New Asymptotic Properties of Positive Solutions of Delay Differential Equations and Their Application
In this study, new asymptotic properties of positive solutions of the even-order delay differential equation with the noncanonical operator are established. The new properties are of an iterative nature, which allows it to be applied several times. Moreover, we use these properties to obtain new cri...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-08-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/16/1971 |
| _version_ | 1797522973554376704 |
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| author | Osama Moaaz Clemente Cesarano |
| author_facet | Osama Moaaz Clemente Cesarano |
| author_sort | Osama Moaaz |
| collection | DOAJ |
| description | In this study, new asymptotic properties of positive solutions of the even-order delay differential equation with the noncanonical operator are established. The new properties are of an iterative nature, which allows it to be applied several times. Moreover, we use these properties to obtain new criteria for the oscillation of the solutions of the studied equation using the principles of comparison. |
| first_indexed | 2024-03-10T08:36:53Z |
| format | Article |
| id | doaj.art-37da4887657547c0bac5acc59d41927f |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T08:36:53Z |
| publishDate | 2021-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-37da4887657547c0bac5acc59d41927f2023-11-22T08:34:38ZengMDPI AGMathematics2227-73902021-08-01916197110.3390/math9161971New Asymptotic Properties of Positive Solutions of Delay Differential Equations and Their ApplicationOsama Moaaz0Clemente Cesarano1Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptSection of Mathematics, International Telematic University Uninettuno, CorsoVittorio Emanuele II, 39, 00186 Roma, ItalyIn this study, new asymptotic properties of positive solutions of the even-order delay differential equation with the noncanonical operator are established. The new properties are of an iterative nature, which allows it to be applied several times. Moreover, we use these properties to obtain new criteria for the oscillation of the solutions of the studied equation using the principles of comparison.https://www.mdpi.com/2227-7390/9/16/1971delay differential equationeven-orderasymptotic propertiesoscillationnoncanonical case |
| spellingShingle | Osama Moaaz Clemente Cesarano New Asymptotic Properties of Positive Solutions of Delay Differential Equations and Their Application Mathematics delay differential equation even-order asymptotic properties oscillation noncanonical case |
| title | New Asymptotic Properties of Positive Solutions of Delay Differential Equations and Their Application |
| title_full | New Asymptotic Properties of Positive Solutions of Delay Differential Equations and Their Application |
| title_fullStr | New Asymptotic Properties of Positive Solutions of Delay Differential Equations and Their Application |
| title_full_unstemmed | New Asymptotic Properties of Positive Solutions of Delay Differential Equations and Their Application |
| title_short | New Asymptotic Properties of Positive Solutions of Delay Differential Equations and Their Application |
| title_sort | new asymptotic properties of positive solutions of delay differential equations and their application |
| topic | delay differential equation even-order asymptotic properties oscillation noncanonical case |
| url | https://www.mdpi.com/2227-7390/9/16/1971 |
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