| 奇摄动三阶非线性边值问题 |
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| 引用本文： | 黄香蕉,明万元.奇摄动三阶非线性边值问题[J].数学的实践与认识,2011,41(8). |
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| 作者姓名： | 黄香蕉 明万元 |
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| 作者单位： | 南昌航空大学数学与信息科学学院,江西南昌,330063 |
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| 摘 要： | 研究了一类奇摄动三阶非线性边值问题,在构造形式渐近解的基础上,用微分不等式理论证明了解的存在性,并得出了解的任意阶的一致有效展开式.
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| 关 键 词： | 奇摄动 边值问题 微分不等式 |
Singularly Perturbed Third Order Nonlinear Boundary Value Problems |
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| HUANG Xiang-jiao,MING Wan-yuan.Singularly Perturbed Third Order Nonlinear Boundary Value Problems[J].Mathematics in Practice and Theory,2011,41(8). |
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| Authors: | HUANG Xiang-jiao MING Wan-yuan |
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| Institution: | HUANG Xiang-jiao,MING Wan-yuan (College of Mathematics and Information Science,Nanchang Hangkong University,Nanchang 330063,China) |
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| Abstract: | A class of singularly perturbed third order nonline boundary value problems are studied.Under the construction of a formal approximation of the boundary value problem, the existence of solution is proved and the uniformly valid asymptotic expansions of arbitrary order are obtained by the theories of differential inequalities. |
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| Keywords: | singular perturbation boundary value problems differential inequality |
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