Publication details

Note on oscillation of neutral differential equations with multiple delays

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Authors

HASIL Petr POSPÍŠIL Michal POSPÍŠILOVÁ ŠKRIPKOVÁ Lucia VESELÝ Michal

Year of publication 2024
Type Article in Periodical
Magazine / Source Electronic Journal of Qualitative Theory of Differential Equations
MU Faculty or unit

Faculty of Science

Citation
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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