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Necessary and sufficient conditions for the existence of positive solutions of fourth order multi-point boundary value problems
Authors:Junfang Zhao  Libo Wang
Institution:a Department of Mathematics, Beijing Institute of Technology, Beijing 100081, PR China
b Department of Mathematics, Beihua University, Jilin 132013, PR China
Abstract:This paper investigates the existence of positive solutions of singular multi-point boundary value problems of fourth order ordinary differential equation with p-Laplacian. A necessary and sufficient condition for the existence of C20,1] positive solution as well as pseudo-C30,1] positive solution is given by means of the fixed point theorems on cones.
Keywords:34B10  34B15  34B18
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