Some remarks on three-point and four-point BVP's for second-order nonlinear differential equations

We are interested in the existence of a positive solution to the four-point boundary value problem $$\begin{cases} y''(t)+a(t)f(y(t)) = 0, \quad 0<t<1, y(0)=\alpha y(\xi), y(1)=\beta y(\eta), \end{cases} \tag{*} $$ where $ 0<\xi \leq \eta <1 $, $ 0<\alpha <1/(1-\xi) $,...

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Bibliographic Details
Main Authors: Man Kam Kwong, James S. W. Wong
Format: Article
Language:English
Published: University of Szeged 2009-10-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=422