Oscillation of nonlinear third-order difference equations with mixed neutral terms

Advances in Difference Equations

article

Alzabut, Jehad¹  Bohner, Martin²  Grace, Said R.³ 

[1] Department of Mathematics and General Sciences, Prince Sultan University;Department of Mathematics and Statistics;Department of Engineering Mathematics, Faculty of Engineering, Cairo University

关键词: Oscillation;    Comparison;    Nonlinear third-order difference equations;    Mixed neutral terms;   

DOI  :  10.1186/s13662-020-03156-0

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this paper, new oscillation results for nonlinear third-order difference equations with mixed neutral terms are established. Unlike previously used techniques, which often were based on Riccati transformation and involve limsup or liminf conditions for the oscillation, the main results are obtained by means of a new approach, which is based on a comparison technique. Our new results extend, simplify, and improve existing results in the literature. Two examples with specific values of parameters are offered.

【 授权许可】

CC BY