| 基于Banach空间的中立型无穷时滞微分方程 |
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| 引用本文： | 张学茂,董琪翔,李刚.基于Banach空间的中立型无穷时滞微分方程[J].云南民族大学学报(自然科学版),2010,19(5). |
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| 作者姓名： | 张学茂 董琪翔 李刚 |
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| 作者单位： | 1. 泰州师范高等专科学校,数理系,江苏,泰州,225300
2. 扬州大学,数学科学学院,江苏,扬州,225002 |
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| 摘 要： | 利用Hausdorff非紧测度、分数幂算子和Darbo不动点理论,在半群失去紧性等较弱条件下,研究了基于Banach空间的一类中立型无穷时滞微分方程适度解的存在性,改进和推广了一些已知的结果.
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| 关 键 词： | Hausdorff非紧测度 适度解 分数幂算子 中立型微分方程 时滞微分方程 |
Neutral Differential Equations with Infinite Delay in Banach Spaces |
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| ZHANG Xue-mao,DONG Qi-xiang,LI Gang.Neutral Differential Equations with Infinite Delay in Banach Spaces[J].Journal of Yunnan Nationalities University:Natural Sciences Edition,2010,19(5). |
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| Authors: | ZHANG Xue-mao DONG Qi-xiang LI Gang |
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| Institution: | ZHANG Xue-mao1,DONG Qi-xiang2,LI Gang2(1.Department of Mathematics and Physics,Taizhou Normal College,Taizhou 225300,China,2.School of Mathematical Science,Yangzhou University,Yangzhou 225002,China) |
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| Abstract: | This paper studies neutral differential equations with infinite delay in Banach spaces.The existence of mild solutions to such equations is obtained by using the theory of Hausdorff measure of noncompactness,Fractional power operator and fixed point theorem,without the compactness assumption on associated semigroups,which can improve and generalize some previous results. |
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| Keywords: | Hausdorff measure of noncompactness mild solutions Fractional power operator neutral differential equations differential equation with delay |
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