算子方程耦合解的存在性
The Existence of Coupled Solutions of Abstract Operator Equations
吴德宇1
作者信息
- 1. 郑州科技学院基础部,河南 郑州 450064
- 折叠
摘要
研究抽象的算子方程组的耦合解的存在性.主要是运用算子单调迭代方法,得到所需要的良序集,即文中的良序链,然后得到抽象算子方程组的耦合解和极大极小耦合解的存在性定理.
Abstract
In this paper,we study the existence of coupled solutions of abstract operator equations.Through monotone iterative method,we obtain the needed well-ordered set which is well-ordered chain.Then we obtain the existence theorems of coupled solutions and extremal coupled solutions of abstract operator equations.
关键词
耦合不动点/极大极小耦合不动点/耦合解/极大极小耦合解Key words
coupled fixed point/extremal coupled fixed point/coupled solution/extremal coupled solution引用本文复制引用
出版年
2024
NETL
NSTL
万方数据