Nonexistence of Unbounded Nonoscillatory Solutions of Partial Difference Equations

We develop criteria for the nonexistence of eventually positive negative.and nondecreasing nonincreasing.solutions of the partial difference equation =m=ny m,n.qP m,n, y mqk,nql..sQ m,n, y mqk,nql.. and t =m=ny m,n.q Pi m,n, y mqki,nqli.. is1 t s Qi m,n, y mqki,nqli... is1 Several examples which dwell upon the importance of our results are also included.