Oscillation criteria for linear difference equations with several variable delays

Benekas V. Garab A. Kashkynbayev A. Stavroulakis I.P.
2021 AGH University of Science and Technology

Opuscula Mathematica
2021 #41 Issue 5 613 - 627 pp.

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.

Difference equations , Non-monotone argument , Oscillation , Several delays , Slowly varying function

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Department of Mathematics, University of Ioannina, Ioannina, 45110, Greece
Department of Mathematics, University of Klagenfurt, Universitatsstrase 65-V67, Klagenfurt, A-9020, Austria
Department of Mathematics, Nazarbayev University, Qabanbay Batyr Avenue, 53, Nur-Sultan, 010000, Kazakhstan

Department of Mathematics
Department of Mathematics
Department of Mathematics

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