Positive solutions of three-point nonlinear second order boundary value problem
In this paper we apply a cone theoretic fixed point theorem and obtain conditions for the existence of positive solutions to the three-point nonlinear second order boundary value problem $$ u''(t)+\lambda a(t)f(u(t)) = 0, \;\;\;t\in(0,1)$$ $$u(0)=0,\;\;\;\; \alpha u(\eta)=u(1),$$ where $0&...
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University of Szeged
2002-01-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=121 |
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doaj-f3921fdfed8b4d779ae030412bd7804c2021-07-14T07:21:18ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752002-01-0120021511110.14232/ejqtde.2002.1.15121Positive solutions of three-point nonlinear second order boundary value problemYoussef Raffoul0University of DaytonIn this paper we apply a cone theoretic fixed point theorem and obtain conditions for the existence of positive solutions to the three-point nonlinear second order boundary value problem $$ u''(t)+\lambda a(t)f(u(t)) = 0, \;\;\;t\in(0,1)$$ $$u(0)=0,\;\;\;\; \alpha u(\eta)=u(1),$$ where $0<\eta<1$ and $0<\alpha <\frac{1}{\eta}.$http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=121 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Youssef Raffoul |
| spellingShingle |
Youssef Raffoul Positive solutions of three-point nonlinear second order boundary value problem Electronic Journal of Qualitative Theory of Differential Equations |
| author_facet |
Youssef Raffoul |
| author_sort |
Youssef Raffoul |
| title |
Positive solutions of three-point nonlinear second order boundary value problem |
| title_short |
Positive solutions of three-point nonlinear second order boundary value problem |
| title_full |
Positive solutions of three-point nonlinear second order boundary value problem |
| title_fullStr |
Positive solutions of three-point nonlinear second order boundary value problem |
| title_full_unstemmed |
Positive solutions of three-point nonlinear second order boundary value problem |
| title_sort |
positive solutions of three-point nonlinear second order boundary value problem |
| publisher |
University of Szeged |
| series |
Electronic Journal of Qualitative Theory of Differential Equations |
| issn |
1417-3875 1417-3875 |
| publishDate |
2002-01-01 |
| description |
In this paper we apply a cone theoretic fixed point theorem and obtain conditions for the existence of positive solutions to the three-point nonlinear second order boundary value problem
$$ u''(t)+\lambda a(t)f(u(t)) = 0, \;\;\;t\in(0,1)$$
$$u(0)=0,\;\;\;\; \alpha u(\eta)=u(1),$$
where $0<\eta<1$ and $0<\alpha <\frac{1}{\eta}.$ |
| url |
http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=121 |
| work_keys_str_mv |
AT youssefraffoul positivesolutionsofthreepointnonlinearsecondorderboundaryvalueproblem |
| _version_ |
1721303993106300928 |