Existence and Monotone Iteration of Positive Pseudosymmetric Solutions for a Third-Order Four-Point BVP

We study the existence and monotone iteration of solutions for a third-order four-point boundary value problem. An existence result of positive, concave, and pseudosymmetric solutions and its monotone iterative scheme are established by using the monotone iterative technique. Meanwhile, as an applic...

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Main Authors: Xuezhe Lv, Libo Wang, Minghe Pei
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/518238
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author Xuezhe Lv
Libo Wang
Minghe Pei
author_facet Xuezhe Lv
Libo Wang
Minghe Pei
author_sort Xuezhe Lv
collection DOAJ
description We study the existence and monotone iteration of solutions for a third-order four-point boundary value problem. An existence result of positive, concave, and pseudosymmetric solutions and its monotone iterative scheme are established by using the monotone iterative technique. Meanwhile, as an application of our results, an example is given.
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issn 1085-3375
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publishDate 2014-01-01
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series Abstract and Applied Analysis
spelling doaj-art-acfbf888705244be96b93b3311a98c0d2025-02-03T01:03:10ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/518238518238Existence and Monotone Iteration of Positive Pseudosymmetric Solutions for a Third-Order Four-Point BVPXuezhe Lv0Libo Wang1Minghe Pei2Department of Mathematics, Beihua University, Jilin 132013, ChinaDepartment of Mathematics, Beihua University, Jilin 132013, ChinaDepartment of Mathematics, Beihua University, Jilin 132013, ChinaWe study the existence and monotone iteration of solutions for a third-order four-point boundary value problem. An existence result of positive, concave, and pseudosymmetric solutions and its monotone iterative scheme are established by using the monotone iterative technique. Meanwhile, as an application of our results, an example is given.http://dx.doi.org/10.1155/2014/518238
spellingShingle Xuezhe Lv
Libo Wang
Minghe Pei
Existence and Monotone Iteration of Positive Pseudosymmetric Solutions for a Third-Order Four-Point BVP
Abstract and Applied Analysis
title Existence and Monotone Iteration of Positive Pseudosymmetric Solutions for a Third-Order Four-Point BVP
title_full Existence and Monotone Iteration of Positive Pseudosymmetric Solutions for a Third-Order Four-Point BVP
title_fullStr Existence and Monotone Iteration of Positive Pseudosymmetric Solutions for a Third-Order Four-Point BVP
title_full_unstemmed Existence and Monotone Iteration of Positive Pseudosymmetric Solutions for a Third-Order Four-Point BVP
title_short Existence and Monotone Iteration of Positive Pseudosymmetric Solutions for a Third-Order Four-Point BVP
title_sort existence and monotone iteration of positive pseudosymmetric solutions for a third order four point bvp
url http://dx.doi.org/10.1155/2014/518238
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