Third-Order Neutral Delay Differential Equations: New Iterative Criteria for Oscillation
This study is aimed at developing new criteria of the iterative nature to test the oscillation of neutral delay differential equations of third order. First, we obtain a new criterion for the nonexistence of the so-called Kneser solutions, using an iterative technique. Further, we use several method...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/6666061 |
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| _version_ | 1832561161938141184 |
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| author | Osama Moaaz Emad E. Mahmoud Wedad R. Alharbi |
| author_facet | Osama Moaaz Emad E. Mahmoud Wedad R. Alharbi |
| author_sort | Osama Moaaz |
| collection | DOAJ |
| description | This study is aimed at developing new criteria of the iterative nature to test the oscillation of neutral delay differential equations of third order. First, we obtain a new criterion for the nonexistence of the so-called Kneser solutions, using an iterative technique. Further, we use several methods to obtain different criteria, so that a larger area of the models can be covered. The examples provided strongly support the importance of the new results. |
| format | Article |
| id | doaj-art-93bb2c3a3819451fa5ffd6c0abf288bf |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-93bb2c3a3819451fa5ffd6c0abf288bf2025-02-03T01:25:46ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/66660616666061Third-Order Neutral Delay Differential Equations: New Iterative Criteria for OscillationOsama Moaaz0Emad E. Mahmoud1Wedad R. Alharbi2Department of Mathematics, Faculty of Science, Mansoura University, 35516 Mansoura, EgyptDepartment of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaPhysics Department, Faculty of Science, University of Jeddah, Jeddah, Saudi ArabiaThis study is aimed at developing new criteria of the iterative nature to test the oscillation of neutral delay differential equations of third order. First, we obtain a new criterion for the nonexistence of the so-called Kneser solutions, using an iterative technique. Further, we use several methods to obtain different criteria, so that a larger area of the models can be covered. The examples provided strongly support the importance of the new results.http://dx.doi.org/10.1155/2020/6666061 |
| spellingShingle | Osama Moaaz Emad E. Mahmoud Wedad R. Alharbi Third-Order Neutral Delay Differential Equations: New Iterative Criteria for Oscillation Journal of Function Spaces |
| title | Third-Order Neutral Delay Differential Equations: New Iterative Criteria for Oscillation |
| title_full | Third-Order Neutral Delay Differential Equations: New Iterative Criteria for Oscillation |
| title_fullStr | Third-Order Neutral Delay Differential Equations: New Iterative Criteria for Oscillation |
| title_full_unstemmed | Third-Order Neutral Delay Differential Equations: New Iterative Criteria for Oscillation |
| title_short | Third-Order Neutral Delay Differential Equations: New Iterative Criteria for Oscillation |
| title_sort | third order neutral delay differential equations new iterative criteria for oscillation |
| url | http://dx.doi.org/10.1155/2020/6666061 |
| work_keys_str_mv | AT osamamoaaz thirdorderneutraldelaydifferentialequationsnewiterativecriteriaforoscillation AT emademahmoud thirdorderneutraldelaydifferentialequationsnewiterativecriteriaforoscillation AT wedadralharbi thirdorderneutraldelaydifferentialequationsnewiterativecriteriaforoscillation |