| Banach空间一阶脉冲积分-微分方程及其应用 |
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| 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. |
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| 作者姓名： | 王信峰 顾英 |
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| 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 |
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| 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。
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| 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年9月10日 |
One-order Impulsive Integro-differential Equation in Banach Spaces and Its Applications |
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| 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. |
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| Authors: | WANG Xin-feng Gu Ying |
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| 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. |
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| Keywords: | initial value problem impulsive integro-differential equations Banach space fixed point |
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