| 带非紧测度的Banach空间中半线性非局部微分方程 |
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| 引用本文： | 薛星美.带非紧测度的Banach空间中半线性非局部微分方程[J].南京大学学报(自然科学版),2007,24(2):264-276. |
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| 作者姓名： | 薛星美 |
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| 作者单位： | 东南大学数学系 南京210096 |
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| 摘 要： | 本文讨论了可分 Banach 空间中具有非局部初值条件的半线性微分方程在 Hausdorff 非紧测度条件下广义解的存在性.
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| 关 键 词： | 非局部初值条件 等度连续 C0- 半群 Hausdorff 非紧测度 广义解 |
| 修稿时间： | 2007年5月1日 |
SEMILINEAR NONLOCAL DIFFERENTIAL EQUATIONS WITH MEASURE OF NONCOMPACTNESS IN BANACH SPACES |
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| Xue Xingmei.SEMILINEAR NONLOCAL DIFFERENTIAL EQUATIONS WITH MEASURE OF NONCOMPACTNESS IN BANACH SPACES[J].Journal of Nanjing University: Nat Sci Ed,2007,24(2):264-276. |
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| Authors: | Xue Xingmei |
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| Abstract: | In this paper we study the existence of mild solutions for semilinear differ- ential equations with nonlocal initial conditions in separable Banach spaces.We derive conditions in respect of the Hausdorff measure of noncompactness under which the mild solutions exit. |
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| Keywords: | nonlocal initial condition equicontinuous C0-semigroup Hausdorff mea-sure of noncompactness mild solution |
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