Oscillation for a High Order Nonlinear Difference Equations

Guanghui LIU; Pei WANG

doi:10.3968/%x

Oscillation for a High Order Nonlinear Difference Equations

Guanghui LIU, Pei WANG

Abstract

In this paper, we consider certain nonlinear difference equations
Δ2(|Δ2yn|α-1Δ2yn) + qn|yτ(n)|β-1yτ(n) = 0 ,
where
(a) α, β are positive constants;
(b) {qn}n0∞ are positive real sequences.n0∈N0 = {1,2…}. Oscillation and nonoscillation theorems of the above equation is obtained.

Keywords

Nonlinear difference equations; Oscillation; Nonoscillation; High order

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References

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DOI: http://dx.doi.org/10.3968/%25x

DOI (PDF): http://dx.doi.org/10.3968/%25x

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