| Banach空间中二阶脉冲积分-微分方程解的存在性 |
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| 引用本文： | 朱江,李倞.Banach空间中二阶脉冲积分-微分方程解的存在性[J].江南大学学报(自然科学版),2004,3(3):314-316. |
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| 作者姓名： | 朱江 李倞 |
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| 作者单位： | 1. 徐州师范大学数学系,徐州,221116
2. 北京大学,数学科学学院,北京,100080 |
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| 基金项目： | 江苏省教育厅自然科学资金项目(02KJB110005)资助课题. |
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| 摘 要： | 利用一个非线性压缩型不动点定理，讨论了Banach空间中二阶非线性脉冲积分一微分方程解的存在性，改进和推广了Guo Dajun，Sun Jinli和Ma Yihai的工作，并且仅需要压缩条件，去掉了Sun Jinli和Ma Yihai的工作中使用的单调性条件．
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| 关 键 词： | 不动点定理 脉冲积分一微分方程 压缩条件 Banach空问 |
| 文章编号： | 1671-7147(2004)03-0314-03 |
Existence of the Solutions for the Second Order Impulsive Integro-Differential Equations in Banach Space |
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| ZHU Jiang,LI Jing.Existence of the Solutions for the Second Order Impulsive Integro-Differential Equations in Banach Space[J].Journal of Southern Yangtze University:Natural Science Edition,2004,3(3):314-316. |
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| Authors: | ZHU Jiang LI Jing |
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| Institution: | ZHU Jiang~1,LI Jing~2 |
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| Abstract: | The paper studys the existence of the solutions for second order impulsive integro-differential equations in Banach space by using fixed point theorems. The results improve the some results obtained by Dajun Guo, Jinli Sun and Yihai Ma. Besides,the results greatly simplify the proof of Jinli Sun and Yihai Ma. Based on our results, there is only need for the contraction conditions, but no need for any monotone condition used by Jinli Sun and Yihai Ma. |
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| Keywords: | Banach space impulsive integro-differential equation intial value problem noncompactness measure |
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