| 奇摄动非线性边值问题 |
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| 引用本文： | 莫嘉琪. 奇摄动非线性边值问题[J]. 应用数学, 2004, 17(1): 37-41 |
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| 作者姓名： | 莫嘉琪 |
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| 作者单位： | 浙江湖州师范学院数学系,浙江,湖州,313000 |
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| 基金项目： | SupportedbytheNationalNaturalScienceFoundationofChina (1 0 0 71 0 4 8)，bythe”HundredTal entsProject”oftheChineseAcademyofSciences |
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| 摘 要： | 本文讨论了一类奇摄动非线性边值问题 .利用伸长变量和边界层校正法 ,得到了问题解的形式渐近展开式 .再用微分不等式理论 ,证明了解的一致有效性
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| 关 键 词： | 奇摄动 非线性边值问题 微分不等式 渐近展开式 |
The Singularly Perturbed Nonlinear Boundary Value Problems |
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| Abstract. The Singularly Perturbed Nonlinear Boundary Value Problems[J]. Mathematica Applicata, 2004, 17(1): 37-41 |
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| Authors: | Abstract |
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| Abstract: | In this paper,the singularly perturbed nonlinear boundary value problems are considered.Using the stretched variable and the method of boundary layer correction,the formal asymptotic expansion for the solution of the problem is obtained.And then the uniformly validity of solution is proved by using the differential inequalities. |
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| Keywords: | Singular perturbation Nonlinear boundary value problem Differential inequality Asymptotic expansion |
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