Oscillation criteria of certain nonlinear partial difference equations

AbstractThis paper is concerned with the nonlinear partial difference equation with continuous variablesA(x + a, y) + A(x, y +a) − A(x, y) + ∑i=1mhi(x, y, A(x − σi, y − τi)) = 0,where a, σi, τi are positive numbers, hi(x, y, u) ϵ C(R+ × R+ × R, R), uhi(x, y, u) > 0 for u ≠ 0, hi is nondecreasing in u, i = 1, …, m. Some oscillation criteria of this equation are obtained