Positive solutions of singular fourth-order boundary-value problems

In this paper, we present necessary and sufficient conditions for the existence of positive $C^3[0,1]cap C^4(0,1)$ solutions for the singular boundary-value problem $$displaylines{ x''''(t)=p(t)f(x(t)),quad tin(0,1);cr x(0)=x(1)=x'(0)=x'(1)=0, }$$ where $f(x)$...

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Bibliographic Details
Main Authors: Yujun Cui, Yumei Zou
Format: Article
Language:English
Published: Texas State University 2006-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2006/39/abstr.html