Existence of positive solution for a third-order three-point BVP with sign-changing Green's function

Existence of positive solution for a third-order three-point BVP with sign-changing Green's function

By using the Guo-Krasnoselskii fixed point theorem, we investigate the following third-order three-point boundary value problem \[ \left\{ \begin{array}{l} u'''(t)=f(t,u(t)),\ t\in [0,1], \\ u'(0)=u(1)=0,\ u''(\eta)+\alpha u(0)=0, \end{array} \right. \] where $\alpha \i...

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Bibliographic Details
Main Authors: Xing-Long Li, Jian-Ping Sun, Fang-Di Kong
Format: Article
Language:English
Published: University of Szeged 2013-05-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
third-order three-point boundary value problem
sign-changing green's function
positive solution
existence
fixed point
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=2230

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http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=2230

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