Second-order general Emden-Fowler differential equations of neutral type: Improved Kamenev-type oscillation criteria
The study of the oscillatory behavior of a general class of neutral Emden-Fowler differential equations is the focus of this work. The main motivations for studying the oscillatory behavior of neutral equations are their many applications as well as the richness of these equations with exciting anal...
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AIMS Press
2024-09-01
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2024241 |
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| author | Asma Al-Jaser Osama Moaaz |
| author_facet | Asma Al-Jaser Osama Moaaz |
| author_sort | Asma Al-Jaser |
| collection | DOAJ |
| description | The study of the oscillatory behavior of a general class of neutral Emden-Fowler differential equations is the focus of this work. The main motivations for studying the oscillatory behavior of neutral equations are their many applications as well as the richness of these equations with exciting analytical issues. We obtained novel oscillation conditions in Kamenev-type criteria for the considered equation in the canonical case. We improve the monotonic and asymptotic characteristics of the non-oscillatory solutions to the considered equation and then utilize these characteristics to refine the oscillation conditions. We present, through examples and discussions, what demonstrates the novelty and efficiency of the results compared to previous relevant findings in the literature. In addition, we numerically represent the solutions of some special cases to support the theoretical results. |
| format | Article |
| id | doaj-art-e213db4983654c9680b50793fc0e28c0 |
| institution | Kabale University |
| issn | 2688-1594 |
| language | English |
| publishDate | 2024-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Electronic Research Archive |
| spelling | doaj-art-e213db4983654c9680b50793fc0e28c02025-01-23T07:52:41ZengAIMS PressElectronic Research Archive2688-15942024-09-013295231524810.3934/era.2024241Second-order general Emden-Fowler differential equations of neutral type: Improved Kamenev-type oscillation criteriaAsma Al-Jaser0Osama Moaaz1Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaDepartment of Mathematics, College of Science, Qassim University, P.O. Box 6644, Buraydah 51452, Saudi ArabiaThe study of the oscillatory behavior of a general class of neutral Emden-Fowler differential equations is the focus of this work. The main motivations for studying the oscillatory behavior of neutral equations are their many applications as well as the richness of these equations with exciting analytical issues. We obtained novel oscillation conditions in Kamenev-type criteria for the considered equation in the canonical case. We improve the monotonic and asymptotic characteristics of the non-oscillatory solutions to the considered equation and then utilize these characteristics to refine the oscillation conditions. We present, through examples and discussions, what demonstrates the novelty and efficiency of the results compared to previous relevant findings in the literature. In addition, we numerically represent the solutions of some special cases to support the theoretical results.https://www.aimspress.com/article/doi/10.3934/era.2024241differential equationskamenev-type criteriaoscillation theorycanonical caseneutral argument |
| spellingShingle | Asma Al-Jaser Osama Moaaz Second-order general Emden-Fowler differential equations of neutral type: Improved Kamenev-type oscillation criteria Electronic Research Archive differential equations kamenev-type criteria oscillation theory canonical case neutral argument |
| title | Second-order general Emden-Fowler differential equations of neutral type: Improved Kamenev-type oscillation criteria |
| title_full | Second-order general Emden-Fowler differential equations of neutral type: Improved Kamenev-type oscillation criteria |
| title_fullStr | Second-order general Emden-Fowler differential equations of neutral type: Improved Kamenev-type oscillation criteria |
| title_full_unstemmed | Second-order general Emden-Fowler differential equations of neutral type: Improved Kamenev-type oscillation criteria |
| title_short | Second-order general Emden-Fowler differential equations of neutral type: Improved Kamenev-type oscillation criteria |
| title_sort | second order general emden fowler differential equations of neutral type improved kamenev type oscillation criteria |
| topic | differential equations kamenev-type criteria oscillation theory canonical case neutral argument |
| url | https://www.aimspress.com/article/doi/10.3934/era.2024241 |
| work_keys_str_mv | AT asmaaljaser secondordergeneralemdenfowlerdifferentialequationsofneutraltypeimprovedkamenevtypeoscillationcriteria AT osamamoaaz secondordergeneralemdenfowlerdifferentialequationsofneutraltypeimprovedkamenevtypeoscillationcriteria |