On a solvable p-dimensional system of nonlinear difference equations

In this paper, we investigate the solutions of the following system of p−nonlinear difference equations x (i) n+1 = a (i) x (i+1)mod(p) n x (i+1)mod(p) n −2 / b (i) x (i) n −1 +c (i) x (i+1)mod(p) n −2 , n∈N 0 , p∈N, i∈{1,..., p}, where N 0 =N∪{0}, the sequences (a (i) ), (b (i) ), (c (i) ), are non-zero real numbers and initial values x (i) −j , j∈{0,1,2}, i∈{1,..., p}. Finally, we give some applications concerning aforementioned system of difference equations.