On the Positive Decreasing Solutions of Half-Linear Delay Differential Equations of Even Order
In this paper, we derive new properties for the decreasing positive solutions of half-linear delay differential equations of even order. The positive-decreasing solutions have a great influence on the study of qualitative properties, which include oscillation, convergence, etc.; therefore, we take c...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-03-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/6/1282 |
| _version_ | 1797610363511898112 |
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| author | Ghada AlNemer Waed Muhsin Osama Moaaz Elmetwally M. Elabbasy |
| author_facet | Ghada AlNemer Waed Muhsin Osama Moaaz Elmetwally M. Elabbasy |
| author_sort | Ghada AlNemer |
| collection | DOAJ |
| description | In this paper, we derive new properties for the decreasing positive solutions of half-linear delay differential equations of even order. The positive-decreasing solutions have a great influence on the study of qualitative properties, which include oscillation, convergence, etc.; therefore, we take care of finding sufficient conditions to exclude these solutions. In addition, we present new criteria for testing the oscillation of the studied equation. |
| first_indexed | 2024-03-11T06:13:23Z |
| format | Article |
| id | doaj.art-701ecfb526f14e73a86a7c2e7a184ba0 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T06:13:23Z |
| publishDate | 2023-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-701ecfb526f14e73a86a7c2e7a184ba02023-11-17T12:26:26ZengMDPI AGMathematics2227-73902023-03-01116128210.3390/math11061282On the Positive Decreasing Solutions of Half-Linear Delay Differential Equations of Even OrderGhada AlNemer0Waed Muhsin1Osama Moaaz2Elmetwally M. Elabbasy3Department of Mathematical Science, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 105862, Riyadh 11656, Saudi ArabiaDepartment of Mathematics, Faculty of Science, University of Tripoli, Tripoli 13275, LibyaDepartment of Mathematics, College of Science, Qassim University, P.O. Box 6644, Buraydah 51452, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptIn this paper, we derive new properties for the decreasing positive solutions of half-linear delay differential equations of even order. The positive-decreasing solutions have a great influence on the study of qualitative properties, which include oscillation, convergence, etc.; therefore, we take care of finding sufficient conditions to exclude these solutions. In addition, we present new criteria for testing the oscillation of the studied equation.https://www.mdpi.com/2227-7390/11/6/1282differential equations of even orderdecreasing positive solutionsoscillatory behaviornon-canonical |
| spellingShingle | Ghada AlNemer Waed Muhsin Osama Moaaz Elmetwally M. Elabbasy On the Positive Decreasing Solutions of Half-Linear Delay Differential Equations of Even Order Mathematics differential equations of even order decreasing positive solutions oscillatory behavior non-canonical |
| title | On the Positive Decreasing Solutions of Half-Linear Delay Differential Equations of Even Order |
| title_full | On the Positive Decreasing Solutions of Half-Linear Delay Differential Equations of Even Order |
| title_fullStr | On the Positive Decreasing Solutions of Half-Linear Delay Differential Equations of Even Order |
| title_full_unstemmed | On the Positive Decreasing Solutions of Half-Linear Delay Differential Equations of Even Order |
| title_short | On the Positive Decreasing Solutions of Half-Linear Delay Differential Equations of Even Order |
| title_sort | on the positive decreasing solutions of half linear delay differential equations of even order |
| topic | differential equations of even order decreasing positive solutions oscillatory behavior non-canonical |
| url | https://www.mdpi.com/2227-7390/11/6/1282 |
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