Oscillation of Nonlinear Delay Partial Difference Equations

In this paper, we consider certain nonlinear partial difference equations $$aA_{m+1,n}+bA_{m, n+1}-cA_{m,n}+sumlimits_{i=1}^{u} p_{i}(m,n)A_{m-sigma_{i},n- au_{i}}=0 $$ where $a,b,cin(0,infty )$, $u$ is a positive integer, $p_{i}(m,n),~(i=0,1,2,cdots u)$ are positive real sequences. $sigma_i, au_iin N_{0}={1,2,cdots },~i=1,2,cdots,u$. A new comparison theorem for oscillation of the above equation is obtained.