Abstract By using the bifurcation method, we study the existence of an S-shaped connected component in the set of positive solutions for discrete second-order Neumann boundary value problem. By figuring the shape of unbounded connected component of positive solutions, we show that the Neumann boundary value problem has three positive solutions suggesting suitable conditions on the weight function and nonlinearity.

中文翻译：

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二阶离散Neumann边值问题正解的S形连通分量

摘要 利用分岔方法研究了离散二阶Neumann边值问题的正解集合中是否存在S形连通分量。通过计算正解的无界连通分量的形状，我们表明诺依曼边值问题具有三个正解，表明权函数和非线性的合适条件。