Oscillation and asymptotic behavior of two-dimensional difference systems

This paper is concerned with the oscillation behavior of solutions of the nonlinear two-dimesional difference system Δ x n = b n g ( y n ) , Δ y n − 1 = − a n f ( x n ) , n ∈ N ( n 0 ) = { n 0 , n 0 + 1 , … } . Some necessary and sufficient conditions are given for the oscillation of all solution of the system. Our result improve and generalize some results in the literature. Examples to illustrate the result are included.