Nonlinear n-order m-point Semi-positive Boundary Value Problems and Applications

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Abstract

In our paper, we consider the positive solutions to the nonlinear n-order m-point Semi-positive BVP. In this BVP equation, we allow that f can change symbol for 0 < t < 1, by using the fixed-point index theory, the existence of positive solution and many positive solutions are obtained under the condition that f is super-linear or sub-linear. MSC 34B 16.

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License: CC-BY-4.0