle Eloe Paul W
Maximum principles for a family of nonlocal boundary value problems
Advances in Difference Equations
author_facet Eloe Paul W
author_sort Eloe Paul W
title Maximum principles for a family of nonlocal boundary value problems
title_short Maximum principles for a family of nonlocal boundary value problems
title_full Maximum principles for a family of nonlocal boundary value problems
title_fullStr Maximum principles for a family of nonlocal boundary value problems
title_full_unstemmed Maximum principles for a family of nonlocal boundary value problems
title_sort maximum principles for a family of nonlocal boundary value problems
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1839
1687-1847
publishDate 2004-01-01
description <p/> <p>We study a family of three-point nonlocal boundary value problems (BVPs) for an <it>n</it>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.</p>
url http://www.advancesindifferenceequations.com/content/2004/469624
work_keys_str_mv AT eloepaulw maximumprinciplesforafamilyofnonlocalboundaryvalueproblems
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