关键词: p-Laplace算子, 三点边值问题, 锥拉伸与锥压缩不动点定理, 单调正解

Abstract: This paper deals with the existence of monotone positive solutions to a type of three point boundary value problems of nonlinear secondorder differential equations with p-Laplacian operator. On the basis of the fixed point theorem on cone, sufficient conditions for the existence of monotone positive solutions are given to the boundary value problems with homogeneous and nonhomogeneous boundary conditions, respectively, and the convexity of solution curves is decided.

Key words: p-Laplacian operator, threepoint boundary value problem, the fixed point theorem on cone, monotone positive solutions