一类二阶拟线性时滞差分方程的非振动性定理

Non-oscillation Theorems for A Class of Second Order Quasilinear Delay Difference Equation

研究了一类二阶拟线性时滞差分方程的渐近性,并给出了特殊情况下,此方程存在Ac∞,A0c型非振动解的充要条件以及存在A0∞非振动解的充分条件.

A class of nonoscillatory properties of quasilinear difference equation of second order are considered. Under the especial condition, we give the if and only if conditions of the Equation which exists nonoscillatory solutions belonging to the type of A∞^c and A∞^0 , and the sufficient conditions of the Equation which exists nonoscillatory solutions belonging to the type of A∞^0.