| Banach空间一类非线性算子方程的迭代求解及应用 |
| |
| 引用本文： | 张芳,王峰.Banach空间一类非线性算子方程的迭代求解及应用[J].数学的实践与认识,2010,40(8). |
| |
| 作者姓名： | 张芳 王峰 |
| |
| 作者单位： | 江苏工业学院数理学院,江苏常州,213164 |
| |
| 基金项目： | 国家自然科学基金(10971179) |
| |
| 摘 要： | 在不假定锥正规、再生和算子连续的条件下,利用锥理论和单调迭代方法证明了一类非线性算子方程x=A(x,x)解的存在性定理,并应用于Banach空间一阶微分方程的终值问题.
|
| 关 键 词： | 锥 算子方程 单调迭代方法 终值问题 |
Iterative Technique for a Class of Nonlinear Operator Equations in Banach Spaces and Applications |
| |
| ZHANG Fang,WANG Feng.Iterative Technique for a Class of Nonlinear Operator Equations in Banach Spaces and Applications[J].Mathematics in Practice and Theory,2010,40(8). |
| |
| Authors: | ZHANG Fang WANG Feng |
| |
| Institution: | ZHANG Fang,WANG Feng (School of Mathematics , Physics,Jiangsu Polytechnic University,Changzhou 213164,China) |
| |
| Abstract: | In this paper,we use the cone theory and monotone iterative technique to prove the existence theorems of solutions for a class of nonlinear operator equations without the assumption of continuity and generating normality of cone.The results obtained are applied to terminal value problems for differential equations on unbounded domains in Banach spaces. |
| |
| Keywords: | cone operator equations monotone iterative technique terminal value problems |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
