| 双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： | 郭志荣.双扰动型无穷时滞微分方程适度解的存在性[J].中国科技纵横,2011(4):348-349. |
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| 作者姓名： | 郭志荣 |
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| 作者单位： | 扬州职业大学数学系,江苏扬州225009 |
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| 摘 要： | 本文主要研究实Banach空间中一类双扰动的无穷时滞微分方程．通过综合利用Hausdorff非紧性测度理论、线性算子半群理论和不动点理论，我们给出了当相关半群失去紧性时，一个扰动函数满足Lipschitz条件，另一个扰动函数满足与非紧测度有关的条件等较弱的条件下，Banach空间中双扰动的无穷时滞微分方程的适度解存在的充分条件．
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| 关 键 词： | Hausdorff 非紧测度 线性算子半群 |
Existence of Mild Solutions for Double Perturbed Differential Equations with Infinite Delay |
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| Authors: | guozhi rong |
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| Institution: | guozhi rong (yangzhou polytechnic college,yangzhou 225009,china) |
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| Abstract: | This dissertation is devoted to study a class of double perturbed differential equations with infinite delay in Banach spaces. By using the theory of Hausdorff measure of non-compactness, semi-groups of linear operators and fixed point theorem, the existence of mild solutions to such equations is obtained under some relatively weak conditions, such as the relative semi-groups are not compact, one of the perturbations is Lipschitzian and the other satisfies the condition involving measure of non-compactness. |
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| Keywords: | Hausdorff＇ s measure of noncompactness semi-group of linear operators differential equations with infinite delay mild solution |
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