On a third-order system of difference equations

摘要

We show that the system of difference equationsxn+1=a1xn-2b1ynzn-1xn-2+c1,yn+1=a2yn-2b2znxn-1yn-2+c2,zn+1=a3zn-2b3xnyn-1zn-2+c3,n∈N0,where the parameters ai,bi,ci,i∈{1,2,3}, and initial values x-j,y-j,z-j,j∈{0,1,2}, are real numbers, can be solved, developing further the results in the literature.