Banach空间不连续非增Volterra型积分方程的迭代唯一解  

The Iterative Unique Solution for Discontinuous Nonmonotone Volterra Type Integral Equations in Banach Spaces

作　　者：刘立山[1] 

机构地区：[1]曲阜师范大学数学系,山东曲阜273165

出　　处：《应用泛函分析学报》2001年第3期271-277,共7页Acta Analysis Functionalis Applicata

基　　金：国家自然科学基金 ( 1 9871 0 4 8);山东省自然科学基金 ( Y98A0 90 1 2 )

摘　　要：在非常弱的条件下研究了一般序 Banach空间不连续非增 Volterra型积分方程的迭代唯一解 ,并给出了一致收敛于唯一解迭代序列的误差估计式 ,然后应用到序 Banach空间中一阶微分方程的初值问题 。In this paper, the iterative unique solution of the discontinuous nonmonotone Volterra type integral equations in ordered Banach spaces are investigated under very weakly conditions. The error estimate of the iterative sequences of approximation solutions is given and by using this result the initial value problem of first order ordinary differential equations is discussed. The results obtained here improve and extend recent results.

关 键 词：序BANACH空间 不连续非增Volterra型积分方程 迭代唯一解 一致收敛 常微分方程 误差估计式 初值问题 

分 类 号：O177.91[理学—数学] O175.5[理学—基础数学]