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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
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Texas State University
2010-09-01
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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. |
first_indexed | 2024-12-10T14:37:28Z |
format | Article |
id | doaj.art-ed805a640758450d966f98ddfd5110fd |
institution | Directory Open Access Journal |
issn | 1072-6691 |
language | English |
last_indexed | 2024-12-10T14:37:28Z |
publishDate | 2010-09-01 |
publisher | Texas State University |
record_format | Article |
series | Electronic Journal of Differential Equations |
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 |