Uniqueness and Parameter Dependence of Positive Solution of Fourth-Order Nonhomogeneous BVPs

<p/> <p>We investigate the following fourth-order four-point nonhomogeneous Sturm-Liouville boundary value problem: <inline-formula> <graphic file="1687-2770-2010-106962-i1.gif"/></inline-formula>, <inline-formula> <graphic file="1687-2770-2010-1...

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Main Authors: Sun Jian-Ping, Wang Xiao-Yun
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Boundary Value Problems
Online Access:http://www.boundaryvalueproblems.com/content/2010/106962
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spelling doaj-d816b514757e4104a222f31e62e53f992020-11-25T01:58:31ZengSpringerOpenBoundary Value Problems1687-27621687-27702010-01-0120101106962Uniqueness and Parameter Dependence of Positive Solution of Fourth-Order Nonhomogeneous BVPsSun Jian-PingWang Xiao-Yun<p/> <p>We investigate the following fourth-order four-point nonhomogeneous Sturm-Liouville boundary value problem: <inline-formula> <graphic file="1687-2770-2010-106962-i1.gif"/></inline-formula>, <inline-formula> <graphic file="1687-2770-2010-106962-i2.gif"/></inline-formula>, <inline-formula> <graphic file="1687-2770-2010-106962-i3.gif"/></inline-formula>, where <inline-formula> <graphic file="1687-2770-2010-106962-i4.gif"/></inline-formula> and <inline-formula> <graphic file="1687-2770-2010-106962-i5.gif"/></inline-formula> are nonnegative parameters. Some sufficient conditions are given for the existence and uniqueness of a positive solution. The dependence of the solution on the parameters <inline-formula> <graphic file="1687-2770-2010-106962-i6.gif"/></inline-formula> is also studied.</p>http://www.boundaryvalueproblems.com/content/2010/106962
collection DOAJ
language English
format Article
sources DOAJ
author Sun Jian-Ping
Wang Xiao-Yun
spellingShingle Sun Jian-Ping
Wang Xiao-Yun
Uniqueness and Parameter Dependence of Positive Solution of Fourth-Order Nonhomogeneous BVPs
Boundary Value Problems
author_facet Sun Jian-Ping
Wang Xiao-Yun
author_sort Sun Jian-Ping
title Uniqueness and Parameter Dependence of Positive Solution of Fourth-Order Nonhomogeneous BVPs
title_short Uniqueness and Parameter Dependence of Positive Solution of Fourth-Order Nonhomogeneous BVPs
title_full Uniqueness and Parameter Dependence of Positive Solution of Fourth-Order Nonhomogeneous BVPs
title_fullStr Uniqueness and Parameter Dependence of Positive Solution of Fourth-Order Nonhomogeneous BVPs
title_full_unstemmed Uniqueness and Parameter Dependence of Positive Solution of Fourth-Order Nonhomogeneous BVPs
title_sort uniqueness and parameter dependence of positive solution of fourth-order nonhomogeneous bvps
publisher SpringerOpen
series Boundary Value Problems
issn 1687-2762
1687-2770
publishDate 2010-01-01
description <p/> <p>We investigate the following fourth-order four-point nonhomogeneous Sturm-Liouville boundary value problem: <inline-formula> <graphic file="1687-2770-2010-106962-i1.gif"/></inline-formula>, <inline-formula> <graphic file="1687-2770-2010-106962-i2.gif"/></inline-formula>, <inline-formula> <graphic file="1687-2770-2010-106962-i3.gif"/></inline-formula>, where <inline-formula> <graphic file="1687-2770-2010-106962-i4.gif"/></inline-formula> and <inline-formula> <graphic file="1687-2770-2010-106962-i5.gif"/></inline-formula> are nonnegative parameters. Some sufficient conditions are given for the existence and uniqueness of a positive solution. The dependence of the solution on the parameters <inline-formula> <graphic file="1687-2770-2010-106962-i6.gif"/></inline-formula> is also studied.</p>
url http://www.boundaryvalueproblems.com/content/2010/106962
work_keys_str_mv AT sunjianping uniquenessandparameterdependenceofpositivesolutionoffourthordernonhomogeneousbvps
AT wangxiaoyun uniquenessandparameterdependenceofpositivesolutionoffourthordernonhomogeneousbvps
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