Bounded oscillation for second-order nonlinear neutral difference equations in critical and non-critical states

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摘要

The sufficient and necessary conditions for the bounded oscillation of the second order nonlinear neutral delay difference equationΔ2[x(n)-px(n-τ)]=∑i=1mqix(n-σi)+f(n,x(n-η1(n)),…,x(n-ηl(n)))are obtained in critical and non-critical cases.

论文关键词：39A10,Second-order nonlinear neutral difference equation,Bounded oscillation,Characteristic equation,Critical and non-critical cases

论文评审过程：Received 3 July 2006, Revised 12 November 2006, Available online 18 December 2006.

论文官网地址：https://doi.org/10.1016/j.cam.2006.11.008