| 二阶奇摄动边值问题 |
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| 引用本文： | 周钦德,苗树梅.二阶奇摄动边值问题[J].应用数学和力学,1988,9(1):91-94. |
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| 作者姓名： | 周钦德 苗树梅 |
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| 作者单位： | 吉林大学 |
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| 摘 要： | 本文应用上下解方法研究了边值问题εy"=f(t,y,ε),L(y(0),y'(0),ε)=0,R(y(1),y'(1),ε)=0(含一般的Robin问题)的解的存在性,唯一性和估计.
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| 收稿时间： | 1986-02-21 |
Boundary Value Problems for Second Order Singularly Perturbed Differential Equations |
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| Institution: | Jilin University, Changchun |
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| Abstract: | In this paper the existence and uniqueness of solutions of boundary value problems εy"=f(t,y,e) L(y(0),y'(0,ε=0, R(y(1),y'(1),ε=0)(which contains the Robin's problem) is discussed by using the upper and lower solution. In addition,the asymptotic estimation of the solution is given as well. |
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