Note on oscillation of neutral differential equations with multiple delays
This note is a reaction on a recently published sufficient condition for oscillation of all solutions of a neutral delay differential equation. It is shown by a counterexample that the result is not correct and the problem is explained in details. Several, more general, classes of neutral differenti...
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| Format: | Article |
| Language: | English |
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University of Szeged
2024-07-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=11045 |
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| _version_ | 1841533489593188352 |
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| author | Petr Hasil Michal Pospíšil Lucia Pospíšilová Škripková Michal Veselý |
| author_facet | Petr Hasil Michal Pospíšil Lucia Pospíšilová Škripková Michal Veselý |
| author_sort | Petr Hasil |
| collection | DOAJ |
| description | This note is a reaction on a recently published sufficient condition for oscillation of all solutions of a neutral delay differential equation. It is shown by a counterexample that the result is not correct and the problem is explained in details. Several, more general, classes of neutral differential equations with time-dependent discrete, distributed as well as mixed delays are considered. New sufficient conditions for oscillation of all their solutions are proved. Applications are given for illustration. |
| format | Article |
| id | doaj-art-728992e9e1fb4f4ba6ccf3c6ae97a47f |
| institution | Kabale University |
| issn | 1417-3875 |
| language | English |
| publishDate | 2024-07-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj-art-728992e9e1fb4f4ba6ccf3c6ae97a47f2025-01-15T21:24:58ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752024-07-0120243911810.14232/ejqtde.2024.1.3911045Note on oscillation of neutral differential equations with multiple delaysPetr Hasil0Michal Pospíšilhttps://orcid.org/0000-0002-1071-3077Lucia Pospíšilová Škripková1https://orcid.org/0009-0003-8083-5955Michal Veselý2Masaryk University, Brno, Czech RepublicMathematical Institute, Slovak Academy of Sciences, Bratislava, SlovakiaMasaryk University, Brno, Czech RepublicThis note is a reaction on a recently published sufficient condition for oscillation of all solutions of a neutral delay differential equation. It is shown by a counterexample that the result is not correct and the problem is explained in details. Several, more general, classes of neutral differential equations with time-dependent discrete, distributed as well as mixed delays are considered. New sufficient conditions for oscillation of all their solutions are proved. Applications are given for illustration.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=11045oscillatory solutiondiscrete delaydistributed delaymixed delay |
| spellingShingle | Petr Hasil Michal Pospíšil Lucia Pospíšilová Škripková Michal Veselý Note on oscillation of neutral differential equations with multiple delays Electronic Journal of Qualitative Theory of Differential Equations oscillatory solution discrete delay distributed delay mixed delay |
| title | Note on oscillation of neutral differential equations with multiple delays |
| title_full | Note on oscillation of neutral differential equations with multiple delays |
| title_fullStr | Note on oscillation of neutral differential equations with multiple delays |
| title_full_unstemmed | Note on oscillation of neutral differential equations with multiple delays |
| title_short | Note on oscillation of neutral differential equations with multiple delays |
| title_sort | note on oscillation of neutral differential equations with multiple delays |
| topic | oscillatory solution discrete delay distributed delay mixed delay |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=11045 |
| work_keys_str_mv | AT petrhasil noteonoscillationofneutraldifferentialequationswithmultipledelays AT michalpospisil noteonoscillationofneutraldifferentialequationswithmultipledelays AT luciapospisilovaskripkova noteonoscillationofneutraldifferentialequationswithmultipledelays AT michalvesely noteonoscillationofneutraldifferentialequationswithmultipledelays |