二阶非线性边值问题的正解

摘要

Nonlinear functional analysis has become a modem mathematics as an important branch of the nonlinear problem, the important tool, especially processing applications of some differential equations play an irreplaceable role in. In this paper by using the fixed point theorem in a cone, and the combination of Green function properties, proof of a class of two order boundary value problem positive solution existence.%非线性泛函分析已成为现代数学中的一个重要分支,是处理非线性问题的重要工具,尤其在处理应用中出现的大量微分方程时发挥不可替代的作用。利用锥不动点定理,并结合Green函数性质,证明了一类二阶边值问题的正解存在性。