Neutral differential equations with noncanonical operator: Oscillation behavior of solutions

Neutral differential equations with noncanonical operator: Oscillation behavior of solutions

The objective of this work is to study the oscillatory behavior of neutral differential equations with several delays. By using both Riccati substitution technique and comparison with delay equations of first-order, we establish new oscillation criteria. Our new criteria are simplifying and compleme...

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Veröffentlicht in:AIMS Mathematics 2021-01, Vol.6 (4), p.3272-3287
Hauptverfasser: Elabbasy, Elmetwally M., Nabih, Amany, Nofal, Taher A., Alharbi, Wedad R., Moaaz, Osama
Format: Artikel
Sprache:eng
Schlagworte:
Differential equations
even-order
Mathematics
Mathematics, Applied
neutral delay
noncanonical operator
oscillation criteria
Physical Sciences
Science & Technology
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Beschreibung
Zusammenfassung:The objective of this work is to study the oscillatory behavior of neutral differential equations with several delays. By using both Riccati substitution technique and comparison with delay equations of first-order, we establish new oscillation criteria. Our new criteria are simplifying and complementing some related results that have been published in the literature. Moreover, some examples are given to show the applicability of our results.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021196