Banach空间非线性二阶微分积分方程初值问题的单调迭代方法

陈芳启; 陈予恕

Banach空间非线性二阶微分积分方程初值问题的单调迭代方法

天津大学力学系, 天津 300072

基金项目: 国家自然科学基金资助(19672043);国家教委博士点专项基金资助

详细信息

作者简介:
陈芳启(1963~ ),博士,现从事博士后工作,已发表论文30余篇.

中图分类号: O177.91
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- 被引次数: 0
出版历程
- 收稿日期: 1999-01-23
- 修回日期: 1999-10-18
- 刊出日期: 2000-05-15

On Monotone Iterative Method for Initial Value Problems of Nonlinear Second Order Integrodifferential Equations in Banach Spaces

Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China

摘要

摘要: 利用单调迭代方法及Mnch不动点定理,研究了Banach空间中混合单调二阶微分积分方程初值问题的耦合最小最大拟解及解的存在性,给出了耦合最小最大拟解及解的存在定理.
- 微分积分方程 /
- Kuratowski非紧性测度 /
- 耦合下上拟解 /
- 单调迭代方法
Abstract: Using the monot one iterative method and M? nch fixed point theorem, the existence of solutions and coupled minimal and maximal quasisolutions of initial value problems for mixed monotone second order integrodifferential equations in Banach spaces were studied. Some existence theorems of solutions and coupled minimal and maximal quasisolutions are obtained.
- integrodifferential equations /
- Kuratowski measure of noncompactness /
- coupled lower and upper quasisolutions /
- monotone iterative method

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参考文献(13)

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