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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2014-01-01
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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. |
format | Article |
id | doaj-art-acfbf888705244be96b93b3311a98c0d |
institution | Kabale University |
issn | 1085-3375 1687-0409 |
language | English |
publishDate | 2014-01-01 |
publisher | Wiley |
record_format | Article |
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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