具有连续系数的竞争扩散方程组的周期解(英文)

Periodic Solution for a Competition Diffusion System with Continuous Coefficients

本文讨论了一类变系数的竞争扩散方程组,其中系数关于空间和时间变元连续,而关于时间变元是周期的.通过构造上下解,运用单调迭代方法证明了带Neumann边界条件的竞争扩散方程组正周期解的存在性和唯一性.

In this paper,we consider an N-species competition diffusion system in which the coefficients are positive continuous in x,t and periodic in t.Using a monotone iterative scheme,we prove the existence and uniqueness of positive periodic solutions to the periodic boundary value problem of the competition diffusion system with the Neumann boundary condition.