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Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (3): 265-274.

• 论文 • 上一篇    下一篇

A NOTE ON BIFURCATIONS OF u″+μ(u-uk)=0(4≤k∈Z+)

李常品   

  1. Department of Mathematics, Shanghai University, Shanghai 200436, P.R.China
  • 收稿日期:1998-11-20 修回日期:1999-11-05 出版日期:2000-03-18 发布日期:2000-03-18
  • 基金资助:
    the National Natural Science Foundation of China (19971057);Science and Technology Developing Foundation of Shanghai Higher Education (99QA66)

A NOTE ON BIFURCATIONS OF u″+μ(u-uk)=0(4≤k∈Z+)

Li Changpin   

  1. Department of Mathematics, Shanghai University, Shanghai 200436, P.R.China
  • Received:1998-11-20 Revised:1999-11-05 Online:2000-03-18 Published:2000-03-18
  • Supported by:
    the National Natural Science Foundation of China (19971057);Science and Technology Developing Foundation of Shanghai Higher Education (99QA66)

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摘要： Bifurcations of one kind of reaction-diffusion equations, u″+μ(u-uk)=0(μ is a parameter,4≤k∈Z+), with boundary value condition u(0)=u(π)=0 are discussed. By means of singularity theory based on the method of Liapunov-Schmidt reduction, satisfactory results can be acquired.

Abstract: Bifurcations of one kind of reaction-diffusion equations, u″+μ(u-uk)=0(μ is a parameter,4≤k∈Z+), with boundary value condition u(0)=u(π)=0 are discussed. By means of singularity theory based on the method of Liapunov-Schmidt reduction, satisfactory results can be acquired.

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