关键词: 三点边值问题, 正解, 不动点定理, 重合度定理

Abstract: In this paper, we consider existence of single or multiple positive solutions of three-point boundary value problems involving one-dimensional $p$-Laplacian. We then study existence of solutions when the problems are in resonance cases. The proposed approach is based on the Krasnoselskii's fixed point theorem and the coincidence degree.

Key words: three-point boundary value problems, positive solution, fixed point theorem, coincidence degree theorem