| 非局部条件下的脉冲中立型泛函微分方程 |
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| 引用本文： | 常娟,薛星美.非局部条件下的脉冲中立型泛函微分方程[J].应用泛函分析学报,2008,10(3):211-218. |
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| 作者姓名： | 常娟 薛星美 |
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| 作者单位： | 1. 郑州航空工业管理学院数理系,河南,郑州,450015
2. 东南大学数学系,江苏,南京,210096 |
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| 基金项目： | Youth Natural Science Foundation of Zhengzhou Institute of Aeronautical Industry Management under Grant（Q06G063） |
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| 摘 要： | 利用Sadovskii不动点定理研究了一类脉冲中立型泛函微分方程，证明了适度解的存在性．最后，给出了上述问题在偏微分方程方面的一个应用．
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| 关 键 词： | 非局部条件 等度连续 不动点 可分Banach空间 脉冲 适度解 |
Impulsive Neutral Functional Differential Equations with Nonlocal Conditions |
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| CHANG Juan,XUE Xing-mei.Impulsive Neutral Functional Differential Equations with Nonlocal Conditions[J].Acta Analysis Functionalis Applicata,2008,10(3):211-218. |
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| Authors: | CHANG Juan XUE Xing-mei |
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| Institution: | CHANG Juan, XUE Xing-mei(1. Department of Mathematics and Physics, Zhengzhou Institute of Aeronautical Industry Management, Zhengzhou 450015, China;2. Department of Mathematics, Southeast University, Nanjing 210096, China) |
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| Abstract: | We consider an impulsive neutral functional differential equation with nonlocal conditions. By using the Sadovskii's fixed-point theorem we prove the existence of the mild solution. At last, an application of this problem in partial differential equation is also discussed. |
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| Keywords: | nonlocal conditions equicontinuous fixed-point separable Banach space impulsive mild solution |
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