Oscillation criteria for nonlinear partial difference equations with delays

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)y(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=1 τ P i (m,n,y(m − k i , n − l i )) = ∑ i=1 τ Q i (m,n,y(m − k i , n − l i )) . Several examples, which dwell upon the importance of our results, are also included.