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No abstract is provided for this article.
This paper studies the following nonlinear two-dimensional partial difference system: Δ1(xmn−bmng(ymn)=0, T(Δ1Δ2)(ymn+amnf(xmn)=0, where m, n ϵ N i = {i, i + 1,…}, i is a nonnegative integer, T(Δ 1, Δ 2) = Δ 1 + Δ 2 + I, Δ 1 y mn = y m+1,n − y mn , Δ 2 y mn = y m,n+1 − y mn , I mn y mn = Y mn , {a mn } and {b mn } are real sequences, m, n ϵ N 0, and f, g : R → R are continuous with of uf(u) > 0 and ug(u) > 0 for all u ≠ 0. A solution ({x mn }, {y mn }) of this system is oscillatory if both components are oscillatory. Some sufficient conditions are derived for all solutions of this system to be oscillatory.
