数学物理学报(英文版) ›› 2003, Vol. 23 ›› Issue (3): 377-.

• 论文 • 上一篇    下一篇

A CLASS OF NONLINEAR SINGULARLY PERTURBED PROBLEMS FOR REACTION DIFFUSION EQUATIONS

 莫嘉琪   

  1. Huzhou Teachers&rsquo|College, Huzhou 313000, China
  • 出版日期:2003-07-14 发布日期:2003-07-14
  • 基金资助:

    . The Importent Study Profect of the National Natural Science Foundation of China
    (90211004); The Natural Sciences Foundation of Zhejiang (102009)

A CLASS OF NONLINEAR SINGULARLY PERTURBED PROBLEMS FOR REACTION DIFFUSION EQUATIONS

 MO Jia-Qi   

  1. Huzhou Teachers&rsquo|College, Huzhou 313000, China
  • Online:2003-07-14 Published:2003-07-14
  • Supported by:

    . The Importent Study Profect of the National Natural Science Foundation of China
    (90211004); The Natural Sciences Foundation of Zhejiang (102009)

摘要:

A class of nonlinear singularly perturbed problems for reaction diffusion equa-
tions are considered. Under suitable conditions, by using the theory of differential inequal-
ities, the asymptotic behavior of solutions for the initial boundary value problems are
studied, reduced problems of which possess two intersecting solutions.

关键词: Nonlinear, reaction diffusion equation, singular perturbation

Abstract:

A class of nonlinear singularly perturbed problems for reaction diffusion equa-
tions are considered. Under suitable conditions, by using the theory of differential inequal-
ities, the asymptotic behavior of solutions for the initial boundary value problems are
studied, reduced problems of which possess two intersecting solutions.

Key words: Nonlinear, reaction diffusion equation, singular perturbation

中图分类号: 

  • 35B25