一阶n种群系统全局解的存在唯一性

The Existence and Uniqueness of Global Solution for A N-species System

文章讨论了一类一阶n种群系统,首先采用特征线方法,将偏微分方程组化成积分方程组,再利用压缩映像定理得到解的局部存在性,进而得到全局存在性.

In this paper,a n-species system of the first order was considered. We transformed the PDEs of the first order into integral equations by characteristic method,then verified the local existence of solution by virtue of contractive fixed point theorem,furthermore obtained the global existence of solution.