| 二阶非线性积-微分方程的初值问题的上下解方法 |
| |
| 引用本文： | 王建国. 二阶非线性积-微分方程的初值问题的上下解方法[J]. 数学物理学报(A辑), 1999, 0(Z1) |
| |
| 作者姓名： | 王建国 |
| |
| 作者单位： | 山东省教育学院数理系!济南 250013 |
| |
| 摘 要： | 建立了无限区间上二阶积－微分方程的比较定理，用上下解方法证明了无限区间上的Ｂａ－ｎａｃｈ空间二阶非线性积－微分方程的初值问题的解的存在性．
|
| 关 键 词： | Banach空间 积-微分方程 上下解方法 非紧性测度 锥 |
Lower-Upper Solution Method for Initial Value Problems of Second Order Abstract Integro-Differential Equations on Infinite Intervals |
| |
| wang Jianguo. Lower-Upper Solution Method for Initial Value Problems of Second Order Abstract Integro-Differential Equations on Infinite Intervals[J]. Acta Mathematica Scientia, 1999, 0(Z1) |
| |
| Authors: | wang Jianguo |
| |
| Abstract: | Established the comparison theorem of integro-differential equations on infinite intervals, and by applying the lower-upper solution method, proved the existence of extreme solutions for nonlinear second order integro-differential equations in infinite intervals in Banach spaces. |
| |
| Keywords: | Banach space Integro-differential equation Lower-upper solution Kuratowskii measure of noncompactness cone. |
| 本文献已被 CNKI 等数据库收录！ |
