On the Oscillation of Partial Difference Equations Generated by Deviating Arguments

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Abstract

We offer sufficient conditions for the oscillation of all solutions of the partial difference equations y(m − 1,n) + β(m,n)y(m, n − 1) − δ(m,n)+ P(m,n,y(m + k,n + l)) = Q(m,n,y(m + k,n + l)) and (y(m − 1,n) + β(m,n)y(m,n − 1) − δ(m,n)y(m,n) +∑i=1rPi(m,ny(m + ki,n + li)) = ∑i=1r Qi(m,n,y9m + ki,n + li)).

Several examples which dwell upon the importance of our results are also included.

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