| 关于两参数常微分方程非线性边值问题的奇异摄动 |
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| 引用本文： | 杨志荣,徐振源.关于两参数常微分方程非线性边值问题的奇异摄动[J].数学进展,1994,23(2):166-178. |
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| 作者姓名： | 杨志荣 徐振源 |
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| 作者单位： | 无锡轻工业学院 |
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| 摘 要： | 本文应用改进的多重尺度法及特殊的对多参数问题的讨论方法，考察含两个小参数的常微分方程的非线性边值问题，证明了解的存在性，作出了渐近解，并应用较简单的方法估计了余项。
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| 关 键 词： | 常微分方程 奇摄动 边值问题 |
The Singular Perturbation of the Nonlinear Boundary Value Problems of the Ordinary Differential Equations with Two Parameters |
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| Yang Zhirong,Xu Zhenyuan.The Singular Perturbation of the Nonlinear Boundary Value Problems of the Ordinary Differential Equations with Two Parameters[J].Advances in Mathematics,1994,23(2):166-178. |
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| Authors: | Yang Zhirong Xu Zhenyuan |
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| Abstract: | In this paper the generalized method of multiple-scale and the special method of discussing the problems of multiparameters are used to study the singular perturbation of the nonlinear boundary value problems of the ordinary differential equations with two parameters,the existence of solutions is proved and asyInptotic solutions of these problems are found,by using a simpler lnethod the remainder term is also estimated. |
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| Keywords: | singular perturbation boundary value problem asymptotic solutions multiple-scale |
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