Positive solutions for a high-order multi-point boundary-value problem in Banach spaces

Using the fixed point theory of strict set contractions, we study the existence of at least one, two, and multiple positive solutions for higher order multiple point boundary-value problems in Banach spaces. Our result extends some of the existing results.

Bibliographic Details
Main Author: Weihua Jiang
Format: Article
Language:English
Published: Texas State University 2008-05-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2008/70/abstr.html
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author Weihua Jiang
author_facet Weihua Jiang
author_sort Weihua Jiang
collection DOAJ
description Using the fixed point theory of strict set contractions, we study the existence of at least one, two, and multiple positive solutions for higher order multiple point boundary-value problems in Banach spaces. Our result extends some of the existing results.
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spelling doaj.art-ff6ca5dd85f44d77923a82812d458f682022-12-22T02:52:31ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912008-05-01200870119Positive solutions for a high-order multi-point boundary-value problem in Banach spacesWeihua JiangUsing the fixed point theory of strict set contractions, we study the existence of at least one, two, and multiple positive solutions for higher order multiple point boundary-value problems in Banach spaces. Our result extends some of the existing results.http://ejde.math.txstate.edu/Volumes/2008/70/abstr.htmlBanach spacepositive solutionstrict set contractionboundary-value problem
spellingShingle Weihua Jiang
Positive solutions for a high-order multi-point boundary-value problem in Banach spaces
Electronic Journal of Differential Equations
Banach space
positive solution
strict set contraction
boundary-value problem
title Positive solutions for a high-order multi-point boundary-value problem in Banach spaces
title_full Positive solutions for a high-order multi-point boundary-value problem in Banach spaces
title_fullStr Positive solutions for a high-order multi-point boundary-value problem in Banach spaces
title_full_unstemmed Positive solutions for a high-order multi-point boundary-value problem in Banach spaces
title_short Positive solutions for a high-order multi-point boundary-value problem in Banach spaces
title_sort positive solutions for a high order multi point boundary value problem in banach spaces
topic Banach space
positive solution
strict set contraction
boundary-value problem
url http://ejde.math.txstate.edu/Volumes/2008/70/abstr.html
work_keys_str_mv AT weihuajiang positivesolutionsforahighordermultipointboundaryvalueprobleminbanachspaces