| 一类反应扩散方程的定态分歧 |
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| 引用本文： | 张强,张正丽.一类反应扩散方程的定态分歧[J].内江师范学院学报,2008,23(6):21-23. |
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| 作者姓名： | 张强 张正丽 |
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| 作者单位： | 四川大学,数学学院,四川,成都,610064 |
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| 摘 要： | 应用线性全连续场谱定理和规范化Lyapunov-Schmidt约化方法，研究了一类反应扩散方程正则分歧解的存在性，给出了在二阶非退化奇点处正则分歧解个数的精确判据，同时给出了正则分歧解的公式．
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| 关 键 词： | 反应扩散方程 正则分歧解 规范化Lyapunov-Schmidt约化方法 二阶非退化奇点 |
Steady State Bifurcation for a Class of Reaction-diffusion Equations |
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| ZHANG Qiang,ZHANG Zheng-li.Steady State Bifurcation for a Class of Reaction-diffusion Equations[J].Journal of Neijiang Teachers College,2008,23(6):21-23. |
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| Authors: | ZHANG Qiang ZHANG Zheng-li |
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| Institution: | (College of Mathematics, Sichuan University, Chengdu, Sichuan 610064, China) |
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| Abstract: | With the spectrum theory of linear completely continuous fields and normalized Lyapunov-Schmidt reduction method, the exsitence of regualr bifurcated solutions from a second order nondegenerate singular point raised from the given reaction-diffusion equations are investigated. The exact criteria for the number of regular bifurcated solutions are obtained. Furthermore, the formulas of regular bifurcated solutions are also obtained. |
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| Keywords: | reaction-diffusion equations regular bifurcated solutions normalized Lyapunov- Schmidt reduction method second order nondegenerate singular point |
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