抽象锥中积分—微分方程的单调迭代方法  

Monotonic Iteration of Integral-differential Equation in Abstract Cone

作　　者：李信明[1] 

机构地区：[1]潍坊学院,山东潍坊261061

出　　处：《潍坊学院学报》2007年第6期111-114,124,共5页Journal of Weifang University

摘　　要：本文考虑Banach空间中积分-微分方程的周期边值问题,利用抽象锥、推广了的比较定理及非线性算子的不动点定理,构造出两个单调迭代序列,证明了Banach空间中积分-微分方程具有周期边值的最小解最大解存在定理。By using the concept of abstract cone ,improved comparable theorem and fixed point theorem of non- linear operator and by discussing the periodic boundary condition of integral - differential equation in Banach spaces , this paper gave two monotonic iterative sequences also verified the minimum and maximum theorem for integral -differential equation with periodic boundary condition in Banach spaces.

关 键 词：积分方程 微分方程 不动点 锥 

分 类 号：O175.6[理学—数学]