New Conditions for Testing the Asymptotic and Oscillatory Behavior of Solutions of Neutral Differential Equations of the Fourth Order
In this work, in the noncanonical case, we find new properties for a class of positive solutions of fourth-order differential equations. These properties allow us to obtain iterative criteria that exclude positive decreasing solutions, and we then establish sufficient conditions to guarantee that al...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-02-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/12/2/219 |
| _version_ | 1797622322518032384 |
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| author | Amany Nabih Osama Moaaz Ghada AlNemer Elmetwally M. Elabbasy |
| author_facet | Amany Nabih Osama Moaaz Ghada AlNemer Elmetwally M. Elabbasy |
| author_sort | Amany Nabih |
| collection | DOAJ |
| description | In this work, in the noncanonical case, we find new properties for a class of positive solutions of fourth-order differential equations. These properties allow us to obtain iterative criteria that exclude positive decreasing solutions, and we then establish sufficient conditions to guarantee that all solutions to the examined equation oscillate. The importance of applying the results to a special case of the investigated equation is demonstrated. |
| first_indexed | 2024-03-11T09:09:35Z |
| format | Article |
| id | doaj.art-02868b82f17b4fbf85e54815460cd364 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-11T09:09:35Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-02868b82f17b4fbf85e54815460cd3642023-11-16T19:06:57ZengMDPI AGAxioms2075-16802023-02-0112221910.3390/axioms12020219New Conditions for Testing the Asymptotic and Oscillatory Behavior of Solutions of Neutral Differential Equations of the Fourth OrderAmany Nabih0Osama Moaaz1Ghada AlNemer2Elmetwally M. Elabbasy3Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptDepartment of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptDepartment of Mathematical Science, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 105862, Riyadh 11656, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptIn this work, in the noncanonical case, we find new properties for a class of positive solutions of fourth-order differential equations. These properties allow us to obtain iterative criteria that exclude positive decreasing solutions, and we then establish sufficient conditions to guarantee that all solutions to the examined equation oscillate. The importance of applying the results to a special case of the investigated equation is demonstrated.https://www.mdpi.com/2075-1680/12/2/219oscillationdifferential equationneutral delaynoncanonical case |
| spellingShingle | Amany Nabih Osama Moaaz Ghada AlNemer Elmetwally M. Elabbasy New Conditions for Testing the Asymptotic and Oscillatory Behavior of Solutions of Neutral Differential Equations of the Fourth Order Axioms oscillation differential equation neutral delay noncanonical case |
| title | New Conditions for Testing the Asymptotic and Oscillatory Behavior of Solutions of Neutral Differential Equations of the Fourth Order |
| title_full | New Conditions for Testing the Asymptotic and Oscillatory Behavior of Solutions of Neutral Differential Equations of the Fourth Order |
| title_fullStr | New Conditions for Testing the Asymptotic and Oscillatory Behavior of Solutions of Neutral Differential Equations of the Fourth Order |
| title_full_unstemmed | New Conditions for Testing the Asymptotic and Oscillatory Behavior of Solutions of Neutral Differential Equations of the Fourth Order |
| title_short | New Conditions for Testing the Asymptotic and Oscillatory Behavior of Solutions of Neutral Differential Equations of the Fourth Order |
| title_sort | new conditions for testing the asymptotic and oscillatory behavior of solutions of neutral differential equations of the fourth order |
| topic | oscillation differential equation neutral delay noncanonical case |
| url | https://www.mdpi.com/2075-1680/12/2/219 |
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