Asymptotic behavior of the positive solutions of a system of k difference equations of exponential form

摘要

In this paper we study the asymptotic behavior of the positive solutions of the system of k difference quations of exponential form (equation presented) where a _i, b _i, i = 1,2,?,k are positive constants and the initial values x _(i,n,) i = 1, 2,?, k, n =-1,0 are real positive numbers and x_(k+1,n) = x_(1,n), n = 0,1,?.