Note on oscillation of neutral differential equations with multiple delays
| Authors | |
|---|---|
| Year of publication | 2024 |
| Type | Article in Periodical |
| Magazine / Source | Electronic Journal of Qualitative Theory of Differential Equations |
| MU Faculty or unit | |
| Citation | 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. |
| web | https://doi.org/10.14232/ejqtde.2024.1.39 |
| Doi | http://dx.doi.org/10.14232/ejqtde.2024.1.39 |
| Keywords | oscillatory solution; discrete delay; distributed delay; mixed delay |
| 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. |
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