华东师范大学学报(自然科学版) ›› 2003, Vol. 2003 ›› Issue (3): 9-12.

• 论文 • 上一篇    下一篇

非线性椭圆型方程奇摄动问题

王辉1; 莫嘉琪2   

  1. 1 国家自然科学基金委员会, 北京 100085; 2 湖州师范学院 数学系，湖州 313000
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2003-09-10 发布日期:2003-09-10

The Nonlinear Singularly Pertubed Problems for Elliptic Equations

WANG Hui1; MO Jia-qi2   

  1. 1 National Natural Science Foundation of China , Beijing 100085, China; 2 Huzhou Teachers College Department of Mathematics, Huzhou 313000,China
  • Received:1900-01-01 Revised:1900-01-01 Online:2003-09-10 Published:2003-09-10

摘要： 作者研究了具有非线性椭圆型方程奇摄动问题,在适当的条件下,利用微分不等式理论,讨论了当退化问题具有两个相交解时,原边值问题解的渐进性态.

关键词: 非线性, 椭圆型方程, 奇摄动, 非线性, 椭圆型方程, 奇摄动

Abstract: The nonlinear singularly perturbed problems for the elliptic equations are considered. Under suitable conditions, using the theory of differentisl inequalities the asymptotic behavior of solution for the boundary value problems are studied, which reduced equations posessess two intersecting solutions.

Key words: elliptic equations, singularly perturbation, nonlinear, elliptic equations, singularly perturbation