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.