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Sponsored by the Center for Science and Technology Development of the Ministry of Education
Supervised by Ministry of Education of the People's Republic of China
The existence and incomparability of positive solutions to a class of fourth order super-linear m-point singular boundary value problems
Du Xinsheng * #
School of Mathematics Sciences, Qufu Normal University, ShanDong QuFu 273165
*Correspondence author
#Submitted by
Subject:
Funding:
SRFDP(No.NO. 20103705120002)
Opened online: 9 September 2013
Accepted by:
none
Citation: Du Xinsheng.The existence and incomparability of positive solutions to a class of fourth order super-linear m-point singular boundary value problems[OL]. [ 9 September 2013] http://en.paper.edu.cn/en_releasepaper/content/4558046
This paper investigates the existence of positive solutions to a class of fourth order singular super-linear m-point boundary value problems. A necessary and sufficient condition for the existence of positive solutions is given by means of the fixed point theorems of cone expansion and compression with norm type. We also investigate the incomparability of positive solutions.
Keywords:Singular boundary value problems; Superlinearity; Positive solutions