Necessary and sufficient conditions for the existence of positive solutions of fourth order multi-point boundary value problems |
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| Authors: | Junfang Zhao Libo Wang |
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| Affiliation: | a Department of Mathematics, Beijing Institute of Technology, Beijing 100081, PR China
b Department of Mathematics, Beihua University, Jilin 132013, PR China |
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| 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 C2[0,1] positive solution as well as pseudo-C3[0,1] positive solution is given by means of the fixed point theorems on cones. |
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| Keywords: | 34B10 34B15 34B18 |
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