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1.
We investigate the oscillatory behavior of all solutions of a new class of first order nonlinear neutral difference equations. Several explicit oscillation criteria are established. Our main results are supported by illustrative examples.  相似文献   

2.
Sufficient conditions are obtained under which all solutions of
(∗)  相似文献   

3.
By using the Riccati transformation and mathematical analytic methods,some sufficient conditions are obtained for oscillation of the second-order quasilinear neutral delay difference equations Δ[r n |Δz n | α-1 Δ z n ] + q n f (x n-σ)=0,where z n=x n + p n x n τ and ∞ Σ n=0 1 /r n 1/α < ∞.  相似文献   

4.
New oscillation and nonoscillation theorems are obtained for the second order quasilinear difference equation
Δ(|Δxn−1|ρ−1Δxn−1)+pn|xn|ρ−1xn=0,  相似文献   

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7.
Some new criteria for the oscillation of fourth order nonlinear difference equations of the form
  相似文献   

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9.
In this paper, we consider the following forced higher-order nonlinear neutral difference equation
  相似文献   

10.
In this paper we will establish some oscillation criteria for the second-order nonlinear neutral delay dynamic equation
(r(t)((y(t)+p(t)y(tτ)Δ)γ)Δ)+f(t,y(tδ))=0  相似文献   

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