| 一类奇摄动三阶非线性方程边值问题 |
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| 引用本文： | 吴钦宽.一类奇摄动三阶非线性方程边值问题[J].兰州理工大学学报,2003,29(4):125-128. |
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| 作者姓名： | 吴钦宽 |
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| 作者单位： | 南京工程学院,基础部,江苏,南京,210013 |
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| 摘 要： | 以变换未知函数的方式对一类具有转向点的三阶非线性方程奇摄动边值问题证明解的存在性,并给出了解的一致有效渐进估计.
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| 关 键 词： | 奇摄动 转向点 三阶微分方程 非线性边值问题 解的渐近估计 |
| 文章编号： | 1000-5889(2003)04-0125-04 |
| 修稿时间： | 2003年2月16日 |
A class of boundary-value problem with singular perturbation for third-order nonlinear equations |
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| WU Qin-kuan.A class of boundary-value problem with singular perturbation for third-order nonlinear equations[J].Journal of Lanzhou University of Technology,2003,29(4):125-128. |
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| Authors: | WU Qin-kuan |
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| Abstract: | The existence of solution to a class of singularly perturbed nonlinear boundary-value problems with turning points for third-order nonlinear equations is proved by means of unknown function transformation, so that the uniformly valid asymptotic estimation of solution is given. |
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| Keywords: | singular perturbation turning point third-order differential equation nonlinear boundary-value problem asymptotic estimation of solution |
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