Oscillation criteria for linear difference equations with several variable delays
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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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AGH Univeristy of Science and Technology Press
2021-09-01
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| Series: | Opuscula Mathematica |
| Subjects: | |
| Online Access: | https://www.opuscula.agh.edu.pl/vol41/5/art/opuscula_math_4129.pdf |
| _version_ | 1819063888115662848 |
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| author | Vasileios Benekas Ábel Garab Ardak Kashkynbayev Ioannis P. Stavroulakis |
| author_facet | Vasileios Benekas Ábel Garab Ardak Kashkynbayev Ioannis P. Stavroulakis |
| author_sort | Vasileios Benekas |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-21T15:21:49Z |
| format | Article |
| id | doaj.art-6ac28fc11ca9405c94a55c8c774e5618 |
| institution | Directory Open Access Journal |
| issn | 1232-9274 |
| language | English |
| last_indexed | 2024-12-21T15:21:49Z |
| publishDate | 2021-09-01 |
| publisher | AGH Univeristy of Science and Technology Press |
| record_format | Article |
| series | Opuscula Mathematica |
| spelling | doaj.art-6ac28fc11ca9405c94a55c8c774e56182022-12-21T18:59:01ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742021-09-01415613627https://doi.org/10.7494/OpMath.2021.41.5.6134129Oscillation criteria for linear difference equations with several variable delaysVasileios Benekas0https://orcid.org/0000-0001-9693-1499Ábel Garab1https://orcid.org/0000-0001-9693-1923Ardak Kashkynbayev2https://orcid.org/0000-0002-1338-2058Ioannis P. Stavroulakis3https://orcid.org/0000-0002-4810-0540Department of Mathematics, University of Ioannina, 45110 Ioannina, GreeceDepartment of Mathematics, University of Klagenfurt, Universitätsstraße 65-67, A-9020 Klagenfurt, AustriaDepartment of Mathematics, Nazarbayev University, Qabanbay Batyr Avenue, 53, 010000 Nur-Sultan, KazakhstanDepartment of Mathematics, University of Ioannina, 45110 Ioannina, GreeceWe 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.https://www.opuscula.agh.edu.pl/vol41/5/art/opuscula_math_4129.pdfoscillationdifference equationsseveral delaysnon-monotone argumentslowly varying function |
| spellingShingle | Vasileios Benekas Ábel Garab Ardak Kashkynbayev Ioannis P. Stavroulakis Oscillation criteria for linear difference equations with several variable delays Opuscula Mathematica oscillation difference equations several delays non-monotone argument slowly varying function |
| title | Oscillation criteria for linear difference equations with several variable delays |
| title_full | Oscillation criteria for linear difference equations with several variable delays |
| title_fullStr | Oscillation criteria for linear difference equations with several variable delays |
| title_full_unstemmed | Oscillation criteria for linear difference equations with several variable delays |
| title_short | Oscillation criteria for linear difference equations with several variable delays |
| title_sort | oscillation criteria for linear difference equations with several variable delays |
| topic | oscillation difference equations several delays non-monotone argument slowly varying function |
| url | https://www.opuscula.agh.edu.pl/vol41/5/art/opuscula_math_4129.pdf |
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