华东师范大学学报(自然科学版) ›› 2010, Vol. 2010 ›› Issue (1): 1-5.

• 应用数学与基础数学 •    下一篇

具有积分边界条件的非线性二阶奇摄动问题

谢峰1,2,张莲1   

  1. 1. 东华大学 应用数学系, 上海201620; 2. 上海高校计算科学E-研究院 上海交通大学研究所, 上海200030
  • 收稿日期:2009-05-22 修回日期:2009-08-01 出版日期:2010-01-25 发布日期:2010-01-25
  • 通讯作者: 谢峰

Non-linear second-order singularly perturbed problem with integral boundary condition (Chinese)

XIE Feng1,2, ZHANG Lian1

  

  1. 1. Department of Applied Mathematics, Donghua University, Shanghai 201620, China; 2. Division of Computational Science, E-Institute of Shanghai Universities at SJTU, Shanghai200030, China
  • Received:2009-05-22 Revised:2009-08-01 Online:2010-01-25 Published:2010-01-25
  • Contact: XIE Feng

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摘要： 用边界层函数法构造出一类含有积分边界条件的非线性二阶奇摄动问题的形式渐近解,借助微分不等式理论证明了渐近解的一致有效性, 并给出例子.

关键词: 奇摄动, 渐近展开, 积分边界条件, 奇摄动, 渐近展开, 积分边界条件

Abstract: By the method of boundary layer function the formal asymptotic solution for the problem was constructed, and its uniformly validity was proved using the theory of differential inequalities. An example was given.

Key words: asymptotic expansion, integral boundary condition, singular perturbation, asymptotic expansion, integral boundary condition

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