莫嘉琪,韩祥临.一类奇摄动非线性边值问题[J].数学研究及应用,2002,22(4):626~630
一类奇摄动非线性边值问题
A Class of Singularly Perturbed Nonlinear Boundary Value Problem
投稿时间:1999-06-21  
DOI:10.3770/j.issn:1000-341X.2002.04.021
中文关键词:  奇摄动  非线性边值问题  微分不等式  渐近展开式
英文关键词:singular perturbation  nonlinear boundary value problem  differential inequality  asymptotic expansion.
基金项目:国家自然科学基金资助项目(10071048)
作者单位
莫嘉琪 湖州师范学院,湖州,313000 
韩祥临 湖州师范学院,湖州,313000 
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中文摘要:
      本文讨论了一类奇摄动非线性边值问题.利用伸长变量和边界层校正法,得到了问题解的形式渐近展开式.再用微分不等式理论,证明了解的一致有效性.
英文摘要:
      In this paper, a class of singularly perturbed nonlinear boundary value problems are considered. Using the stretched variable and the method of boundary layer correction, the formal asymptotic expansion is obtained. And then the uniform validity of the solution is proved by using the differential inequalities.
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