| 一类具有混合边界条件的奇摄动拟线性边值问题 |
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| 引用本文： | 明万元,黄香蕉.一类具有混合边界条件的奇摄动拟线性边值问题[J].南昌航空工业学院学报,2008,22(4). |
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| 作者姓名： | 明万元 黄香蕉 |
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| 作者单位： | 南昌航空大学 |
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| 基金项目： | 南昌航空大学校级科研基金 |
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| 摘 要： | 研究一类具有混合边界条件的奇摄动二阶拟线性边值问题,在构造形式渐近解的基础上,利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 混合边界 拟线性 边值问题 微分不等式 |
A Class of Singularly Perturbed Quasilinear Boundary Value Problems with Mixed Boundary Conditions |
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| MING Wan-yuan,HUANG Xiang-jiao.A Class of Singularly Perturbed Quasilinear Boundary Value Problems with Mixed Boundary Conditions[J].Journal of Nanchang Institute of Aeronautical Technology(Natural Science Edition),2008,22(4). |
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| Authors: | MING Wan-yuan HUANG Xiang-jiao |
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| Abstract: | ; A class of singularly perturbed second order quasilinear boundary value problems with mixed boundary conditions 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 mixed boundary quasilinear boundary value problems differential inequality |
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