Note on oscillation of neutral differential equations with multiple delays
| HASIL, Petr, Michal POSPÍŠIL, Lucia POSPÍŠILOVÁ ŠKRIPKOVÁ and Michal VESELÝ. Note on oscillation of neutral differential equations with multiple delays. Electronic Journal of Qualitative Theory of Differential Equations. Szeged: University of Szeged, 2024, vol. 2024, No 39, p. 1-18. ISSN 1417-3875. Available from: https://dx.doi.org/10.14232/ejqtde.2024.1.39. |
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| Basic information | |
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| Original name | Note on oscillation of neutral differential equations with multiple delays |
| Authors | HASIL, Petr (203 Czech Republic, belonging to the institution), Michal POSPÍŠIL (guarantor), Lucia POSPÍŠILOVÁ ŠKRIPKOVÁ and Michal VESELÝ (203 Czech Republic, belonging to the institution). |
| Edition | Electronic Journal of Qualitative Theory of Differential Equations, Szeged, University of Szeged, 2024, 1417-3875. |
| Other information | |
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| Original language | English |
| Type of outcome | Article in a journal |
| Field of Study | 10101 Pure mathematics |
| Country of publisher | Hungary |
| Confidentiality degree | is not subject to a state or trade secret |
| WWW | URL |
| Impact factor | Impact factor: 1.100 in 2022 |
| Organization unit | Faculty of Science |
| Doi | http://dx.doi.org/10.14232/ejqtde.2024.1.39 |
| UT WoS | 001306327800001 |
| Keywords in English | oscillatory solution; discrete delay; distributed delay; mixed delay |
| Tags | rivok |
| Tags | International impact, Reviewed |
| Changed by | Changed by: Mgr. Marie Šípková, DiS., učo 437722. Changed: 24/9/2024 09:58. |
| Abstract |
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| 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. |
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| GA20-11846S, research and development project | Name: Diferenciální a diferenční rovnice reálných řádů: kvalitativní analýza a její aplikace |
| Investor: Czech Science Foundation | |
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