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

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.