Investigating Oscillatory Behavior in Third-Order Neutral Differential Equations with Canonical Operators

Abdulaziz Khalid Alsharidi () and Ali Muhib ()
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Abdulaziz Khalid Alsharidi: Department of Mathematics and Statistics, College of Science, King Faisal University, Al-Hasa 31982, Saudi Arabia
Ali Muhib: Department of Mathematics, Faculty of Applied and Educational Sciences—Al-Nadera, Ibb University, Ibb 70270, Yemen

Mathematics, 2024, vol. 12, issue 16, 1-15

Abstract: In this study, we aim to set new criteria regarding the asymptotic behavior of the neutral differential equation of the third order. These criteria are designed to ensure that this equation is oscillatory using comparisons with first-order differential equations and Riccati substitution. The results we obtained improve some of the results found in the literature. Some examples are provided to illustrate the applicability of our results and compare them with results found in some previous studies.

Keywords: oscillation criteria; third order; canonical form; neutral differential equation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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