Oscillation criteria for linear difference equations with several variable delays

Opuscula Mathematica

article

Vasileios Benekas¹  Ábel Garab (corresponding author)²  Ardak Kashkynbayev³  Ioannis P. Stavroulakis¹ 

[1] Department of Mathematics, University of Ioannina;Department of Mathematics, University of Klagenfurt, Universitätsstraße 65-67;Department of Mathematics, Nazarbayev University

关键词: oscillation;    difference equations;    several delays;    non-monotone argument;    slowly varying function.;   

DOI  :  10.7494/OpMath.2021.41.5.613

学科分类：环境科学（综合）

来源: AGH University of Science and Technology Press

【 摘 要 】

We obtain new sufficient criteria for the oscillation of all solutions of linear delay difference equations with several (variable) finite delays. Our results relax numerous well-known limes inferior-type oscillation criteria from the literature by letting the limes inferior be replaced by the limes superior under some additional assumptions related to slow variation. On the other hand, our findings generalize an oscillation criterion recently given for the case of a constant, single delay.

【 授权许可】

CC BY-NC