增算子不动点的迭代方法及其应用  

The Iterative Technique of Fixed Point for Increasing Operators and Its Application

作　　者：陆海霞[1] 

机构地区：[1]宿迁学院

出　　处：《徐州师范大学学报（自然科学版）》2006年第2期41-45,共5页Journal of Xuzhou Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10371066)

摘　　要：设E是Banach空间,本文给出了C[I,E]空间中增算子不动点的迭代方法.利用该方法讨论了Banach空间中非线性积分-微分方程初值问题解的存在性及其迭代求法.A new theorem of fixed point and an iterative technique for increasing operators in C[I,E] are obtained,where E is a Banach space. As an application,the existence of solutions and the iterative technique of the initial value problem for nonlinear integro-differential equations in Banach spaces are discussed.

关 键 词：增算子 不动点 迭代方法 积分-微分方程 

分 类 号：O175.6[理学—数学]