On The oscillatory behavior of solutions to a class of second-order nonlinear differential equations
In this paper, we obtain some oscillatory properties for the noncanonical second-order differential equation with mixed neutral terms. We established our results first by transforming the equation into canonical type and then by using the Riccati technique to get new oscillatory properties for the c...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-12-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20241718 |
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| author | Maged Alkilayh |
| author_facet | Maged Alkilayh |
| author_sort | Maged Alkilayh |
| collection | DOAJ |
| description | In this paper, we obtain some oscillatory properties for the noncanonical second-order differential equation with mixed neutral terms. We established our results first by transforming the equation into canonical type and then by using the Riccati technique to get new oscillatory properties for the considered equation. We obtained these results to extend and simplify existing criteria in the literature. We discussed some examples to illustrate the effectiveness of our main results. |
| format | Article |
| id | doaj-art-b09c90c598024997b62032b1eb725903 |
| institution | Kabale University |
| issn | 2473-6988 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-b09c90c598024997b62032b1eb7259032025-01-23T07:53:26ZengAIMS PressAIMS Mathematics2473-69882024-12-01912361913620110.3934/math.20241718On The oscillatory behavior of solutions to a class of second-order nonlinear differential equationsMaged Alkilayh0Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi ArabiaIn this paper, we obtain some oscillatory properties for the noncanonical second-order differential equation with mixed neutral terms. We established our results first by transforming the equation into canonical type and then by using the Riccati technique to get new oscillatory properties for the considered equation. We obtained these results to extend and simplify existing criteria in the literature. We discussed some examples to illustrate the effectiveness of our main results.https://www.aimspress.com/article/doi/10.3934/math.20241718mixed neutraldifferential equationsoscillation conditionssecond-orderdelay |
| spellingShingle | Maged Alkilayh On The oscillatory behavior of solutions to a class of second-order nonlinear differential equations AIMS Mathematics mixed neutral differential equations oscillation conditions second-order delay |
| title | On The oscillatory behavior of solutions to a class of second-order nonlinear differential equations |
| title_full | On The oscillatory behavior of solutions to a class of second-order nonlinear differential equations |
| title_fullStr | On The oscillatory behavior of solutions to a class of second-order nonlinear differential equations |
| title_full_unstemmed | On The oscillatory behavior of solutions to a class of second-order nonlinear differential equations |
| title_short | On The oscillatory behavior of solutions to a class of second-order nonlinear differential equations |
| title_sort | on the oscillatory behavior of solutions to a class of second order nonlinear differential equations |
| topic | mixed neutral differential equations oscillation conditions second-order delay |
| url | https://www.aimspress.com/article/doi/10.3934/math.20241718 |
| work_keys_str_mv | AT magedalkilayh ontheoscillatorybehaviorofsolutionstoaclassofsecondordernonlineardifferentialequations |