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Positive solutions for a class of fourth order singular sublinear boundary value problems
LI Xiu-zhen1,ZHAO Zeng-qin2
(1. School of Science, Shandong Jiartzhu University,Jinan 250101, China;2. School of Mathematics Science, Qufu Normal University, Qufu 273165,China)
Abstract:
A necessary and sufficient condition as well as uniqueness for the existence of C2 [ 0,1 ] and C3 [ 0,1 ] positive solutions of sublinear singular boundary value problem of fourth order ordinary differential equation was given by means of the fixed point theorems on cones. The results can be used to judge the existence and the uniqueness of positive solutions for given boundary value problems.
Key words:  singular sublinear boundary value problem  positive solution  fixed point theorem