应用频率测度方法,研究一类二阶变系数多变时滞非线性中立型差分方程△^2(x(n)+∑j=1^mpj(n)x(rj(n)))+∑i=1^lqi(n)gi(x(si(n)))=0,n≥n.的频率振动性,得到了此类方程新的频率振动判别准则,并举例对主要结果加以说明。
Consider a kind of second-order nonlinear neutral difference equations with variable coefficients and several variable delays :△^2(x(n)+∑j=1^mpj(n)x(rj(n)))+∑i=1^lqi(n)gi(x(si(n)))=0,n≥n.Based on the frequency measure method, some new frequent oscillatory criteria of the equation are established. An example is considered to illustrate our main results.