OSCILLATION CRITERIA FOR LINEAR DIFFERENCE EQUATIONS WITH SEVERAL VARIABLE DELAYS
Loading...
Date
2021
Authors
Benekas, Vasileios
Garab, Abel
Kashkynbayev, Ardak
Stavroulakis, Ioannis P.
Journal Title
Journal ISSN
Volume Title
Publisher
Opuscula Mathematica
Abstract
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.
Description
Keywords
Type of access: Open Access, Difference equations, Non-monotone argument, Oscillation, Several delays, Slowly varying function
Citation
Benekas, V., Garab, B., Kashkynbayev, A., & Stavroulakis, I. P. (2021). Oscillation criteria for linear difference equations with several variable delays. Opuscula Mathematica, 41(5), 613–627. https://doi.org/10.7494/opmath.2021.41.5.613