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

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

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Main Authors: Dan Li, Libo Wang, Minghe Pei
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/192509
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author Dan Li
Libo Wang
Minghe Pei
author_facet Dan Li
Libo Wang
Minghe Pei
author_sort Dan Li
collection DOAJ
description We study the existence and monotone iteration of solutions for a third-order four-point boundary value problem with -Laplacian. 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 result, an example is given.
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institution Kabale University
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publishDate 2013-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-9067b0a4d0a04035ac7ad6f2a0fdd8e72025-02-03T01:30:38ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/192509192509Existence and Monotone Iteration of Positive Pseudosymmetric Solutions for a Third-Order Four-Point BVP with -LaplacianDan Li0Libo 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 with -Laplacian. 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 result, an example is given.http://dx.doi.org/10.1155/2013/192509
spellingShingle Dan Li
Libo Wang
Minghe Pei
Existence and Monotone Iteration of Positive Pseudosymmetric Solutions for a Third-Order Four-Point BVP with -Laplacian
Abstract and Applied Analysis
title Existence and Monotone Iteration of Positive Pseudosymmetric Solutions for a Third-Order Four-Point BVP with -Laplacian
title_full Existence and Monotone Iteration of Positive Pseudosymmetric Solutions for a Third-Order Four-Point BVP with -Laplacian
title_fullStr Existence and Monotone Iteration of Positive Pseudosymmetric Solutions for a Third-Order Four-Point BVP with -Laplacian
title_full_unstemmed Existence and Monotone Iteration of Positive Pseudosymmetric Solutions for a Third-Order Four-Point BVP with -Laplacian
title_short Existence and Monotone Iteration of Positive Pseudosymmetric Solutions for a Third-Order Four-Point BVP with -Laplacian
title_sort existence and monotone iteration of positive pseudosymmetric solutions for a third order four point bvp with laplacian
url http://dx.doi.org/10.1155/2013/192509
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AT libowang existenceandmonotoneiterationofpositivepseudosymmetricsolutionsforathirdorderfourpointbvpwithlaplacian
AT minghepei existenceandmonotoneiterationofpositivepseudosymmetricsolutionsforathirdorderfourpointbvpwithlaplacian