一类非线性中立型差分方程的振动性

Oscillation for a type of nonlinear neutral difference equations

本文首先建立下列两类差分方程Δ( xn - rnrn-τxn+τ) α+qnf ( xn-σ) =0 ( * )和Δ ( rnΔ y) α+τ-αqnf ( rn-σyn) =0 ( * * )振动性的等价性 ,然后给出方程 ( * )

In this paper,We first prave the equivalent for the oscillation of the following difference equationsΔ(x n-r nr n-τ x n-τ ) α+q nf(x n-σ )=0 (*)and Δ(r nΔy) α+τ -α q nf(r nσ y n)=0 (**)then some criteria for the oscillation of Eq(*) are obtained.