Functional Differential Equations with Several Delays: Oscillatory Behavior
In this work, we study the asymptotic behavior of even-order delay functional differential equation. As an extension of the recent development in the study of oscillation, we obtain improved and simplified criteria that test the oscillation of solutions of the studied equation. We adopt an approach...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-07-01
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| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/14/8/1570 |
| _version_ | 1797441720144625664 |
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| author | Barakah Almarri Ali Muhib Clemente Cesarano Osama Moaaz Mona Anis |
| author_facet | Barakah Almarri Ali Muhib Clemente Cesarano Osama Moaaz Mona Anis |
| author_sort | Barakah Almarri |
| collection | DOAJ |
| description | In this work, we study the asymptotic behavior of even-order delay functional differential equation. As an extension of the recent development in the study of oscillation, we obtain improved and simplified criteria that test the oscillation of solutions of the studied equation. We adopt an approach that improves the relationships between the solution with and without delay. The symmetry between the positive and negative solutions also plays a key role in simplifying the presentation of the main results. Finally, we attach an example to illustrate the results and compare them together with the previous results in the literature. |
| first_indexed | 2024-03-09T12:28:13Z |
| format | Article |
| id | doaj.art-e5eb5054517a47c5b600777a9ba0ea68 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T12:28:13Z |
| publishDate | 2022-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-e5eb5054517a47c5b600777a9ba0ea682023-11-30T22:33:12ZengMDPI AGSymmetry2073-89942022-07-01148157010.3390/sym14081570Functional Differential Equations with Several Delays: Oscillatory BehaviorBarakah Almarri0Ali Muhib1Clemente Cesarano2Osama Moaaz3Mona Anis4Department of Mathematical Sciences, College of Sciences, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptSection of Mathematics, International Telematic University Uninettuno, CorsoVittorio Emanuele II, 39, 00186 Rome, ItalyDepartment of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptDepartment of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptIn this work, we study the asymptotic behavior of even-order delay functional differential equation. As an extension of the recent development in the study of oscillation, we obtain improved and simplified criteria that test the oscillation of solutions of the studied equation. We adopt an approach that improves the relationships between the solution with and without delay. The symmetry between the positive and negative solutions also plays a key role in simplifying the presentation of the main results. Finally, we attach an example to illustrate the results and compare them together with the previous results in the literature.https://www.mdpi.com/2073-8994/14/8/1570delay differential equationeven ordersufficient conditionsnoncanonical case |
| spellingShingle | Barakah Almarri Ali Muhib Clemente Cesarano Osama Moaaz Mona Anis Functional Differential Equations with Several Delays: Oscillatory Behavior Symmetry delay differential equation even order sufficient conditions noncanonical case |
| title | Functional Differential Equations with Several Delays: Oscillatory Behavior |
| title_full | Functional Differential Equations with Several Delays: Oscillatory Behavior |
| title_fullStr | Functional Differential Equations with Several Delays: Oscillatory Behavior |
| title_full_unstemmed | Functional Differential Equations with Several Delays: Oscillatory Behavior |
| title_short | Functional Differential Equations with Several Delays: Oscillatory Behavior |
| title_sort | functional differential equations with several delays oscillatory behavior |
| topic | delay differential equation even order sufficient conditions noncanonical case |
| url | https://www.mdpi.com/2073-8994/14/8/1570 |
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