数学物理学报 ›› 2005, Vol. 25 ›› Issue (2): 251-255.

• 论文 • 上一篇    下一篇

二阶半线性常微分方程Robin边值问题的奇摄动

欧阳成   

  1. 湖州师范学院数学系
  • 出版日期:2005-04-25 发布日期:2005-04-25
  • 基金资助:

    国家自然科学基金(10471039)、浙江省自然科学基金(102009)、浙江省教育厅基金(20020305)资助

A Singular Perturbation to Robin Boundary Value Problem of Semi linear ODF of Second Order  

 OU Yang-Cheng   

  • Online:2005-04-25 Published:2005-04-25
  • Supported by:

    国家自然科学基金(10471039)、浙江省自然科学基金(102009)、浙江省教育厅基金(20020305)资助

摘要:

用基本方法讨论了一个半线性奇摄动Robin边值问题.利用微分不等式理论,证明了问题解的存在性,并得到了解的渐近估计.作为应用,给出了两个例子,一个是将结果应用于一个燃烧反应扩散问题的模型,另一个是得到了有关Dirichlet问题的相应结果.

关键词: 奇摄动,半线性,微分不等式

Abstract:

A Robin boundary value problem of semilinear singular p erturbation is considered by using an elementary method. By using the theory of  differential inequalities, the existence of solution for the problem is proved a nd the asymptotic estimation of solution is obtained. As applications, two examp les are given, namely, this result is applied to a model of combustion reaction  diffusion problem and the corresponding result of the relative Dirichlet problem  is obtained.

Key words: Singular perturbation, Semi linear, Differential inequalities

中图分类号: 

  • 34E20