| Banach空间中脉冲积分-微分方程的迭代解 |
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| 引用本文： | 王信峰.Banach空间中脉冲积分-微分方程的迭代解[J].应用数学,2007,20(2):239-242. |
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| 作者姓名： | 王信峰 |
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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： | 利用单调迭代技术,本文首先讨论了Banach空间一阶脉冲积分-微分方程初值问题最大解与最小解的存在性.在此基础上,讨论了右端项中带有一阶导数的二阶脉冲积分-微分方程初值问题最大解与最小解的存在性.最后的例子说明对导数的限制条件是可验证的.
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| 关 键 词： | 初值问题 脉冲积分-微分方程 序Banach空间 最大解 最小解 |
| 文章编号： | 1001-9847(2007)02-0239-04 |
| 修稿时间： | 2006-04-19 |
The Iterative Solutions of Impulsive Integro-differential Equations in Banach Spaces |
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| WANG Xin-feng.The Iterative Solutions of Impulsive Integro-differential Equations in Banach Spaces[J].Mathematica Applicata,2007,20(2):239-242. |
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| Authors: | WANG Xin-feng |
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| Institution: | Basic Course Department of Beijing Union University, Beijing 100101,China |
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| Abstract: | By using the monotone iterative technique,the existence of maximal and minimal solutions of initial value problems for one-order impulsive integro-differential equations in Banach spaces is firstly investigated in this paper,and based on the results,the existence of maximal and minimal solutions of initial value problems for two-order impulsive integro-differential equations with a derivative in Banach spaces is discussed.The instance implied that the conditions depending on derivative is feasible. |
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| Keywords: | Initial value problem Impulsive integro-differential equation Ordered Banach space Maximal solution Minimal solution |
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