| Bifurcation of A Class of Reaction-Diffusion Equations |
| Received:October 19, 1998 |
| Key Words:
reaction-diffusion equation L-S reduction singularity method bifurcation.
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| Fund Project:Supported by the National Natural Science Foundation (19971057) and by the Youth Science Foundation of Shanghai Municipal Commission of Education (99QA66) |
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| Abstract: |
| The paper deals with one important class of reaction-diffusion equations, u" + μ(u - uk) = 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. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2001.01.009 |
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