Oscillation analysis in nonlinear differential equations with mixed neutral terms
In this paper, we study the oscillatory properties of non-canonical neutral differential equations involving superlinear and sublinear terms. We adopt the Riccati technique with various substitutions to analyze the behavior of solutions and establish criteria that ensure their oscillation. The resul...
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| Format: | Article |
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Taylor & Francis Group
2025-12-01
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| Series: | Applied Mathematics in Science and Engineering |
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| Online Access: | https://www.tandfonline.com/doi/10.1080/27690911.2025.2508175 |
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| author | Salma Aljawi Fahd Masood Omar Bazighifan |
| author_facet | Salma Aljawi Fahd Masood Omar Bazighifan |
| author_sort | Salma Aljawi |
| collection | DOAJ |
| description | In this paper, we study the oscillatory properties of non-canonical neutral differential equations involving superlinear and sublinear terms. We adopt the Riccati technique with various substitutions to analyze the behavior of solutions and establish criteria that ensure their oscillation. The results expand upon previous studies by providing new results that enhance the mathematical understanding of non-canonical neutral equations, contributing to the development of oscillation theory for dynamical systems affected by time delays. We also provide three examples to demonstrate the applicability and importance of the results. The abstract was deliberately composed in a concise and focused manner in response to prior reviewer recommendations, aiming to highlight the main contributions of the study with clarity and precision. Its brevity is intentional to maintain coherence and avoid unnecessary elaboration. Nevertheless, if it is a strict requirement of the journal's formatting guidelines, we are prepared to revise the abstract accordingly to meet the word count criteria while ensuring that its academic value and clarity are preserved. |
| format | Article |
| id | doaj-art-5c3a4c2a3d2a4c82964170da524363f8 |
| institution | Kabale University |
| issn | 2769-0911 |
| language | English |
| publishDate | 2025-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Applied Mathematics in Science and Engineering |
| spelling | doaj-art-5c3a4c2a3d2a4c82964170da524363f82025-08-20T03:47:49ZengTaylor & Francis GroupApplied Mathematics in Science and Engineering2769-09112025-12-0133110.1080/27690911.2025.2508175Oscillation analysis in nonlinear differential equations with mixed neutral termsSalma Aljawi0Fahd Masood1Omar Bazighifan2Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Mansoura University, Mansoura, EgyptSection of Mathematics, International Telematic University Uninettuno, Rome, ItalyIn this paper, we study the oscillatory properties of non-canonical neutral differential equations involving superlinear and sublinear terms. We adopt the Riccati technique with various substitutions to analyze the behavior of solutions and establish criteria that ensure their oscillation. The results expand upon previous studies by providing new results that enhance the mathematical understanding of non-canonical neutral equations, contributing to the development of oscillation theory for dynamical systems affected by time delays. We also provide three examples to demonstrate the applicability and importance of the results. The abstract was deliberately composed in a concise and focused manner in response to prior reviewer recommendations, aiming to highlight the main contributions of the study with clarity and precision. Its brevity is intentional to maintain coherence and avoid unnecessary elaboration. Nevertheless, if it is a strict requirement of the journal's formatting guidelines, we are prepared to revise the abstract accordingly to meet the word count criteria while ensuring that its academic value and clarity are preserved.https://www.tandfonline.com/doi/10.1080/27690911.2025.2508175Neutral differential equationsoscillation propertiesRiccati techniquenonlinear equationsnoncanonical casesecond order |
| spellingShingle | Salma Aljawi Fahd Masood Omar Bazighifan Oscillation analysis in nonlinear differential equations with mixed neutral terms Applied Mathematics in Science and Engineering Neutral differential equations oscillation properties Riccati technique nonlinear equations noncanonical case second order |
| title | Oscillation analysis in nonlinear differential equations with mixed neutral terms |
| title_full | Oscillation analysis in nonlinear differential equations with mixed neutral terms |
| title_fullStr | Oscillation analysis in nonlinear differential equations with mixed neutral terms |
| title_full_unstemmed | Oscillation analysis in nonlinear differential equations with mixed neutral terms |
| title_short | Oscillation analysis in nonlinear differential equations with mixed neutral terms |
| title_sort | oscillation analysis in nonlinear differential equations with mixed neutral terms |
| topic | Neutral differential equations oscillation properties Riccati technique nonlinear equations noncanonical case second order |
| url | https://www.tandfonline.com/doi/10.1080/27690911.2025.2508175 |
| work_keys_str_mv | AT salmaaljawi oscillationanalysisinnonlineardifferentialequationswithmixedneutralterms AT fahdmasood oscillationanalysisinnonlineardifferentialequationswithmixedneutralterms AT omarbazighifan oscillationanalysisinnonlineardifferentialequationswithmixedneutralterms |