Banach空间二阶常微分方程两点边值问题迭代求解  

Interative Technique for Two-point Boundary Value Problems of Second Order Ordinary Differential Equations in Banach Spaces

作　　者：宋光兴[1] 

机构地区：[1]石油大学应用数学系,山东东营257062

出　　处：《应用数学》2000年第2期9-13,共5页Mathematica Applicata

摘　　要：本文利用一些新的微分和积分不等式研究 Banach空间中二阶常微分方程两点边值问题解的存在唯一性 。In this paper, by use of some new differential and integral inequalities, the unique solution and approximation of the two point boundary value problem for second order ordinary differential equations in Banach spaces are investigated.

关 键 词：单调迭代 巴拿赫空间 常微分方程 两点边值问题 

分 类 号：O241.81[理学—计算数学] O175.15[理学—数学]