Extension of Proper _-holom orphic Mappings

In this paper,we prove that a proper μ holomorphic mapping f:D 1→D 2 between bounded domains with some convexity,such that f satisfies some growth condition,extends smoothly to bD 1-{z:U(z)=0}.

一类两种群竞争离散系统的持久性

讨论了密度制约的两种群竞争离散系统x(n+1)=x(n)exp{r1-a1x(n)-b1y(n)}y(n+1)=y(n)exp{r2-a2x(n)-b2y(n)}的初值解的有界性及系统的持久性。通过适当构造解的最终有界区域,证明了当bb12<rr21<aa12时,系统是强持续生存的。这里ri,ai,bi(i=1,2)均为正的常数。