Existence of Solution and Positive Solution for a Nonlinear Third-Order <inline-formula> <graphic file="1687-1812-2010-126192-i1.gif"/></inline-formula>-Point BVP

Existence of Solution and Positive Solution for a Nonlinear Third-Order <inline-formula> <graphic file="1687-1812-2010-126192-i1.gif"/></inline-formula>-Point BVP

<p/> <p>In this paper, we are concerned with the following nonlinear third-order <inline-formula> <graphic file="1687-1812-2010-126192-i2.gif"/></inline-formula>-point boundary value problem: <inline-formula> <graphic file="1687-1812-2010-126192-...

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Main Authors: Sun Jian-Ping, Jin Fan-Xia
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Fixed Point Theory and Applications
Online Access:http://www.fixedpointtheoryandapplications.com/content/2010/126192
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spelling doaj-6248ed25a705465fbbbc3fb742f65aa12020-11-25T01:58:31ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122010-01-0120101126192Existence of Solution and Positive Solution for a Nonlinear Third-Order <inline-formula> <graphic file="1687-1812-2010-126192-i1.gif"/></inline-formula>-Point BVPSun Jian-PingJin Fan-Xia<p/> <p>In this paper, we are concerned with the following nonlinear third-order <inline-formula> <graphic file="1687-1812-2010-126192-i2.gif"/></inline-formula>-point boundary value problem: <inline-formula> <graphic file="1687-1812-2010-126192-i3.gif"/></inline-formula>, <inline-formula> <graphic file="1687-1812-2010-126192-i4.gif"/></inline-formula>, <inline-formula> <graphic file="1687-1812-2010-126192-i5.gif"/></inline-formula>, <inline-formula> <graphic file="1687-1812-2010-126192-i6.gif"/></inline-formula>, <inline-formula> <graphic file="1687-1812-2010-126192-i7.gif"/></inline-formula>. Some existence criteria of solution and positive solution are established by using the Schauder fixed point theorem. An example is also included to illustrate the importance of the results obtained.</p>http://www.fixedpointtheoryandapplications.com/content/2010/126192
collection DOAJ
language English
format Article
sources DOAJ
author Sun Jian-Ping
Jin Fan-Xia
spellingShingle Sun Jian-Ping
Jin Fan-Xia
Existence of Solution and Positive Solution for a Nonlinear Third-Order <inline-formula> <graphic file="1687-1812-2010-126192-i1.gif"/></inline-formula>-Point BVP
Fixed Point Theory and Applications
author_facet Sun Jian-Ping
Jin Fan-Xia
author_sort Sun Jian-Ping
title Existence of Solution and Positive Solution for a Nonlinear Third-Order <inline-formula> <graphic file="1687-1812-2010-126192-i1.gif"/></inline-formula>-Point BVP
title_short Existence of Solution and Positive Solution for a Nonlinear Third-Order <inline-formula> <graphic file="1687-1812-2010-126192-i1.gif"/></inline-formula>-Point BVP
title_full Existence of Solution and Positive Solution for a Nonlinear Third-Order <inline-formula> <graphic file="1687-1812-2010-126192-i1.gif"/></inline-formula>-Point BVP
title_fullStr Existence of Solution and Positive Solution for a Nonlinear Third-Order <inline-formula> <graphic file="1687-1812-2010-126192-i1.gif"/></inline-formula>-Point BVP
title_full_unstemmed Existence of Solution and Positive Solution for a Nonlinear Third-Order <inline-formula> <graphic file="1687-1812-2010-126192-i1.gif"/></inline-formula>-Point BVP
title_sort existence of solution and positive solution for a nonlinear third-order <inline-formula> <graphic file="1687-1812-2010-126192-i1.gif"/></inline-formula>-point bvp
publisher SpringerOpen
series Fixed Point Theory and Applications
issn 1687-1820
1687-1812
publishDate 2010-01-01
description <p/> <p>In this paper, we are concerned with the following nonlinear third-order <inline-formula> <graphic file="1687-1812-2010-126192-i2.gif"/></inline-formula>-point boundary value problem: <inline-formula> <graphic file="1687-1812-2010-126192-i3.gif"/></inline-formula>, <inline-formula> <graphic file="1687-1812-2010-126192-i4.gif"/></inline-formula>, <inline-formula> <graphic file="1687-1812-2010-126192-i5.gif"/></inline-formula>, <inline-formula> <graphic file="1687-1812-2010-126192-i6.gif"/></inline-formula>, <inline-formula> <graphic file="1687-1812-2010-126192-i7.gif"/></inline-formula>. Some existence criteria of solution and positive solution are established by using the Schauder fixed point theorem. An example is also included to illustrate the importance of the results obtained.</p>
url http://www.fixedpointtheoryandapplications.com/content/2010/126192
work_keys_str_mv AT sunjianping existenceofsolutionandpositivesolutionforanonlinearthirdorderinlineformulagraphicfile168718122010126192i1gifinlineformulapointbvp
AT jinfanxia existenceofsolutionandpositivesolutionforanonlinearthirdorderinlineformulagraphicfile168718122010126192i1gifinlineformulapointbvp
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