二阶常微分方程边值问题正解的存在性与唯一性

Existence and Uniqueness of Positive Solutions to the Multi-point Boundary Value Problems of Second-Order Ordinary Differential Equations

本文利用偏序集上的不动点定理,证明一类二阶常微分方程边值问题正解的存在性,通过对格林公式的分析获得了唯一性结果。

In this paper,we will study the existence of positive solutions for second order ordinary differential equation boundary value problem by using the fixed-point theorem in partially ordered sets.And through the analysis of Green＇s formula the uniqueness is obtained.