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 th...
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| Format: | Article |
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MDPI AG
2025-03-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/13/6/903 |
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| author | Meraa Arab Hajer Zaway Ali Muhib Sayed K. Elagan |
| author_facet | Meraa Arab Hajer Zaway Ali Muhib Sayed K. Elagan |
| author_sort | Meraa Arab |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-908d0cd08e47484a88a87c87ca80a8ad |
| institution | Kabale University |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-908d0cd08e47484a88a87c87ca80a8ad2025-08-20T03:43:27ZengMDPI AGMathematics2227-73902025-03-0113690310.3390/math13060903Second-Order Neutral Differential Equations with Sublinear Neutral Terms: New Criteria for the OscillationMeraa Arab0Hajer Zaway1Ali Muhib2Sayed K. Elagan3Department of Mathematics and Statistics, College of Science, King Faisal University, Hafuf 31982, Al Ahsa, Saudi ArabiaDepartment of Mathematics and Statistics, College of Science, King Faisal University, Hafuf 31982, Al Ahsa, Saudi ArabiaDepartment of Mathematics, Faculty of Applied and Educational Sciences—Al-Nadera, Ibb University, Ibb 72072, YemenDepartment of Mathematics and Computer Sciences, Faculty of Science, Menoufia University, Shebin Elkom 32511, EgyptThis 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.https://www.mdpi.com/2227-7390/13/6/903oscillation criteriaRiccati substitutioncanonical case |
| spellingShingle | Meraa Arab Hajer Zaway Ali Muhib Sayed K. Elagan Second-Order Neutral Differential Equations with Sublinear Neutral Terms: New Criteria for the Oscillation Mathematics oscillation criteria Riccati substitution canonical case |
| title | Second-Order Neutral Differential Equations with Sublinear Neutral Terms: New Criteria for the Oscillation |
| title_full | Second-Order Neutral Differential Equations with Sublinear Neutral Terms: New Criteria for the Oscillation |
| title_fullStr | Second-Order Neutral Differential Equations with Sublinear Neutral Terms: New Criteria for the Oscillation |
| title_full_unstemmed | Second-Order Neutral Differential Equations with Sublinear Neutral Terms: New Criteria for the Oscillation |
| title_short | Second-Order Neutral Differential Equations with Sublinear Neutral Terms: New Criteria for the Oscillation |
| title_sort | second order neutral differential equations with sublinear neutral terms new criteria for the oscillation |
| topic | oscillation criteria Riccati substitution canonical case |
| url | https://www.mdpi.com/2227-7390/13/6/903 |
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