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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Format: | Article |
Language: | English |
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Wiley
2013-01-01
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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. |
format | Article |
id | doaj-art-9067b0a4d0a04035ac7ad6f2a0fdd8e7 |
institution | Kabale University |
issn | 1085-3375 1687-0409 |
language | English |
publishDate | 2013-01-01 |
publisher | Wiley |
record_format | Article |
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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