Second-Order Neutral Differential Equations with Sublinear Neutral Terms: New Criteria for the Oscillation

This paper aims to study the oscillatory behavior of second-order neutral differential equations. Using the Riccati substitution technique, we introduce new oscillation criteria that essentially improve some related criteria from the literature. We provide some examples and compare the results in this paper with earlier results to illustrate the importance of our results.

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Publication Details

Journal
Mathematics
Published
2025-03-07
DOI
https://doi.org/10.3390/math13060903
Citations
2
Primary Topic
Differential Equations and Numerical Methods
Type
article
Field-Weighted Citation Impact
5.26
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article

Second-Order Neutral Differential Equations with Sublinear Neutral Terms: New Criteria for the Oscillation

Ali Muhib, S.K. Elagan, Hajer Zaway, Meraa Arab
2 citations
Mathematics
Differential Equations and Numerical Methods
5.26
article

Second-Order Neutral Differential Equations with Sublinear Neutral Terms: New Criteria for the Oscillation

Ali Muhib, S.K. Elagan, Hajer Zaway, Meraa Arab
article en
2 citations

Abstract

This paper aims to study the oscillatory behavior of second-order neutral differential equations. Using the Riccati substitution technique, we introduce new oscillation criteria that essentially improve some related criteria from the literature. We provide some examples and compare the results in this paper with earlier results to illustrate the importance of our results.

MathematicsVol. 13(6)
Taif University (SA), Jadara University (JO), King Faisal University (SA), Menoufia University (EG), Ibb University (YE)
Openalex Percentile: Top 6%
Differential Equations and Numerical Methods
5.26
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