机构地区: 仲恺农业技术学院
出 处: 《系统科学与数学》 2004年第3期346-353,共8页
摘 要: 本文获得了一类具有可变时滞的非线性非自治差分方程的振动准则,建立了这类差分方程的几个线性化振动性定理,并得到了具有可变时滞的离散型非自治广义Logistic方程关于其正平衡点振动的一系列充分条件. Some oscillation criteria for a class of nonlinear nonautonomous difference equations with variable delay are obtained. Some linearized oscillation theorems for these equations are established. These results are applied to the discrete extended nonautonomous Logistic equation with variable delays, and some sufficient conditions for the oscillation of this equation are obtained.