华东师范大学学报(自然科学版) ›› 2009, Vol. 2009 ›› Issue (4): 69-77.

• 应用数学与基础数学 • 上一篇    下一篇

一类奇摄动半线性方程组的Robin问题

童爱华   

  1. 浙江海洋学院~~数理与信息学院, 浙江 舟山\quad 316000
  • 收稿日期:2008-10-09 修回日期:2009-01-06 出版日期:2009-07-25 发布日期:2009-07-25
  • 通讯作者: 童爱华

Robin problem for a class of semilinear singularly\\[5pt] perturbed ODE systems

TONG Ai-hua   

  1. Department of Mathematics and Information,}} \EDWEI{{\it Zhejiang Ocean University, Zhoushan Zhejiang}\quad 316000, {\it China
  • Received:2008-10-09 Revised:2009-01-06 Online:2009-07-25 Published:2009-07-25
  • Contact: TONG Ai-hua

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摘要： 研究了一类可作为化学反应模型的奇摄动半线性方程组的Robin问题,
在一定条件下利用边界函数法构造了所论问题 一致有效的渐近解,
同时讨论了该问题解的存在惟一性, 并给出了余项估计.

关键词: 奇摄动, 边界函数, 稳定流形, 渐近解, 奇摄动, 边界函数, 稳定流形, 渐近解

Abstract: The method of boundary function was used to construct uniformly valid
asymptotic solutions of the Robin problem of a class of semilinear singularly perturbed
equations, which are often used as models for chemical reactions. At the same time the
existence and uniqueness of the solution and the estimation of the remainder for the
problem were given.

Key words: boundary functions, stable manifold, asymptotic solution , singular perturbation, boundary functions, stable manifold, asymptotic solution

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