Existence results of 2m-point boundary value problem of Sturm-Liouville type with sign changing nonlinearity

In this paper, we are concerned with a 2m-point boundary value problem with one-dimensional p-Laplacian. By using a fixed point theorem in a cone, the existence of at least one, two or three positive solutions under some sufficient conditions is obtained. The interesting points are that the boundary condition is a new kind of Sturm-Liouville type and the nonlinearity may change sign.

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