Oscillation criteria for linear difference equations with several variable delays

• Autorzy: Benekas Vasileios , Garab Abel , Kashkynbayev Ardak , Stavroulakis Ioannis P.

Identyfikatory

DOI

10.7494/OpMath.2021.41.5.613

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

oscillation; difference equations; several delays; non-monotone argument; slowly varying function

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2021
• Tom: Vol. 41, no. 5
• Strony: 613--627
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Benekas Vasileios

• Department of Mathematics University of Ioannina 45110 Ioannina, Greece

• https://orcid.org/0000-0001-9693-1499

autor

Garab Abel

• Department of Mathematics University of Klagenfurt Universitätsstraße 65-67, A-9020 Klagenfurt, Austria

• https://orcid.org/0000-0001-9693-1923

autor

Kashkynbayev Ardak

• Department of Mathematics Nazarbayev University Qabanbay Batyr Avenue, 53, 010000 Nur-Sultan, Kazakhstan

• https://orcid.org/0000-0002-1338-2058

autor

Stavroulakis Ioannis P.

• Department of Mathematics University of Ioannina 45110 Ioannina, Greece

• https://orcid.org/0000-0002-4810-0540

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).