In this paper, we study the existence of positive solutions for the following nonlinear second-order third-point semi-positive BVP. We derive an explicit interval of positive parameters, which for any in this interval, the existence of positive solutions to the boundary value problem is guaranteed under the condition that are all superlinear (sublinear), or one is superlinear, the other is sublinear.

中文翻译：

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二阶三点半正 BVP 正解的存在性

在本文中，我们研究了以下非线性二阶三点半正 BVP 正解的存在性。我们推导出一个明确的正参数区间，对于任何 在该区间内，边值问题的正解的存在性得到保证，条件是 都是超线性（sublinear），或者一个是超线性的，另一个是亚线性的。