非线性三阶三点边值问题的拟上下解方法

Quasi-Upper and Lower Solutions of Nonlinear Third-order Three-point Boundary Value Problem

通过构造拟上下解的单调迭代过程,在拟解对之间利用Sadvoskii不动点定理获得了Banach空间非线性三阶三点边值问题解的存在性.

By employing the Sadvoskii fixed point theorem and constructing the monotone iterative process of the quasi--upper and lower solutions,the existence of solutions between quasi--solutions is obtained for non- linear third order three point boundary value problems in Banach spaces.