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Positive solution for a class of nonlinear fourth-order singular semipositone problem
Zhaocai Hao 1, Shanbao Hu 2
1.School of Mathematical Sciences,Qufu Normal University, Qufu Normal University,Qufu 273165, Shandong, People's Republic of China
2. School of Mathematical Sciences,Qufu Normal University, Qufu Normal University,Qufu 273165, Shandong, People's Republic of China
*Correspondence author
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Funding: Zhaocai Haoacknowledges support from NSFC (10771117) and PH.D. ProgramsFoundation of Ministry of Education of China(20093705120002（No.BSQD07026）
Opened online:14 December 2012
Accepted by: none
Citation: Zhaocai Hao, Shanbao Hu.Positive solution for a class of nonlinear fourth-order singular semipositone problem[OL]. [14 December 2012] http://en.paper.edu.cn/en_releasepaper/content/4498574
 
 
Reviews: We study the existence of positive solutions of a Sturm-Liouville boundary valueproblem for fourth-order nonlinear singular semipositone differential equations. By the fixed point theorem,the existence of the positive solutions is established. An example is given to demonstrate the application of our main results.This work extends and complements some results in the literature on this topic.
Keywords:Singular semipositone systems;Fourth-order boundary value problem;Positive solution;Cone
 
 
 

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