Positive solutions to a nonlinear third order three-point boundary value problem

We consider a third order three point boundary value problem. Some upper and lower estimates for positive solutions of the problem are proved. Sufficient conditions for the existence and nonexistence of positive solutions for the problem are obtained. An example is included to illustrate the res...

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Main Authors: John R. Graef, Lingju Kong, Bo Yang
Format: Article
Language:English
Published: Texas State University 2010-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/conf-proc/19/g3/abstr.html
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author John R. Graef
Lingju Kong
Bo Yang
author_facet John R. Graef
Lingju Kong
Bo Yang
author_sort John R. Graef
collection DOAJ
description We consider a third order three point boundary value problem. Some upper and lower estimates for positive solutions of the problem are proved. Sufficient conditions for the existence and nonexistence of positive solutions for the problem are obtained. An example is included to illustrate the results.
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spelling doaj.art-ed805a640758450d966f98ddfd5110fd2022-12-22T01:44:47ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912010-09-01201019151159Positive solutions to a nonlinear third order three-point boundary value problemJohn R. GraefLingju KongBo YangWe consider a third order three point boundary value problem. Some upper and lower estimates for positive solutions of the problem are proved. Sufficient conditions for the existence and nonexistence of positive solutions for the problem are obtained. An example is included to illustrate the results.http://ejde.math.txstate.edu/conf-proc/19/g3/abstr.htmlBoundary value problemsexistence of positivesolutionsnonexistence of positive solutionsnonlinearequationsthird order problemthree point boundary conditions
spellingShingle John R. Graef
Lingju Kong
Bo Yang
Positive solutions to a nonlinear third order three-point boundary value problem
Electronic Journal of Differential Equations
Boundary value problems
existence of positive
solutions
nonexistence of positive solutions
nonlinear
equations
third order problem
three point boundary conditions
title Positive solutions to a nonlinear third order three-point boundary value problem
title_full Positive solutions to a nonlinear third order three-point boundary value problem
title_fullStr Positive solutions to a nonlinear third order three-point boundary value problem
title_full_unstemmed Positive solutions to a nonlinear third order three-point boundary value problem
title_short Positive solutions to a nonlinear third order three-point boundary value problem
title_sort positive solutions to a nonlinear third order three point boundary value problem
topic Boundary value problems
existence of positive
solutions
nonexistence of positive solutions
nonlinear
equations
third order problem
three point boundary conditions
url http://ejde.math.txstate.edu/conf-proc/19/g3/abstr.html
work_keys_str_mv AT johnrgraef positivesolutionstoanonlinearthirdorderthreepointboundaryvalueproblem
AT lingjukong positivesolutionstoanonlinearthirdorderthreepointboundaryvalueproblem
AT boyang positivesolutionstoanonlinearthirdorderthreepointboundaryvalueproblem