| MULTIPLE LAYER BEHAVIOR OF BOUNDARY VALUE PROBLEM FOR SINGULARLY PERTURBED n-TH ORDER NONLINEAR DIFFERENTIAL EQUATION |
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| 作者单位： | Dept.of Math.and Physics，Hefei University，Hefei 230022 |
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| 摘 要： | In this paper,we study the singular perturbation of boundary value problem for a class of n-th order nonlinear differential equation,the solution is shown to exhibit multiple layer behavior.According to different layers and by introducing extended variable,we obtain the uniformly effective asymptotic expansion with different boundary layer correction term.
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| 关 键 词： | 奇异摄动 非线性微分方程 边值问题 多边界层 |
MULTIPLE LAYER BEHAVIOR OF BOUNDARY VALUE PROBLEM FOR SINGULARLY PERTURBED n-TH ORDER NONLINEAR DIFFERENTIAL EQUATION |
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| Authors: | Chen Xiu |
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| Institution: | Dept. of Math. and Physics, Hefei University, Hefei 230022 |
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| Abstract: | In this paper,we study the singular perturbation of boundary value problem for a class of n-th order nonlinear differential equation,the solution is shown to exhibit multiple layer behavior.According to different layers and by introducing extended variable,we obtain the uniformly effective asymptotic expansion with different boundary layer correction term. |
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| Keywords: | singular perturbation multiple boundary layer asymptotic expansion |
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