| 一类窄带随机激励下的非线性问题的同伦解法 |
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| 引用本文： | 唐荣荣.一类窄带随机激励下的非线性问题的同伦解法[J].应用数学,2006,19(1):106-109. |
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| 作者姓名： | 唐荣荣 |
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| 作者单位： | 湖州师范学院理学院,浙江,湖州,313000;上海高校计算科学E-研究院,上海,200240 |
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| 基金项目： | 中国科学院资助项目;浙江省自然科学基金;上海市教委资助项目 |
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| 摘 要： | 利用同伦映射理论,研究了一类窄带随机激励下的非线性问题,在适当的条件下,较简捷地得到了问题解较高精度的估计式.
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| 关 键 词： | 非线性 同伦 随机激励 |
| 文章编号： | 1001-9847(2006)01-0106-04 |
| 收稿时间： | 2005-02-28 |
| 修稿时间： | 2005年2月28日 |
The Homotopic Solving Method for a Class of Nonlinear Problems in Narrow-band Random Excitation |
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| TANG Rong-rong.The Homotopic Solving Method for a Class of Nonlinear Problems in Narrow-band Random Excitation[J].Mathematica Applicata,2006,19(1):106-109. |
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| Authors: | TANG Rong-rong |
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| Institution: | 1. Faulty of Science, Huzhou Teachers College, Huzhou 313000, China; 2. Division of Computational Science ,E-Institute of Shanghai Universities, Shanghai 200240, China |
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| Abstract: | In this paper,using the method of homotopic mapping,a class of nonlinear problems for narrow-band random excitation are considered.Under appropriate conditions,the asymptotic expansion is obtained as well and higher precision. |
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| Keywords: | Nonlinear Homotopy Random excitation |
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