Oscillation criteria for second-order Emden-Fowler functional difference equations with damping
YANG Jiashan1,2
1.School of Information and Electronic Engineering， Wuzhou University， Wuzhou 543002， China；2.Laboratory of Complex System Simulation and Intelligent Computing， uzhou University，Wuzhou 543002， China
Abstract：This paper is concerned with oscillations of second-order variable delay Emden-Fowler damped difference equations of the form Δ[Anφ(Δyn)]＋Bnφ(Δyn)＋Qnf(Φ(xσn))＝0(n≥n0)，whereyn＝xn＋Png(xτn)，φ(u)＝|u|λ－1u，Φ(u)＝|u|β－1u (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.
2017, Vol. 51 
