华中师范大学学报（自然科学版）2017，Vol.51Issue(6)：723-730,8.DOI:10.19603/j.cnki.1000-1190.2017.06.001
具阻尼项的二阶Emden-Fowler型泛函差分方程的振动准则
Oscillation criteria for second-order Emden-Fowler functional difference equations with damping
摘要
Abstract
This paper is concerned with oscillations of second-order variable delay Emden-Fowler damped difference equations of the form △[Anφ(△yn)] + Bnφ(△yn) +-Qnf (φ(xσn)) =0 (n≥n0),whereyn =xn + Png (xrn),φ(u) =| u | λ-1 u,φ(u) =| u [β-1 u (λ ＞0,β ＞0 are constants).By using the generalized Riccati transformation,averaging technique and mathematical analytic methods,some new oscillation criteria for the equations are proposed.Finally,some illustrating examples have also been provided to show the importance of these results.关键词
振动性/中立型差分方程/黎卡提变换/阻尼项Key words
oscillation/neutral difference equation/Riccati transformation/damping term分类
数理科学引用本文复制引用
杨甲山..具阻尼项的二阶Emden-Fowler型泛函差分方程的振动准则[J].华中师范大学学报（自然科学版）,2017,51(6):723-730,8.基金项目
国家青年科学基金项目(61503171) （61503171）
广西省教育厅科研项目(2013YB223) （2013YB223）
硕士学位授予单位立项建设项目(桂学位[2013]4号) （桂学位[2013]4号）
梧州学院校级科研重大项目(2014A003). （2014A003）
