Second-Order Neutral Differential Equations: Improved Criteria for Testing the Oscillation
The main purpose of this study is to establish new improved conditions for testing the oscillation of solutions of second-order neutral differential equation rlu′lγ′+qlxβσl=0, where l≥l0 and ul≔xl+pxϱl. By optimizing the commonly used relationship x>1−pu, we obtain new criteria that give sharper...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6665103 |
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| author | Osama Moaaz Ali Muhib Saud Owyed Emad E. Mahmoud Aml Abdelnaser |
| author_facet | Osama Moaaz Ali Muhib Saud Owyed Emad E. Mahmoud Aml Abdelnaser |
| author_sort | Osama Moaaz |
| collection | DOAJ |
| description | The main purpose of this study is to establish new improved conditions for testing the oscillation of solutions of second-order neutral differential equation rlu′lγ′+qlxβσl=0, where l≥l0 and ul≔xl+pxϱl. By optimizing the commonly used relationship x>1−pu, we obtain new criteria that give sharper results for oscillation than the previous related results. Moreover, we obtain criteria of an iterative nature. Our new results are illustrated by an example. |
| format | Article |
| id | doaj-art-31b00ec633ed43a283aa1523abf166ec |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-31b00ec633ed43a283aa1523abf166ec2025-02-03T01:05:26ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66651036665103Second-Order Neutral Differential Equations: Improved Criteria for Testing the OscillationOsama Moaaz0Ali Muhib1Saud Owyed2Emad E. Mahmoud3Aml Abdelnaser4Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptDepartment of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptDepartment of Mathematics, College of Sciences, University of Bisha, P.O. Box 344, Bisha 61922, Saudi ArabiaDepartment of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptThe main purpose of this study is to establish new improved conditions for testing the oscillation of solutions of second-order neutral differential equation rlu′lγ′+qlxβσl=0, where l≥l0 and ul≔xl+pxϱl. By optimizing the commonly used relationship x>1−pu, we obtain new criteria that give sharper results for oscillation than the previous related results. Moreover, we obtain criteria of an iterative nature. Our new results are illustrated by an example.http://dx.doi.org/10.1155/2021/6665103 |
| spellingShingle | Osama Moaaz Ali Muhib Saud Owyed Emad E. Mahmoud Aml Abdelnaser Second-Order Neutral Differential Equations: Improved Criteria for Testing the Oscillation Journal of Mathematics |
| title | Second-Order Neutral Differential Equations: Improved Criteria for Testing the Oscillation |
| title_full | Second-Order Neutral Differential Equations: Improved Criteria for Testing the Oscillation |
| title_fullStr | Second-Order Neutral Differential Equations: Improved Criteria for Testing the Oscillation |
| title_full_unstemmed | Second-Order Neutral Differential Equations: Improved Criteria for Testing the Oscillation |
| title_short | Second-Order Neutral Differential Equations: Improved Criteria for Testing the Oscillation |
| title_sort | second order neutral differential equations improved criteria for testing the oscillation |
| url | http://dx.doi.org/10.1155/2021/6665103 |
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