| Banach空间一阶脉冲积分-微分方程及其应用 |
| |
| 引用本文： | 王信峰,顾英. Banach空间一阶脉冲积分-微分方程及其应用[J]. 北京联合大学学报(自然科学版), 2007, 21(4): 66-68 |
| |
| 作者姓名： | 王信峰 顾英 |
| |
| 作者单位： | 北京联合大学,基础部,北京,100101;北京联合大学,基础部,北京,100101 |
| |
| 摘 要： | 首先,考虑Banach空间一阶脉冲积分-微分方程,利用Mnch不动点定理和一个比较不等式,证明了其初值问题解的存在性。随后,将这一结果应用于右端项含有导数的二阶脉冲积分-微分方程,获得了其解存在性的一个新结果。
|
| 关 键 词： | 初值问题 脉冲积分-微分方程 Banach空间 不动点 |
| 文章编号： | 1005-0310（2007）04-0066-03 |
| 收稿时间： | 2007-09-10 |
| 修稿时间： | 2007-09-10 |
One-order Impulsive Integro-differential Equation in Banach Spaces and Its Applications |
| |
| WANG Xin-feng,Gu Ying. One-order Impulsive Integro-differential Equation in Banach Spaces and Its Applications[J]. Journal of Beijing Union University, 2007, 21(4): 66-68 |
| |
| Authors: | WANG Xin-feng Gu Ying |
| |
| Abstract: | First,by the fixed point theorem and an inequality,the first order impulsive integro-differential equation in Banach spaces is considered and the existence of its solutions is obtained.The application of it to the second order impulsive integro-differential equation with a derivative in its right item in Banach spaces comes to a new conclusion about the existence of solutions of the problem. |
| |
| Keywords: | initial value problem impulsive integro-differential equations Banach space fixed point |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
