In this paper, we study a three-point boundary value problem for p-Laplacian dynamic equations on time scales. By using the Avery and Peterson fixed point theorem, we prove the existence at least three positive solutions of the boundary value problem. The interesting point is that the non-linear term f involves a first-order derivative explicitly. An example is also given to illustrate our results.

中文翻译：

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时间尺度上 p-Laplacian 动力学方程的三点边值问题的正解

在本文中，我们研究了时间尺度上 p-Laplacian 动力学方程的三点边值问题。利用Avery和Peterson不动点定理，我们证明了边值问题至少存在三个正解。有趣的一点是非线性项 f 明确地涉及一阶导数。还给出了一个例子来说明我们的结果。