Constant sign solutions for second-order m-point boundary-value problems

We will study the existence of constant sign solutions for the second-order m-point boundary-value problem $$displaylines{ u''(t)+f(t,u(t))=0,quad tin(0,1),cr u(0)=0, quad u(1)=sum^{m-2}_{i=1}alpha_i u(eta_i), }$$ where $mgeq3$, $eta_iin(0,1)$ and $alpha_i>0$ for $i=1,dots,m-2$, with $s...

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Bibliographic Details
Published in:Electronic journal of differential equations 2013-03, Vol.2013 (65), p.1-7
Main Author: Jingping Yang
Format: Article
Language:English
Subjects:
bifurcation methods
Constant sign solutions
eigenvalue
Online Access:Get full text
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Summary:We will study the existence of constant sign solutions for the second-order m-point boundary-value problem $$displaylines{ u''(t)+f(t,u(t))=0,quad tin(0,1),cr u(0)=0, quad u(1)=sum^{m-2}_{i=1}alpha_i u(eta_i), }$$ where $mgeq3$, $eta_iin(0,1)$ and $alpha_i>0$ for $i=1,dots,m-2$, with $sum^{m-2}_{i=1}alpha_i
ISSN:1072-6691