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| 摘要: |
| 本文研究了一类非线性奇摄动微分方程的激波解.利用匹配渐近展开法，构造了问题的解的渐近展开式，并利用微分不等式理论，证明了解的一致有效性. |
| 关键词: 非线性 激波 边值 匹配 |
| DOI： |
| 分类号:O175.14 |
| 基金项目:Supported by the Natural Science Foundation of the Education Department of Anhui Province China (KJ2016A084). |
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| THE SHOCK SOLUTION FOR A CLASS OF NONLINEAR SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM |
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ZHU Hong-bao,CHEN Song-lin
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| Abstract: |
| In this paper, the shock solution for a class of nonlinear singularly perturbed differential equation is considered. Using the method of matched asymptotic expansions, the asymptotic expression of problem is constructed and the uniform validity of asymptotic solution is also proved by the theory of differential inequalities. |
| Key words: nonlinear problem shock wave boundary layer matching |
