摘要
本文研究了一种Brusselator方程的性质。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 .
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.
出处
《数学杂志》
CSCD
北大核心
2002年第2期147-152,共6页
Journal of Mathematics
基金
theNationalNaturalScienceFoundationofChina (G19990 75 10 7)