| SET VALUE MAPPING AND ITS APPLICATION |
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| 作者姓名： | 李挺 |
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| 作者单位： | Department of |
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| 摘 要： | The dynamics of set value mapping is considered. For the upper semi-continuous set value maps, the existence of attractors under some conditions and the upper semicontinuity of attractors under the perturbation are proved. Its application in numerical simulation of differential equation is also considered. The upper semi-continuity of attractors in set value maps under the perturbation is used to show the reasonable of subdivision algorithm and interval arithmetic in numerical simulation of differential equation.
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| 关 键 词： | 价值映射 吸引子 上连续性 动力学 数字模拟 微分方程 |
| 收稿时间： | 2004-09-10 |
| 修稿时间： | 2005-08-17 |
Set value mapping and its application |
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| Ting Li.SET VALUE MAPPING AND ITS APPLICATION[J].Applied Mathematics and Mechanics(English Edition),2006,27(2):263-268. |
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| Authors: | Ting Li |
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| Institution: | Department of Mathematics, Suzhou University, Suzhou 215006, Jiangsu Province, P. R. China |
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| Abstract: | The dynamics of set value mapping is considered. For the upper semi-continuous set value maps, the existence of attractors under some conditions and the upper semicontinuity of attractors under the perturbation are proved. Its application in numerical simulation of differential equation is also considered. The upper semi-continuity of attractors in set value maps under the perturbation is used to show the reasonable of subdivision algorithm and interval arithmetic in numerical simulation of differential equation. |
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| Keywords: | set value mapping attractor upper semi-continuity |
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