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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Series: | Advances in Difference Equations |
Online Access: | http://www.advancesindifferenceequations.com/content/2004/469624 |
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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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1725501352562393088 |