In this article, by using a fixed point theorem, we study following fourth-order three-point BVP: where f ∈ C ([0,1]×[0,+∞),[0,+∞)) α ∈ [0,6) and . The main point to emphasize is that although the corresponding Green’s function is changing signs, by applying the fixed point theorem, we can still obtain at least two positive solutions and degreased solutions under certain suitable conditions.
KeywordsFourth-Order Fourth-Point Boundary Value ProblemFunctionPositive SolutionExistenceFixed Point Greens Function
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