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Note on oscillation of neutral differential equations with multiple delays

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HASIL Petr POSPÍŠIL Michal POSPÍŠILOVÁ ŠKRIPKOVÁ Lucia VESELÝ Michal

Rok publikování 2024
Druh Článek v odborném periodiku
Časopis / Zdroj Electronic Journal of Qualitative Theory of Differential Equations
Fakulta / Pracoviště MU

Přírodovědecká fakulta

Citace
www https://doi.org/10.14232/ejqtde.2024.1.39
Doi http://dx.doi.org/10.14232/ejqtde.2024.1.39
Klíčová slova oscillatory solution; discrete delay; distributed delay; mixed delay
Popis 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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