| Banach空间中非线性混合型脉冲积分-微分方程初值问题的解 |
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| 引用本文： | 田瑞兰,张琪昌.Banach空间中非线性混合型脉冲积分-微分方程初值问题的解[J].工程数学学报,2007,24(3):431-436. |
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| 作者姓名： | 田瑞兰 张琪昌 |
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| 作者单位： | 天津大学力学系,天津,300072 |
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| 摘 要： | 研究了Banach空间中非线性脉冲积分-微分方程初值问题解的存在性。在比较宽松的紧性条件下,利用Mnch不动点定理,通过引进等价范数,递归法和拟幂零算子,建立了新的存在性定理,推广和改进了于立新和刘立山在2003所建立的相关结果。
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| 关 键 词： | 脉冲积分-微分方程 初值问题 不动点 非紧性测度 递归法 |
| 文章编号： | 1005-3085(2007)03-0431-06 |
| 修稿时间： | 2004-10-27 |
The Solutions of Initial Value Problems for Nonlinear Impulsive Integro-Differential Equations in Banach Space |
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| TIAN Rui-lan,ZHANG Qi-chang.The Solutions of Initial Value Problems for Nonlinear Impulsive Integro-Differential Equations in Banach Space[J].Chinese Journal of Engineering Mathematics,2007,24(3):431-436. |
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| Authors: | TIAN Rui-lan ZHANG Qi-chang |
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| Affiliation: | Department of Mechanics, Tianjin University, Tianjin 300072 |
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| Abstract: | The existence of solutions for initial value problems of impulsive integro-differential equa- tion in Banach spaces is studied. By using the Mhnch fixed point theorem, the equivalent norm~ the recurrence method and the quasi-nilpotent operator, new existence theorems are obtained under a weaker compactness-type condition, which generalize and improve some related results that Yu and Liu established in 2003. |
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| Keywords: | impulsive integro-differential equation initial value problem fixed point measure of noncompactness recurrence method |
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