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Banach空间中一类混合型非线性微分-积分方程的最大最小解的存在性
Existence of Maximal and Minimal Solution for Nonlinear Integro-Differential Equations of Mixed Type in Banach Spaces
【摘要】 用单调迭代的方法和一些新的比较结果 ,研究了 Banach空间中一类混合型非线性微分 -积分方程的最大最小解 .我们用空间 E的弱完备性和锥 P的正规性 (这时可推出 P是正则的 )来代替紧性条件 .
【Abstract】 In this paper, by using of the monotone iterative method and some new comparison results, the existence of maximal and minimal solution for nonlinear integro differential equations of mixed type in Banach spaces are investigated. The main characteristic of our conclusions is that we use weakly sequentially complete condition of space E and P is normal to replace the compactness type condition.
【关键词】 混合型微分-积分方程;
单调迭代方法;
Banach空间;
【Key words】 integro differential equations of mixed type; monotone iterative technique; Banach spaces;
【Key words】 integro differential equations of mixed type; monotone iterative technique; Banach spaces;
- 【文献出处】 数学研究 ,Journal of Mathematical Study , 编辑部邮箱 ,2002年02期
- 【分类号】O175.28
- 【被引频次】1
- 【下载频次】32