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.
出处
《徐州师范大学学报（自然科学版）》
CAS
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)
关键词
增算子
不动点
迭代方法
积分-微分方程
increasing operator
fixed point
iterative technique
integro-differential equation
