Note on oscillation of neutral differential equations with multiple delays

• Autoři: 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
• www: https://doi.org/10.14232/ejqtde.2024.1.39
• Doi: https://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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• Diferenciální a diferenční rovnice reálných řádů: kvalitativní analýza a její aplikace