| 三阶非线性微分方程三点边值问题的渐近解 |
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| 引用本文： | 姚静荪.三阶非线性微分方程三点边值问题的渐近解[J].应用数学,2009,22(2). |
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| 作者姓名： | 姚静荪 |
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| 作者单位： | 安徽师范大学数学系,安徽,芜湖,241000 |
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| 摘 要： | 本文通过引入伸长变量和使用边界层校正项的方法构造了一类三阶非线性微分方程三点边值问题的形式渐近解,然后利用高阶微分不等式理论,证明了此解的一致有效性.
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| 关 键 词： | 奇异摄动 三点边值问题 微分不等式 |
Asymptotic Solution of the Three Points Boundary Value Problem for Nonlinear Third Order Equation |
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| YAO Jing-sun.Asymptotic Solution of the Three Points Boundary Value Problem for Nonlinear Third Order Equation[J].Mathematica Applicata,2009,22(2). |
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| Authors: | YAO Jing-sun |
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| Abstract: | In this paper,the formal asymptotic expansion of solution of the three points boundary value problem for nonlinear third order equation is obtained by using the stretched variable and the method of boundary layer correction.According to the theory of differential inequalities the uniformly validity of solution is proved. |
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| Keywords: | Singular perturbation Three points boundary value problem Differential inequality |
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