| 扰动型无穷时滞微分方程适度解的存在性 |
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| 引用本文： | 张学茂,董琪翔,李刚.扰动型无穷时滞微分方程适度解的存在性[J].内蒙古师范大学学报(自然科学版),2009,38(2). |
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| 作者姓名： | 张学茂 董琪翔 李刚 |
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| 作者单位： | 张学茂,ZHANG Xue-mao(泰州师范高等专科学校,数理系,江苏,泰州,225300;扬州大学,数学科学学院,江苏,扬州,225002);董琪翔,李刚,DONG Qi-xiang,LI Gang(扬州大学,数学科学学院,江苏,扬州,225002)
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| 摘 要： | 利用相空间的方法,结合Hausdorff非紧性测度、强连续半群和Darbo不动点理论,研究相关半群在失去紧性的情况下,Banach空间中扰动型无穷时滞微分方程适度解的存在性,改进和推广了已有的一些结果.
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| 关 键 词： | Hausdorff非紧测度 相空间 适度解 强连续半群 扰动型无穷时滞微分方程 |
Existence of Mild Solutions for Perturbed Infinite Delay Differential Equations |
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| ZHANG Xue-mao,DONG Qi-xiang,LI Gang.Existence of Mild Solutions for Perturbed Infinite Delay Differential Equations[J].Journal of Inner Mongolia Normal University(Natural Science Edition),2009,38(2). |
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| Authors: | ZHANG Xue-mao DONG Qi-xiang LI Gang |
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| Institution: | 1.Department of Mathematics;Taizhou Normal College;Taizhou 225300;Jiangsu;China;2.School of Mathematical Science;Yangzhou University;Yangzhou 225002;China |
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| Abstract: | The purpose of this paper is to prove the existence of mild solutions for perturbed infinite delay differential equations in Banach space by using the phase-space method,the Hausdorff's measure of noncompactness,the strongly continuous semigroup and the Darbo fixed point theory.Neither the semigroup nor the function f is needed to be compact in our result. |
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| Keywords: | Hausdorff's measure of noncompactness phase space mild solution strongly continuous semigroup perturbed infinite delay differential equations |
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