| 一类非线性二元算子方程解的存在唯一性及其应用 |
| |
| 引用本文： | 许绍元,曾超益.一类非线性二元算子方程解的存在唯一性及其应用[J].淮北煤炭师范学院学报(自然科学版),2000(2). |
| |
| 作者姓名： | 许绍元 曾超益 |
| |
| 作者单位： | 淮北煤炭师范学院数学系!淮北235000(许绍元)，韩山师范学院数学系!潮州521041(曾超益) |
| |
| 摘 要： | 本文引入序Lipschitz条件 ,无需考虑算子的紧性 ,连续性或凹凸性 ,利用锥理论和单调迭代技巧 ,得到了方程A(x ,x) =x解的存在唯一性 .将所获得的结果应用于无界域上Hammerstein非线性积分方程 ,得到了新的结论 .
|
| 关 键 词： | 锥 算子方程 混合单调算子 序Lipschitz条件 |
On the Existence and Uniqueness of Solutions for a class of Nonlinear Operator Equations and Applications |
| |
| XU Shao yuan,ZENG Chao yi.On the Existence and Uniqueness of Solutions for a class of Nonlinear Operator Equations and Applications[J].Journal of Huaibei Coal Industry Teachers College(Natural Science edition),2000(2). |
| |
| Authors: | XU Shao yuan ZENG Chao yi |
| |
| Institution: | XU Shao yuan 1 ZENG Chao yi 2 |
| |
| Abstract: | In this paper,the nonlinear operator equation A(x,x)=x is discussed.Using the cone theory and mixed monotone operator theory,an existence and uniqueness theorem of solutions of the above equation is obtained.The results one applied to Hammerstein integral equations on RN,moreover,some new conclusions are given. |
| |
| Keywords: | cone operator equation mixed monotone operator order Lipschitz condition |
| 本文献已被 CNKI 等数据库收录！ |
