| 一类强非线性奇摄动边值问题 |
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| 引用本文： | 唐荣荣. 一类强非线性奇摄动边值问题[J]. 数学季刊, 2003, 18(2): 117-120 |
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| 作者姓名： | 唐荣荣 |
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| 作者单位： | DepartmentofMathematics,HuzhouTeacher‘sCollege,Huzhou313000,China |
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| 基金项目： | Supported by the Natural Science Foundation of Zhejiang Provivce (102009)，Supported by the Natural Foundation of Huzhou Teacher's College(200302) |
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| 摘 要： | In this paper, a class of strongly nonlinear singular perturbed boundary value problems are coasidered by the theory of differential inequalities and the correction of boundary layer, under which the existence of solution is proved and the uniformly valid asymptotic expansions is obtained as well.
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| 关 键 词： | 强非线性奇摄动边值问题 常微分方程 约化问题 解 存在性 渐进行为 |
A Class of Strongly Nonlinear Singular Perturbed Boundary Value Problems |
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| TANGRong-rong. A Class of Strongly Nonlinear Singular Perturbed Boundary Value Problems[J]. Chinese Quarterly Journal of Mathematics, 2003, 18(2): 117-120 |
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| Authors: | TANGRong-rong |
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| Abstract: | In this paper,a class of strongly nonlinear singular perturbed boundary value problems are considered by the theory of differential inequalities and the correction of boundary layer,under which the existence of solution is proved and the uniformly valid asymptotic expansions is obtained as well. |
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| Keywords: | nonlinear equation singular perturbation boundary value problem differential inequality |
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