| 带紧扰动的极大单调算子的广义度理论及其应用 |
| |
| 引用本文： | 周海云. 带紧扰动的极大单调算子的广义度理论及其应用[J]. 系统科学与数学, 1998, 18(2): 253-256 |
| |
| 作者姓名： | 周海云 |
| |
| 作者单位： | 军械工程学院基础部!石家庄，050003 |
| |
| 摘 要： | 本文借助于Lerar－Schauder度理论构造了带紧扰动的极大单调算子的广义度，扩展了李树杰与冯德兴相应的结果．运用新的度理论给出了某些算子方程可解性的简单证明．
|
| 关 键 词： | 极大单调算子 紧扰动 广义度 Leray－Schauder度 |
THE GENERALIZED DEGREE FOR COMPACT PERTURBATIONS OF MAXIMAL MONOTONE OPERATORS AND APPLICATIONS |
| |
| Zhou Haiyun. THE GENERALIZED DEGREE FOR COMPACT PERTURBATIONS OF MAXIMAL MONOTONE OPERATORS AND APPLICATIONS[J]. Journal of Systems Science and Mathematical Sciences, 1998, 18(2): 253-256 |
| |
| Authors: | Zhou Haiyun |
| |
| Affiliation: | (Department of Basic Science Ordnance Engineering College, Shijiazhuang 050003) |
| |
| Abstract: | in the present paper, by virtue of the Leray-Schauder degree theory, we construct the generalized degree for compact perturbations of maximal monotone Operstors. Theresult eXtends the corresponding ones of Li Shujie and Feng Dexing. As applicstions of thegeneralized degree, simpler proofs are now given for some known results. |
| |
| Keywords: | Maximal monotone operator compact perturbation generalized degree Leray-Schauder degree |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《系统科学与数学》浏览原始摘要信息 |
|
点击此处可从《系统科学与数学》下载全文 |
