算子组合的不动点定理及非线性边值问题广义解的存在性

Fixed Point Theorem of Operator Combination and the Existence Of Generalized solution of nonlinear Boundary Value Problem

各种不同类型的算子组合的不动点定理早已被人们提出并研究过,为着应用的目的,构造一些更为方便的不动点定理常常是需要的,本文给出一个Banach空间中算子不动点定理,并用它讨论非线性边值问题广义解的存在性问题。

Various fixed point theorem of operator combination were posed and studied. For practical application, it is necessary to construct more convenient fixed point theorem .In this paper, an operator fixed point theorem in Banach space is given and the existence of generalized Solution of nonlinear boundary value problem is discussed through this theorem.