| 一类反应扩散方程的分歧 |
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| 引用本文： | 李常品.一类反应扩散方程的分歧[J].数学研究与评论,2001,21(1):47-52. |
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| 作者姓名： | 李常品 |
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| 作者单位： | 上海大学数学系, |
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| 基金项目： | 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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| 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.
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| 关 键 词： | 反应扩散方程 分歧 李雅普诺夫－施密特约化 |
| 文章编号： | 1000-341X(2001)01-0047-06 |
| 收稿时间： | 1998/10/19 0:00:00 |
| 修稿时间： | 1998年10月19 |
Bifurcation of A Class of Reaction-Diffusion Equations |
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| LI Chang-pin.Bifurcation of A Class of Reaction-Diffusion Equations[J].Journal of Mathematical Research and Exposition,2001,21(1):47-52. |
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| Authors: | LI Chang-pin |
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| Affiliation: | Dept. of Math., Shanghai University, Shanghai 200436, China |
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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. |
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| Keywords: | reaction-diffusion equation L-S reduction singularity method bifurcation |
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