| 一类非线性方程组的奇摄动初值问题 |
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| 引用本文： | 欧阳成.一类非线性方程组的奇摄动初值问题[J].吉林大学学报(理学版),2009,47(3):515-518. |
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| 作者姓名： | 欧阳成 |
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| 作者单位： | 湖州师范学院 数学系, 浙江 湖州 313000 |
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| 摘 要： | 研究一类非线性方程组的奇摄动初值问题, 先把相应的解展开成小参数ε的幂级数形式, 再利用初始层校正法, 依次构造外部解和初始层校正项的近似式, 得到了该问题的一致有效的渐近解及其渐近性态.
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| 关 键 词： | 非线性方程组 奇摄动 初值问题 渐近解 初始层 |
| 收稿时间： | 2008-06-18 |
Singularly Perturbed Initial Value Problem for a Class of System of Nonlinear Equations |
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| OUYANG Cheng.Singularly Perturbed Initial Value Problem for a Class of System of Nonlinear Equations[J].Journal of Jilin University: Sci Ed,2009,47(3):515-518. |
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| Authors: | OUYANG Cheng |
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| Institution: | Department of Mathematics, Huzhou Teachers College, Huzhou 313000, Zhejiang Province, China |
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| Abstract: | The authors studied singularly perturbed initial value problem for a class of system of nonlinear equations. According to the problem, the corresponding solution is expanded as the series form with small parameterε. With the aid of the
corrective method of initial layer, the approximate of outer solution and corre
ctive terms of initial layer are constructed successively. Uniformly valid asymptotic solutions of the problemand their asymptotic behavior are obtained. |
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| Keywords: | system of nonlinear equations singular perturbation initial value problem asymptotic solution initial layer |
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