具有可变时滞的非线性差分方程的振动性及其应用  

Oscillation and application of nonlinear non-autonomous difference equations with variable delays

作　　者：杨玉华[1] 严艳[1] 

机构地区：[1]华北电力大学数理学院,河北保定071003

出　　处：《华北电力大学学报（自然科学版）》2007年第3期105-108,共4页Journal of North China Electric Power University：Natural Science Edition

摘　　要：利用比较方法和函数的凹凸性讨论了一类具有可变时滞的非线性差分方程振动的问题,得到了一系列的判别准则,推广和改进了已有的结果,并将其应用到了广义Logistic差分方程。Oscillation of nonlinear and non-autonomous diference equations with variable delays are discussed by using comparison method and concave-conves of function.A series of oscillation criteria for nonlinear non-autonomous differece equations with variable delays are obtained.The obtained results extend and improve the existing theorems in literature.These results are applied to the discrete extended non-autonomous Logistic equation.

关 键 词：非线性非自治差分方程 可变时滞 振动性 Logistic差分方程 

分 类 号：O175.7[理学—数学]