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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| Format: | Article |
| Language: | English |
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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 |
| Summary: | 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 $0<\alpha <\frac{1}{\eta}.$ |
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| ISSN: | 1417-3875 1417-3875 |