| 单调迭代法与一阶脉冲泛函微分方程周期边值问题 |
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| 引用本文： | 何智敏,葛渭高.单调迭代法与一阶脉冲泛函微分方程周期边值问题[J].数学学报,2005,48(1):171-176. |
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| 作者姓名： | 何智敏 葛渭高 |
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| 作者单位： | [1]中南大学数学科学与计算技术学院，长沙410083 [2]北京理工大学应用数学系，北京100081 |
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| 摘 要： | 本文利用单调迭代法与上下解方法,研究了一阶脉冲泛函做分方程周期边值问题最大解与最小解的存在性.
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| 关 键 词： | 脉冲泛函微分方程 周期边值问题 单调迭代法 |
Monotone Iterative Technique and Periodic Boundary Value Problem for First Order Impulsive Functional Differential Equations |
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| Zhi Min HESchool of Mathematical Science and Computing Technology,Central South University,Changsha ,P. R. ChinaWei Gao GE.Monotone Iterative Technique and Periodic Boundary Value Problem for First Order Impulsive Functional Differential Equations[J].Acta Mathematica Sinica,2005,48(1):171-176. |
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| Authors: | Zhi Min HESchool of Mathematical Science and Computing Technology Central South University Changsha P R ChinaWei Gao GE |
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| Institution: | Zhi Min HESchool of Mathematical Science and Computing Technology, Central South University, Changsha 410083, P. R. ChinaWei Gao GE Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, P. R. China |
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| Abstract: | This paper uses the method of upper and lower solutions and the monotone iterative technique to investigate the existence of maximal and minimal solutions of the periodic boundary value problem for first order impulsive functional differential equations. |
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| Keywords: | Impulsive functional differential equation Periodic boundary value problem Monotone iterative technique |
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