Oscillation results for nonlinear second order difference equations with mixed neutral terms

Advances in Difference Equations

article

Grace, Said R.¹  Alzabut, Jehad² 

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

关键词: Oscillation criteria;    Comparison techniques;    Nonlinear second order difference equations;    Mixed neutral terms;   

DOI  :  10.1186/s13662-019-2472-y

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this paper, we establish new oscillation criteria for nonlinear second order difference equations with mixed neutral terms. The key idea of our approach is to compare with first order equations whose oscillatory behaviors are already known. The obtained results not only improve and extend existing results reported in the literature but also provide a new platform for the investigation of a wide class of nonlinear second order difference equations. The results are supported by examples to demonstrate the validity of the theoretical findings.

【 授权许可】

CC BY