一类反应扩散方程的分歧

Bifurcation of A Class of Reaction-Diffusion Equations

英文关键词:reaction-diffusion equation  L-S reduction  singularity method  bifurcation.

中文摘要:

      本文讨论了一类反应扩散方程的分歧现象.运用所谓基于李雅普诺夫施密特约化的奇异理论方法，得到了满意的结果.

英文摘要:

      The paper deals with one important class of reaction-diffusion equations, u" + μ(u - u^k) = 0(2 < k ∈ Z⁺) with boundary value condition u(0) = u(x) =0. Singularity theory based on the method of L-S (Liapunov-Schmidt) is applied to its bifurcation analysis. And the satisfactory results are obtained.