TY  - JOUR
ID  - Benekas2021
LB  - Benekas2021
AU  - Benekas, Vasileios
AU  - Garab, Ábel
AU  - Kashkynbayev, Ardak
AU  - Stavroulakis, Ioannis P.
TI  - Oscillation criteria for linear difference equations with several variable delays
ST  - Oscillation criteria for linear difference equations with several variable delays
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2021
VL  - 41
IS  - 5
SP  - 613
EP  - 627
DO  - https://doi.org/10.7494/OpMath.2021.41.5.613
UR  - https://doi.org/10.7494/OpMath.2021.41.5.613
AB  - 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.
KW  - oscillation
KW  - difference equations
KW  - several delays
KW  - non-monotone argument
KW  - slowly varying function
SN  - 1232-9274
ER  -