摘要:In this article, the following advanced partialdifference equationpu m+2,n + qu m,n+2 − u m,n + ru m+σ,n+τ = 0is considered, where p,q,r are real numbers satisfying p 2 +q 2 +r 2 6= 0, and m,n,σ,τ are non-negative integers. It derives somenecessary and sufficient conditions by means of the envelopetheory to ensure the oscillatory properties of solutions for theequation.