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Banach空间积-微分方程两点边值问题
引用本文:宋光兴.Banach空间积-微分方程两点边值问题[J].数学学报,2000(3).
作者姓名:宋光兴
作者单位:石油大学应用数学系!山东东营257062
摘    要:本文利用一些新的微分和积分不等式研究了Banach空间中积-微分方程的 两点边值问题解的存在唯一性,给出了解的隐式迭代序列和误差估计式.

关 键 词:积-微分方程  单调迭代方法  微分和积分不等式

Two-Point Boundary Value Problems of Integro-Differential Equations in Banach Spaces
SONG Guang-xing.Two-Point Boundary Value Problems of Integro-Differential Equations in Banach Spaces[J].Acta Mathematica Sinica,2000(3).
Authors:SONG Guang-xing
Abstract:In this paper, by use of some new differential and integral inequalities, the unique solution and iterative approximation of the two-point boundary value problem for integro-differential equations in Banach spaces are investigated.
Keywords:Integro-differential equation  Monotone iterative technique  Differential and integral inequalities
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