| 混合单调算子方程解存在与唯一性定理及应用 |
| |
| 引用本文： | 柴国庆.混合单调算子方程解存在与唯一性定理及应用[J].数学杂志,1998,18(2):135-138. |
| |
| 作者姓名： | 柴国庆 |
| |
| 作者单位： | 湖北师范学院 |
| |
| 摘 要： | 本文在不假定算子具有紧性，连续性或对称压缩的条件下，研究了混合单调算子方程解的存在与唯一性。
|
| 关 键 词： | 混合单调算子 积分方程 算子方程 唯一性定理 |
ON THE EXISTENCE AND UNIQUENESS THEOREMS OF SOLUTIONS FOR MIXED MONOTONE OPERATOR EQUATIONS WITH APPLICATIONS |
| |
| Chai Guoqing.ON THE EXISTENCE AND UNIQUENESS THEOREMS OF SOLUTIONS FOR MIXED MONOTONE OPERATOR EQUATIONS WITH APPLICATIONS[J].Journal of Mathematics,1998,18(2):135-138. |
| |
| Authors: | Chai Guoqing |
| |
| Abstract: | In this paper, we study the existence and uniqueness of solution for mixed monotone operator equation without the assumption of compactness and continuity or symmetric contraction, and obtain the new results. As a application, the author investigate the nonlinear integral equation arising in nuclear physics, and improve the known corresponding results |
| |
| Keywords: | cone mixed monotone operator nonlinear integral equation |
| 本文献已被 CNKI 维普 等数据库收录！ |
