Oscillation criteria for advanced difference equations of second order

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摘要

This paper involves a new improved method for establishing the oscillation of second order advanced difference equation of the formΔ(a(ℓ)Δυ(ℓ))+p(ℓ)υ(σ(ℓ))=0using the difference equationΔ(a(ℓ)Δυ(ℓ))+q(ℓ)υ(ℓ+1)=0.The results that we obtain are new and improve the existing criteria. We illustrate the results by various examples, at the end of the paper.

论文关键词:Oscillation,Second order difference equation,Advanced argument

论文评审过程:Received 28 August 2019, Revised 27 November 2019, Accepted 8 December 2019, Available online 31 December 2019, Version of Record 31 December 2019.

论文官网地址:https://doi.org/10.1016/j.amc.2019.124963