| Banach空间二阶带导脉冲积分-微分方程 |
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| 引用本文： | 王信峰,张立新.Banach空间二阶带导脉冲积分-微分方程[J].数学的实践与认识,2009,39(21). |
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| 作者姓名： | 王信峰 张立新 |
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| 作者单位： | 北京联合大学基础部,北京,100101 |
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| 摘 要： | 利用M onch不动点定理和一个比较不等式,证明了Banach空间中右端项带有导数的二阶积分-微分方程初值问题解的存在性,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 |
Second order Impulsive Integro-Differential Equations with a Derivative in Banach Spaces |
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| WANG Xin-feng,ZHANG Li-xin.Second order Impulsive Integro-Differential Equations with a Derivative in Banach Spaces[J].Mathematics in Practice and Theory,2009,39(21). |
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| Authors: | WANG Xin-feng ZHANG Li-xin |
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| Abstract: | By the M6nch fixed point theorem and an inequality, we investigate the existence of solutions of initial value problems for second order impulsive integro-differential equation with a derivative in its right item in Banach spaces, and obtain some new conclusions. |
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| Keywords: | impulsive integro-differential equation initial value problem Banach space fixed point |
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