OSCILLATION CRITERIA FOR LINEAR DIFFERENCE EQUATIONS WITH SEVERAL VARIABLE DELAYS
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Date
2021
Authors
Benekas, Vasileios
Garab, Ábel
Kashkynbayev, Ardak
Stavroulakis, Ioannis P.
Journal Title
Journal ISSN
Volume Title
Publisher
AGH University of Science and Technology Press
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.
Description
Keywords
oscillation, difference equations, several delays, non-monotone argument, slowly varying function, Type of access: Open Access
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