| Brusselator方程解的存在性和稳定性 |
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| 引用本文： | 严晓璐,刘伟安,杨茵.Brusselator方程解的存在性和稳定性[J].数学杂志,2002,22(2):147-152. |
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| 作者姓名： | 严晓璐 刘伟安 杨茵 |
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| 作者单位： | 1. 武汉大学数学与统计学院,武汉,430072
2. 华中科技大学数学系,武汉,430074 |
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| 基金项目： | theNationalNaturalScienceFoundationofChina (G19990 75 10 7) |
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| 摘 要： | 本文研究了一种Brusselator方程的。用不变区域证明了解的全局存在性，并通过构造上下解给出了非常数定态解渐进稳定的条件。最后推出吸引域。
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| 关 键 词： | Brusselator方程 解 存在性 稳定性 不变区域 特征值 |
EXISTENCE AND STABILITY OF REACTION-DIFFUSION SYSTEMS IN BRUSSELATOR EQUATION |
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| YAN Xiao-lu,Liu Wei-an,Yang Yin.EXISTENCE AND STABILITY OF REACTION-DIFFUSION SYSTEMS IN BRUSSELATOR EQUATION[J].Journal of Mathematics,2002,22(2):147-152. |
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| Authors: | YAN Xiao-lu Liu Wei-an Yang Yin |
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| Abstract: | In this article, a kind of Brusselator equation is considered. The global existence of its solutions is proved by invariant domain, and the conditions of asymptotic stability of its non-constant steady solutions are given by constructing upper and lower solutions. A attract region is also given as a corollary. |
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| Keywords: | Invariant domain upper and lower solutions eigenvalue |
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