| 二阶非线性奇摄动微分方程的渐近解 |
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| 引用本文： | 尹剑,杜增吉.二阶非线性奇摄动微分方程的渐近解[J].应用数学与计算数学学报,2014(1):72-77. |
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| 作者姓名： | 尹剑 杜增吉 |
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| 作者单位： | 江苏师范大学数学与统计学院 |
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| 基金项目： | supported by the National Natural Science Foundations of China(11071205,11101349);the Natural Science Foundation of Jiangsu Province of China(BK2011042) |
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| 摘 要： | 研究了二阶非线性奇摄动微分方程的边值问题.利用匹配原则和微分不等式原理,得到一阶非线性问题的渐近解,进而得到二阶奇摄动问题的解的渐近估计.
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| 关 键 词： | 奇异摄动 渐近解 边界层 微分不等式 |
Asymptotic solution of second-order nonlinear singularly perturbed differential equation |
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| YIN Jian;DU Zeng-ji.Asymptotic solution of second-order nonlinear singularly perturbed differential equation[J].Communication on Applied Mathematics and Computation,2014(1):72-77. |
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| Authors: | YIN Jian;DU Zeng-ji |
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| Institution: | YIN Jian;DU Zeng-ji;School of Mathematics and Statistics,Jiangsu Normal University; |
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| Abstract: | The boundary value problem for a second-order nonlinear singularly perturbed differential equation is discussed.By using the methods of matching techniques and differential inequalities,the asymptotic solution to the first-order nonlinear problem is obtained.Then,the asymptotic estimate of the solution to the second-order nonlinear singularly perturbed problem is obtained. |
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| Keywords: | singular perturbation asymptotic solution boundary layer differential inequalities theory |
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