Asymptotic Behavior and Nonexistence of Positive Solutions of Delay Difference Equations *L

Asymptotic Behavior and Nonexistence of Positive Solutions of Delay Difference Equations

Aim To obtain new criteria for asymptotic behavior and nonexistence of positive solutions of nonlinear neutral delay difference equations. Methods By means of Hlder inequality and a method of direct analysis, some interesting Lemmas were offered. Results and Conclusion New criteria for asymptotic behavior and nonexistence of positive solutions of nonlinear neutral delay difference equations are established, which extend and improve the results obtained in the literature. Some interesting examples illustrating the importance of our results are also included.

目的讨论一类带可变系数二阶非线性中立型时滞差分方程正解所具有的性质．方法通过运用差分不等式及几个常用不等式，建立了两个引理．结果与结论获得了有关此类方程正解的渐近性质及不存在正解的新准则，推广并改善了最近文献的某些结果，同时还给出了具体的实例，以说明结果的实用、精确和重要．