Some New Oscillation Results for Higher-Order Nonlinear Differential Equations with a Nonlinear Neutral Term

Autor: John R. Graef, Said R. Grace, Irena Jadlovská, Ercan Tunç
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Mathematics, Vol 10, Iss 16, p 2997 (2022)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math10162997
Popis: The authors study the oscillatory behaviors of solutions of higher-order nonlinear differential equations with a nonlinear neutral term. The right hand side of their equation contains both an advanced and a delay term, and either (or both) of them can be sublinear or superlinear. The influence of these terms on the oscillatory and asymptotic behaviors of solutions is investigated by using a comparison to first-order advanced and delay differential equations. New oscillation criteria are presented that improve and extend many known oscillation criteria in the literature. An example is provided to illustrate the results.
Databáze: Directory of Open Access Journals
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