Existence of positive solutions for a multi-point four-order boundary-value problem

Existence of positive solutions for a multi-point four-order boundary-value problem

The article shows sufficient conditions for the existence of positive solutions to a multi-point boundary-value problem for a fourth-order differential equation. Our main tools are the Guo-Krasnoselskii fixed point theorem and the monotone iterative technique. We also show that the set of posit...

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Bibliographic Details
Main Authors: Le Xuan Truong, Phan Dinh Phung
Format: Article
Language:English
Published: Texas State University 2011-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Multi point
boundary value problem
Green function
positive solution
Guo-Krasnoselskii fixed point theorem
Online Access:http://ejde.math.txstate.edu/Volumes/2011/129/abstr.html
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spelling doaj-5bed3bd2939a43a58c95433a0ae61c252020-11-24T20:46:00ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912011-10-012011129,110Existence of positive solutions for a multi-point four-order boundary-value problemLe Xuan TruongPhan Dinh PhungThe article shows sufficient conditions for the existence of positive solutions to a multi-point boundary-value problem for a fourth-order differential equation. Our main tools are the Guo-Krasnoselskii fixed point theorem and the monotone iterative technique. We also show that the set of positive solutions is compact. http://ejde.math.txstate.edu/Volumes/2011/129/abstr.htmlMulti pointboundary value problemGreen functionpositive solutionGuo-Krasnoselskii fixed point theorem
collection DOAJ
language English
format Article
sources DOAJ
author Le Xuan Truong
Phan Dinh Phung
spellingShingle Le Xuan Truong
Phan Dinh Phung
Existence of positive solutions for a multi-point four-order boundary-value problem
Electronic Journal of Differential Equations
Multi point
boundary value problem
Green function
positive solution
Guo-Krasnoselskii fixed point theorem
author_facet Le Xuan Truong
Phan Dinh Phung
author_sort Le Xuan Truong
title Existence of positive solutions for a multi-point four-order boundary-value problem
title_short Existence of positive solutions for a multi-point four-order boundary-value problem
title_full Existence of positive solutions for a multi-point four-order boundary-value problem
title_fullStr Existence of positive solutions for a multi-point four-order boundary-value problem
title_full_unstemmed Existence of positive solutions for a multi-point four-order boundary-value problem
title_sort existence of positive solutions for a multi-point four-order boundary-value problem
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2011-10-01
description The article shows sufficient conditions for the existence of positive solutions to a multi-point boundary-value problem for a fourth-order differential equation. Our main tools are the Guo-Krasnoselskii fixed point theorem and the monotone iterative technique. We also show that the set of positive solutions is compact.
topic Multi point
boundary value problem
Green function
positive solution
Guo-Krasnoselskii fixed point theorem
url http://ejde.math.txstate.edu/Volumes/2011/129/abstr.html
work_keys_str_mv AT lexuantruong existenceofpositivesolutionsforamultipointfourorderboundaryvalueproblem
AT phandinhphung existenceofpositivesolutionsforamultipointfourorderboundaryvalueproblem
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