Abstract:We obtain sufficient conditions for oscillation of all solutions of the impulsive partial difference equation with continuous variable A(x+τ,y)+A(x,y+τ)-A(x,y)+p(x,y)A(x-rτ,y-lτ)=0,x≥x0;y≥y0-τ,x≠xk, A(xk+τ,y)+A(xk,y+τ)-A(xk,y)=bkA(xk,y),y∈[y0-τ,∞),k∈N(1). Where p(x,y)≥0 is continuous on [x0,∞)×[y0-τ,∞), τ>0, bk are constants, r and l are positive integers, 0≤x0<x1<…<xk<… with limk→∞xk=∞.