一类非线性差分方程组解的动力学行为

The Dynamics Behavior of Solution to a System of Two Nonlinear Difference Equations

研究了一类非线性差分方程组xn=A+xn-1xn-pyn-q,yn=A+yn-1xn-ryn-s n=1,2,…解的动力学性质,包括有界性和解的全局渐近收敛性,其中:{xn},{yn}为正实数数列;p,q,r,s均为正整数,A≥0;初始解x1-max{p,r},x2-max{p,r},…,x0>0,初始解y1-max{q,s},y2-max{q,s},…,y0>0.

In this paper,the authors investigate the boundedness and the global asymptotic convergence of solution to a system of two nonlinear difference equations xn=A＋xn-1xn-pyn-q,yn=A＋yn-1xn-ryn-s n=1,2,…with positive initial conditions where p,q,r,s are distinct nonnegative integers,A≥0.