| Banach空间二阶非线性常微分方程两点边值问题解的存在性及其迭代求法 |
| |
| 引用本文： | 陆海霞.Banach空间二阶非线性常微分方程两点边值问题解的存在性及其迭代求法[J].松辽学刊,2010,31(1):30-33. |
| |
| 作者姓名： | 陆海霞 |
| |
| 作者单位： | 宿迁学院教育系,江苏宿迁223800 |
| |
| 基金项目： | 国家自然科学基金资助项目，宿迁学院科研基金资助项目 |
| |
| 摘 要： | 在Banach空间中利用增算子不动点的迭代求法定理，研究了含间断项的二阶非线性常微分方程两点边值问题解的存在性及其迭代求法．
|
| 关 键 词： | 增算子 不动点 上下解 单调迭代方法 |
The Existence of Solutions and Iterative Technique of Two-point Boundary Value Problem for Second-order Nonlinear Ordinary Differential Equation in Banach Spaces |
| |
| LU Hai-xia.The Existence of Solutions and Iterative Technique of Two-point Boundary Value Problem for Second-order Nonlinear Ordinary Differential Equation in Banach Spaces[J].Songliao Journal (Natural Science Edition),2010,31(1):30-33. |
| |
| Authors: | LU Hai-xia |
| |
| Institution: | LU Hai-xia(Education Department,Suqian College,Suqian 223800,China) |
| |
| Abstract: | By a theorem of fixed point and iterative technique for increasing operators in this paper,the existence of solutions and technique of the two-point boundary value problem for nonlinear ordinary differential equation with discontinous terms in Banach Spaces are obtained. |
| |
| Keywords: | increasing operator fixed point up-lower solutions monotone iterative technique |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
