一类二阶非线性时滞差分方程的振动性

Oscillation Criteria of a Class of Second-order Nonlinear Delay Difference Equation

利用分析技巧,结合Riccati变换,研究了方程Δ[(xn+anxn-τ)kΔ(xn+anxn-τ)k]+bnf(xn-σ)=0,n≥n0在系数an,bn满足不同条件下的振动性,并举例说明.

In the report,averaging skills and Riccati transformation were used to discuss the oscillation of the equations,Δ[（ xn＋ anxn-τ）kΔ（ xn＋ anxn-τ）k]＋bnf（ xn-σ） =0,n≥n0,with which the coefficients,an,bn,satisfied under the different conditions. Some examples are given to illustrate the results.