| 一些非线性算子半群的生成元存在性 |
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| 引用本文： | 韦玉程.一些非线性算子半群的生成元存在性[J].河池师专学报,2009(5):1-5. |
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| 作者姓名： | 韦玉程 |
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| 作者单位： | 河池学院数学系,广西宜州546300 |
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| 基金项目： | 广西教育厅自然科学研究资助项目（2（DT07IX324）,河池学院科研基金资助项目（2006B-N001）. |
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| 摘 要： | 首先给出非线性Lipschitz-α算子半群的生成元存在性的结果;然后介绍在Lipschitz对偶的思想下的非线性Lipschitz算子半群生成元的存在性.
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| 关 键 词： | 非线性Lipschitz-α算子半群 非线性Lipschitz算子半群 生成元 |
On Existence of Generation Element of Nonlinear Semigroups |
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| WEI Yu-cheng.On Existence of Generation Element of Nonlinear Semigroups[J].Journal of Hechi Normal College,2009(5):1-5. |
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| Authors: | WEI Yu-cheng |
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| Institution: | WEI Yu-cheng (Department of Mathematics, Hechi University, Yizhou, Guangxi 546300, China) |
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| Abstract: | This paper deals with the existence of generation element of nonlinear semigroups.First,the theorem of the generation of the nonlinear semigroup of Lipschitz-α operator is established.Second,by developing a series of novel dual notions of Banach space and Lipschitz operator,a series of novel representation formulas for nonlinear semigroup are presented. |
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| Keywords: | nonlinear semigroup of Lipschitz-α operator nonlinear semigroup of Lipschitz operato generation element |
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