带时滞的反应扩散方程组解的存在性

The Existence of the Solution to a Reaction Diffusion Systems with Time Delays

研究了在半空间In+中边界耦合的时滞反应扩散方程组,应用上下解的方法以及单调迭代序列的积分表示公式,证明了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.

A coupled boundary time delays reaction diffusion systems in R^n＋are studied. The method of upper and lower solutions and the integral represention of its associated monotone iterative sequences are used. The existence and uniquiness of the global solution is shown. An application is given to a special Volterra-Lotka model.