具阻尼項的二階Emden-Fowler型泛函差分方程的振動準則
發(fā)布時間:2018-12-14 07:38
【摘要】:研究了二階變時滯Emden-Fowler型阻尼差分方程Δ[A_nφ(Δy_n)]+B_nφ(Δy_n)+Q_nf(Φ(x_(σ_n)))=0(n≥n_0)的振動性,其中y_n=x_n+P_ng(x_(τ_n)),φ(u)=|u|~(λ-1) u,Φ(u)=|u|~(β-1) u(這里λ0,β0為實常數(shù)).利用廣義的黎卡提變換,結(jié)合其它數(shù)學分析方法,獲得了該類方程的一系列新的振動準則,并給出了若干例子說明本文所得結(jié)果的有效性.
[Abstract]:In this paper, the oscillatory properties of the second order Emden-Fowler type damped difference equation with variable delay 螖 [an class 蠁 (螖 y _ n)] B _ n 蠁 (螖 y _ n) Q_nf (桅 (x _ (蟽 _ n) = 0 (n 鈮,
本文編號:2378207
[Abstract]:In this paper, the oscillatory properties of the second order Emden-Fowler type damped difference equation with variable delay 螖 [an class 蠁 (螖 y _ n)] B _ n 蠁 (螖 y _ n) Q_nf (桅 (x _ (蟽 _ n) = 0 (n 鈮,
本文編號:2378207
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