| 一类拟线性奇摄动方程的边值问题 |
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| 引用本文： | 韩祥临.一类拟线性奇摄动方程的边值问题[J].数学季刊,2003,18(2):192-197. |
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| 作者姓名： | 韩祥临 |
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| 作者单位： | DepartmentofMatematics,HuzhouTeacher‘sCollege,Huzhou313000,China |
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| 摘 要： | In this paper, the Nagumo theorem and the fixed-point theorem are used to prove the existence and the uniqueness and to estimate the asymptotic expansion of the shock solutions of the boundary value problems for a class of quasilinear differential equations, the asymptotic expansion of solution of any orders including boundary is obtained.
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| 关 键 词： | 拟线性奇摄动方程 边值问题 常微分方程 Nagumo定理 不动点定理 存在性 唯一性 激波解 渐进展开 形式解 |
Singular Perturbations of Boundary Value Problems for a Class of Quasilinear Differential Equations |
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| HANXiang-lin.Singular Perturbations of Boundary Value Problems for a Class of Quasilinear Differential Equations[J].Chinese Quarterly Journal of Mathematics,2003,18(2):192-197. |
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| Authors: | HANXiang-lin |
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| Abstract: | In this paper,the Nagumo theorem and the fixed-point theorem are used to prove the exist-ence and the uniqueness and to estimate the asymptotic expansion of the shock solutions of the boundary value problems for a class of quasilinear differential equations.the asymptotic expansion of solution of any orders inculding boundary is obtained. |
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| Keywords: | quasilinear equation Nagumo theorem fixed-point theorem asymptotic solution |
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