Triple Positive Solutions of a Nonlocal Boundary Value Problem for Singular Differential Equations with p-Laplacian

We establish the existence of triple positive solutions of an m-point boundary value problem for the nonlinear singular second-order differential equations of mixed type with a p-Laplacian operator by Leggett-William fixed point theorem. At last, we give an example to demonstrate the use of the main...

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Main Authors: Jufang Wang, Changlong Yu, Yanping Guo
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/613672
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author Jufang Wang
Changlong Yu
Yanping Guo
author_facet Jufang Wang
Changlong Yu
Yanping Guo
author_sort Jufang Wang
collection DOAJ
description We establish the existence of triple positive solutions of an m-point boundary value problem for the nonlinear singular second-order differential equations of mixed type with a p-Laplacian operator by Leggett-William fixed point theorem. At last, we give an example to demonstrate the use of the main result of this paper. The conclusions in this paper essentially extend and improve the known results.
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spelling doaj-art-2aa0cfcdc054447fb075df2d6ee3f7962025-02-03T01:04:43ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/613672613672Triple Positive Solutions of a Nonlocal Boundary Value Problem for Singular Differential Equations with p-LaplacianJufang Wang0Changlong Yu1Yanping Guo2College of Sciences, Hebei University of Science and Technology, Shijiazhuang, Hebei 050018, ChinaCollege of Sciences, Hebei University of Science and Technology, Shijiazhuang, Hebei 050018, ChinaCollege of Sciences, Hebei University of Science and Technology, Shijiazhuang, Hebei 050018, ChinaWe establish the existence of triple positive solutions of an m-point boundary value problem for the nonlinear singular second-order differential equations of mixed type with a p-Laplacian operator by Leggett-William fixed point theorem. At last, we give an example to demonstrate the use of the main result of this paper. The conclusions in this paper essentially extend and improve the known results.http://dx.doi.org/10.1155/2013/613672
spellingShingle Jufang Wang
Changlong Yu
Yanping Guo
Triple Positive Solutions of a Nonlocal Boundary Value Problem for Singular Differential Equations with p-Laplacian
Abstract and Applied Analysis
title Triple Positive Solutions of a Nonlocal Boundary Value Problem for Singular Differential Equations with p-Laplacian
title_full Triple Positive Solutions of a Nonlocal Boundary Value Problem for Singular Differential Equations with p-Laplacian
title_fullStr Triple Positive Solutions of a Nonlocal Boundary Value Problem for Singular Differential Equations with p-Laplacian
title_full_unstemmed Triple Positive Solutions of a Nonlocal Boundary Value Problem for Singular Differential Equations with p-Laplacian
title_short Triple Positive Solutions of a Nonlocal Boundary Value Problem for Singular Differential Equations with p-Laplacian
title_sort triple positive solutions of a nonlocal boundary value problem for singular differential equations with p laplacian
url http://dx.doi.org/10.1155/2013/613672
work_keys_str_mv AT jufangwang triplepositivesolutionsofanonlocalboundaryvalueproblemforsingulardifferentialequationswithplaplacian
AT changlongyu triplepositivesolutionsofanonlocalboundaryvalueproblemforsingulardifferentialequationswithplaplacian
AT yanpingguo triplepositivesolutionsofanonlocalboundaryvalueproblemforsingulardifferentialequationswithplaplacian