On the global attractivity of systems of nonlinear difference equations

摘要

We study two systems of nonlinear difference equations, the first system of the form Xn+1=AXn+F(Xn−k), where A is an m×m matrix and F∈C[[0,m)m,(0,m)m], and the secondXn+1=G(Xn,…,Xn−k),n=0,1…,where G∈C[(0,m)m(k+1),(0,m)m].We study the global attractivity for the two systems under some sufficient conditions.