OSCILLATION CRITERIA FOR LINEAR DIFFERENCE EQUATIONS WITH SEVERAL VARIABLE DELAYS

Benekas, Vasileios; Garab, Ábel; Kashkynbayev, Ardak; Stavroulakis, Ioannis P.

dc.contributor.author	Benekas, Vasileios
dc.contributor.author	Garab, Ábel
dc.contributor.author	Kashkynbayev, Ardak
dc.contributor.author	Stavroulakis, Ioannis P.
dc.date.accessioned	2021-12-21T09:11:52Z
dc.date.available	2021-12-21T09:11:52Z
dc.date.issued	2021
dc.identifier.citation	Benekas, V., Garab, Á., Kashkynbayev, A., & Stavroulakis, I. P. (2021). Oscillation criteria for linear difference equations with several variable delays. In Opuscula Mathematica (Vol. 41, Issue 5, pp. 613–627). AGHU University of Science and Technology Press. https://doi.org/10.7494/opmath.2021.41.5.613	en_US
dc.identifier.issn	2300−6919
dc.identifier.uri	https://doi.org/10.7494/OPMATH.2021.41.5.613
dc.identifier.uri	http://nur.nu.edu.kz/handle/123456789/5944
dc.description.abstract	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. Keywords: oscillation, difference equations, several delays, non-monotone argument, slowly varying function.	en_US
dc.language.iso	en	en_US
dc.publisher	AGH University of Science and Technology Press	en_US
dc.relation.ispartofseries	Opuscula Mathematica;41, no. 5 (2021), 613–627
dc.rights	Attribution-NonCommercial-ShareAlike 3.0 United States	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-sa/3.0/us/	*
dc.subject	oscillation	en_US
dc.subject	difference equations	en_US
dc.subject	several delays	en_US
dc.subject	non-monotone argument	en_US
dc.subject	slowly varying function	en_US
dc.subject	Type of access: Open Access	en_US
dc.title	OSCILLATION CRITERIA FOR LINEAR DIFFERENCE EQUATIONS WITH SEVERAL VARIABLE DELAYS	en_US
dc.type	Article	en_US
workflow.import.source	science