摘要
本文研究了一类反应项非单调的时滞反应扩散方程组.利用上、下解方法及不动点理论获得了此系统边值问题周期解存在性的充分条件,给出了证明其周期解稳定性的方法.最后通过化学中的一个典型模型说明了所得结果的意义.
In this article, periodic solutions of reaction-diffusion systems with nonmonotone reaction functions and time delays are investigated. By using the method of upper and lower solutions and fixed point theorem, it is shown that periodic solutions of this system exist when the boundary value system has a pair of coupled -upper and lower solutions. Some methods for proving the stability of the periodic solution are also given. Finally, a model arised from chemistry is used to illustrate the obtained results.
出处
《数学杂志》
CSCD
北大核心
2010年第2期308-314,共7页
Journal of Mathematics
基金
重庆市教育委员会科学技术研究项目(KJ080511)
重庆市科委自然科学基金计划项目(CSTC
2008BB7415)
北京工业大学博士研究生创新计划项目
关键词
时滞
周期解
上、下解
反应扩散方程组
不动点理论
存在与稳定性
delay
periodic solution
upper and lower solution
reaction-diffusion systems
fixed point theorem
existence and stability
