全空间中带时滞的反应扩散方程组

Diffusion-Reaction Systems with Time Delays in ${\bf R}^n$ Domain

中文关键词:  反应扩散方程组  时滞  上下解  Volterra-Lotka竞争模型.

英文关键词:Diffusion-Reaction  time delay  upper and lower solution  Volterra-Lotka model.

中文摘要:

      文应用上下解的方法以及单调迭代序列的积分表达式,证明了在半空间${\bf R}^{n}$中耦合的时滞反应扩散方程组全局解的存在唯一性,并且用它解决了一类特殊的Volterra-Lotka模型的解的存在性问题.

英文摘要:

      By the method of upper and lower solitions and the integral represention of its associated monotone iterative sequences, this paper gives the existence and uniquiness of a solution to a coupled boundary time delays reaction diffusion system in ${\bf R}^n$. Moreover, an application is given to a special Volterra-Lotka model.