Positive solution for m-point boundary value problems |
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Authors: | Wing-Sum Cheung Jingli Ren |
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Institution: | a Department of Mathematics, The University of Hong Kong, Pokfulam, Hong Kong b Institute of Systems Science, Chinese Academy of Sciences, Beijing 100080, PR China |
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Abstract: | In this paper, we investigate an m-point boundary value problem with sign changing nonlinearity. The existence of an interval of parameters which ensures the problem has at least one positive solution is determined by constructing available operator and combining the method of lower solution with the method of topology degree. Moreover, the associated Green's function for the above problem is also given. |
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Keywords: | m-Point boundary value problems Green's function Operator Cone |
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