n阶非自治Volterra－Lotka竞争系统有界解的存在性和吸引性

EXISTENCE AND ATTRACTION OF THE BOUNDED SOLUTION FOR THE NONAUTONOMOUS n-COMPETING SPECIES

本文考察ｎ阶非自治且非周期的Ｖｏｌｔｅｒｒａ－Ｌｏｔｋａ竟争系统，在通常的条件下，证明了这种系统存在一个有正的上、下界的解，而且当ｔ趋向正无穷大时，系统的任何正解都逼近于它．

We consider the nonautonomous Volterra-Lotka equations for n-competing species (n > 2). Under the general conditions, we show that the system has a solution with positive upper bound and lower bound, which is globally attractive.