关键词: 非线性二阶常微分方程, 四点边值问题, Schauder不动点定理

Abstract: We studied a class of second order ordinary differential equations with fourpoint boundary value problems which are widely applied to many fields. We obtained the existence property of a solution for this class of problems using the upper and lower solution method, comparison principle and th e Schauder fixed point theorem. We also provided a numerical example to illustrate the theory.

Key words: nonlinear second order ordinary differential equation, fourpoint boundary value problem, Schauder fixed point theorem